kinematic

‫ ّْ ْ ْ ْ ْ لْ ا ْ ا ْآ ِ ‬ ‫آ ْ ُ َ رُوقْ ْ ْ ُ ْ‬ ‫& َ َ ‪ َ ْ ْ ْ ْ !"ْ ْ #$%‬‬ ‫© رَا ْ‬ ‫) أ ُ ِ‪!! ْ'#‬‬ ‫ ّْ‪ْ #‬‬ ‫وْا ْ‪ ْ ِ + ,-‬ا ْآ*ْ ْ‬

‫‪ .ِ ,‬ا‪/‬‬ ‫ِ ْ‬

‫ ْ‪0ِ َ 1‬‬ ‫‪ٍ ْ 4‬ء ِ ِ‬ ‫‪َ 5‬‬ ‫ع ِ ُ‪َ ْ 9‬ر‪َ ،0ِ8‬و َ‪َ 6‬ر ُآ ‬ ‫ ْ ُ ‪ ،0ِ -َ =ِ !"َ /‬ا <ِي أ ْ َ َ‬ ‫ا َ‬ ‫> َ ِ ْ‪0‬‬ ‫ ا َ‪ِ ِ#ْ B‬إ ْ‪َ 6‬ارًا ِ ُ ُ ِ َ‪َ 0ِ #‬و ‪َ 0ِ8@ -ِ ِ <َ8‬و ُ ُ ً ِ َ‪َ -‬‬ ‫=ُ ِ ْ ِ َ‬ ‫ ًا َو َ=<ِ‪ً C‬ا "‪ْ #ِ َ-‬‬ ‫ ًا ‪ !"َD‬ا‪َ 0ِ #ْ "َ /‬و ‪$ َ ُ ْ."َ%‬‬ ‫‪َ ُ ْ5%‬‬ ‫‪ِ G‬إ َ َم ا ‪ُ E‬‬ ‫َ َ‪َ -‬‬ ‫‪ َ CI ِ َ= ُ9 َ %‬نْ‬ ‫ َ‬ ‫ي وَ‪َ ْ I‬ا ِ= َ ا <ِ‪َ C‬‬ ‫‪َ ِ ْ Jِ K‬وِ َاِ َ ‬ ‫َر َ ا ْ‬ ‫ش ا َ‪ْ.#ِ>-‬‬ ‫ب ا َ‪ِ ْ -‬‬ ‫ َ"‪ َ 8َ 0ْ#‬آ "‪َ O‬و ُه َ َر ‪E‬‬ ‫‪َ ،P ِ#ْ K‬‬ ‫َو ِ ‪َ ِ ِ9#ِ ْ 8َ /‬ه<َا َو ِ َ‬ ‫‪. #ِ"%‬‬ ‫‪ ْR#ِ S‬ا‪ َ# ِ =ْ Q‬ء َو ا ُ ْ َ‬ ‫ ِ ِ‪َ 0‬و َ‬ ‫‪ْD‬‬ ‫‪ !َJU‬وَ‪َ 0ِ ِT‬و َ‬ ‫‪َV‬‬ ‫‪ W‬ا ُ ْ‬ ‫ ِ‪ِ #‬‬ ‫‪ !"َ /‬ا َ‬ ‫َو‪ !"َD‬ا ُ‬

‫لْ َ وْ ِ ‬ ‫& َ‪ ،+‬ﯕ ُ ‪!! ْ #ِ T‬‬ ‫ "ِ‪ َY#‬ا ّ ْ ْ‬ ‫[ ّ ْدْ ْ‬ ‫ا‪ِ َY ْ ْ&ْ Cْ /‬و‪ْ C‬‬

‫ا ْ"‪ +َ9‬ا " ْ ‪+‬‬

‫ َ آَ ‬ ‫ ْ ْ َ عْ ا َ‬ ‫ْ‬ ‫ ْآُ ؟‬ ‫آِ‪ َJ#‬شْ َ‪ْ ْ ْ 8‬‬

‫ هَ دْ ا ‪َ 1ِJ‬ة ‪ َ8‬عْ = ْ‪ ْW ْ 1‬ا ‪ّ ْ ْ]C@#ِJ‬ار‪ +َS‬؟‬ ‫&‪َ "ْ ْO‬‬ ‫آِ‪ َJ#‬شْ _َ ْ‬ ‫` أ = ُ‪: 0‬‬ ‫ْ ّْ ْ ‪ ْO‬و ا=َ ْ= ْ" َ‬ ‫‪. !َ V‬‬ ‫ل ْ"‪ْ Jُ +# َ-‬‬ ‫ "َ! ‪ِ َC ْ # ُ 1ْ ْ ْ]C@#ِJ‬إ ْ ْ‪ ِ,=ْ ُ J‬وْ ّ‬ ‫ب ِ ْ ْ‪ ِBْ ْ ْ ْ # ُ 1‬بْ ْ‬ ‫أو ‪ a‬ﯕ عْ ْ‪َ ُ 1‬‬ ‫ب دْ‪ َC‬وْ ‪ "ْDْ #ْ 8 َ َY‬شْ ْ ‪ َB‬رْ َ‪ +‬آُ"‪ ُY‬مْ‪.‬‬ ‫ ْ‪َ ّ ْ5#ِ"6ْ ِ,=ْ ُ J‬آ ْ‪ ، َY ْ Yْ Jْ #‬دَا ْآ ِ ْ شْ ْ‪َ ُ 1‬‬ ‫ل ْ ‪ّ@ ْ ِ 9ْ 8 5ْ1‬افْ‪.‬‬ ‫‪ُ c‬وا ْ ‪ َ ْ 5ْ1‬مْ وْ ّ‬ ‫& ْ ‪ َC ،ْ ْ T‬إ ّ ْ‪ْ Yْ #ْ 8َ +َ ُ 1‬‬ ‫‪ ْ51ْ 4 !َ V‬وَا ْ‬ ‫أ ْ‪ْ Jُ +َ# ْ -‬‬ ‫ َا ْ‪: ْdC‬‬ ‫[ ْ ‪ ْ # ْR‬هَ دْ ‪ ُS‬جْ ‪ 8‬عْ ْ‬ ‫أ=َ ‪ َK‬دِي ْ= َ وْلْ ْ= ْ‬ ‫ أّ= ُ‪ َ 0‬صْ ا ‪ ُ18ْ +َ ْ 1‬نْ ْ ْ‪ َB ْ +َ ُYJ‬رْ َ‪ُ +‬آ ْ" ُ‪ ْ.Y‬ـ دَا ْآ ِ ْ شْ ‪ َK‬دِي ْ= ْ‪ّ ْ َY ْ ْ 1‬ار‪ +َS‬ـ‪.‬‬ ‫أ ّولْ &َ ‪ِ +َS‬ه َ‬ ‫ أّ= ُ‪ َ 0‬صْ ا ‪ ُ18ْ +َ ْ 1‬نْ ْ ‪ َ ْ 5ْ1‬مْ وْ ْ ْ ْ‪. ِ 9ْ 8ِ 5ْ1 ْ ْO6ْ ْ ْ'J‬‬ ‫وْ‪ِ +َS َ& ِ= h‬ه َ‬ ‫ َ ِ ‪.‬‬ ‫ ْﯔ‪ ،‬أ ّوْلْ &ْ"‪ِ َY#ِ +َ9‬ه َ‬ ‫ ْ ْ‬ ‫ ِ ّْ ْ َ ا ْ ِ ِ ّ َ ِ َ ْ‬ ‫ ْ ْ ْ‬ ‫ َ دِي ْ َ وْل ْ ْ ْ ْ ْ‬ ‫هَ دْ ا ْ"‪ْ +َ9‬آ ْ ْ ْ ‪ َ َY‬شْ ْ‪َ 9ْ C‬اهَ ‪:‬‬ ‫ ْ َ ‪.‬‬ ‫ ْ ُو َ ْ‬ ‫ & ‪ْ َ َ َ ِ ْ ّْ!ْ "ْ #ْ َ$ْ%‬‬ ‫وْ ل َ ْ* َ وْ َ ْ* ْ ْ َ شْ ْ (ْ‪ َ#‬نْ‪.‬‬ ‫‪,ْ-"ِ .‬عْ‪.‬‬ ‫ ‪ ِ* 01‬ا‪ْ /‬‬ ‫وْ ل َ ْ* َ وْ ْ* ْ ْ َ ْ (ْ‪ َ#‬نْ وَ ِ ‪ ْ4‬هِ‪ُ ْ 2‬‬ ‫‪.5‬‬ ‫‪ْ6‬‬ ‫ ُ ِ‪ُ ْ.Y‬ه َ أ = ُ‪ ُ1Cْ 0‬نْ َ‪ْ -ْ #ْ 8‬فْ ْ‪ ْ7 ْ #‬ا ْ‬ ‫! ُ ِ َ ا ِ ِ ْ ْ " ار َ ‪.‬‬ ‫‪ِ. ْ /‬ي ‪ َ-‬شْ ْ ْ ّ‪ َ*ْ+&ْ %‬نْ‪ ْ'(ْ "َ ،‬هَ دِي أ ّوْل َ&‪$%‬ة َ دِي ْ" ُ‬ ‫ ‪ِ.‬ي ْ َ وْلْ ْ ‪ ْ%*ِ.‬أ‪ْ ْ 01‬‬ ‫َ‬ ‫> َ= ا ِ "َا ُ& ْ َ ‪.‬‬ ‫‪ ْ45‬ا‪َ% ْ ِ 1‬ة‪ ِ 2ْ *ْ ،‬ا ّْ‪ َ -ِ %َ21 ْ- ْ# ِ $ْ %‬ا‪ْ ُ 1‬‬ ‫ا‪%َ <َ 1‬ضْ ْ&'ْ ا‪ َ ّ1ِ ِ9&ْ :‬دِي ْﯖ ْ‪ ُ 1‬مْ ُه َ أ‪ْ ُ 6ُ $‬‬ ‫? ْ ‪ُ%*ِ. ْ َ& َ ْ.‬و ‪.ْ6 ِ-‬‬ ‫‪ ، ً B‬هَ دْ ا‪@ْ 1‬مْ &َ ْ‬ ‫‪َ%D‬ا َ" ِر* ِ‬ ‫ل رَا‪ ْF‬هَ آ‪ْ $‬‬ ‫َ&!ِ ‪ َ-‬شْ ْﯖ لْ رَا‪َ ْF‬ه‪َI‬ا ُه َ ِ‪ َH1ْ ّ1‬هَ ذْ ا‪ َD َ 1‬وْ ‪$‬‬ ‫‪ َ ْ ِ ْ

ْ J‬نْ‪ ،‬رَا‪ ْF‬هِ ‪ ْ- ْ%‬دْ ا‪ َ- َH*%$P1‬شْ َ دي ْ‪ُ.*+‬و أ‪ْ1‬ﯖ‪$.‬امْ‪.‬‬ ‫‪ ،ْO ِ ُ 1‬إ‪ =َ1‬ﯕ ْ‪َ% ْ ِ ِK L‬ة ْ‬ ‫ ْ َ‪: 5#ِ Cِj ْ ْ Y‬‬ ‫ ِ" َ‬ ‫‪ Cْ@ ْ ْ* ْ ُ1#ِ ْO=ْ َ َ +َS َ& ِ4 5‬ن‪ْ #$i#ِ ،‬‬ ‫و‪َ C‬‬ ‫‪takicours@gmail.com‬‬

‫‪ َ8‬‬ ‫أ ّ‪ْ 9‬‬ ‫ ْآُ ‪.‬‬ ‫‪ ْ ,‬آِ‪ َJ#‬شْ َ‪ْ ْ #ْ 8‬‬ ‫ ْ"‪ ْ "ْ ْ ْ. ْ Yْ#8َ ِ َ ْ.‬ا ْ‪ ْdC‬أ ‪ ، #ِ ْ C ْC k $‬أُو َ‪ َ #ْ 8‬وْلْ إ‪ْ Jْ C‬‬ ‫ِ‬ ‫*)ْ‪.‬‬ ‫ط ا ُ‬ ‫‪ْ &ُ,‬‬‫> َ= ا ّ‬ ‫ ‪%َ R‬آَ ا ّ *َ نْ )&َ ‪ ِK‬ا‪ َ ّP1‬نْ ْ ‪ْ "َ ،( =َ 1 ْQ&ْ َ/‬ﯖ ‪ ِ-ْ%2ْ ْ -ْ ِ1 ُ1‬ا‪ْ ُ 1‬‬ ‫‪ َ -ْ َ ِ ْO ْ B‬دْم ِه َ‬ ‫أ ّوْلْ ‪%َ R‬آَ ‪ J‬صْ إ* ْ‬ ‫ َا ْ‪ ْdC‬؟‬ ‫ آِ‪ َ 2‬شْ َ‪ْ ْ ُ #ِU#ْ 8‬‬ ‫‪َ +َ#k‬د َ ِه َ‬ ‫ ‪ِ َ9‬‬

‫ َ آَ ـ آَ‪ َ 2‬شْ ـ‬ ‫< ْ ْ َ عْ ا َ‬ ‫ا ْ‬ ‫ َ آَ ‬ ‫ َ لْ دْ‪ #‬لْ ْ َ‬ ‫ْ‬ ‫ل ْ ْ‪.‬‬ ‫‪ +َl#ِY ْ."ِ ْPْ #ّ ,‬وْ ّ‬ ‫& َ َآ ْ ْ‬ ‫‪ = P #ِ ,‬سْ ‪ 8‬عْ اُورو‪ S ْ]#8 #ِ #ّ, ّn‬تْ ْ ْ ‪ ، ِ #ّ%‬وْ ْ‬ ‫ َآ ـ َ‪ْ #ْ 8‬‬ ‫ ِ"‪ ْ.‬ـ آ‪ 2‬شْ َ‬ ‫< ْ ْ ـ‪.‬‬ ‫‪ َ ِ #$% ْ #$ ,‬ـ ْ* ْ‬ ‫دَاآْ ْ شْ ْ= ْ‪ْ 9‬رُو ْ= ْ‬ ‫ َ آَ ‪.‬‬ ‫‪ِ َ 4‬ه‪ َ -ْ ْ +َ#‬ا َ‬ ‫‪َ -ْ ْ َ V‬ا ْ= ْ‪ ُ ْ -‬أ ْ‬ ‫َ ْ‬ ‫‪: ْ q‬‬ ‫& ُ ْ ْ‪ َ 1‬بْ ا َ َ ِ‬ ‫‪ 4‬ا َ ‪ ْ >ْ2‬ا‪ْ ْ Cْ /‬‬ ‫َ‪ْ#8‬ﯖ لْ ا ْ‪ُ %‬‬ ‫وإذ ‪ R# S O # 8 6‬ه<‪ P‬ا ‪ = -‬و&‪ 9 Y-# S # 8 r 9= =s +‬ل‪:‬‬ ‫إن ا ‪ C V‬رك ا آ‪ +‬إدراآ‪ V " 0‬ا ك "! و@!‪ 42 "6 42‬و?"‪42 "6 42‬‬ ‫‪ 1C‬ن ا @ ن ا <ي ‪ ،ً % , Y #‬وه<‪ P‬ه آ‪ 2 2‬إدراك ا ‪ " V‬آ‪.+‬‬ ‫‪ A‬ا وْ ا ُ ‪ 9‬ة‪.‬‬‫‪ ُ ْ -ْ =ْ َ V‬ا ّْ‬ ‫ َ آَ‪ْ ْ +‬‬ ‫ل ْ ‪ ُ ْ -ْ =ْ َ #ِB‬ا َ‬ ‫ْ‪ ِ -ْ C‬أ = ُ‪ِ 0‬إ َ‬ ‫‪ُ & ُ ْ51ْ 4‬و‪.‬‬ ‫‪ْ 5‬‬ ‫‪ُ ُ ,‬آ ‬ ‫ َ آَ‪ ،+‬اُو ْ ْ ْ ْ‪ ْ -‬اْ ْ= ْ‪ْ J‬‬ ‫‪ َ14‬لْ دْ‪ C‬لْ ْ َ‬ ‫ =ْ ْدو أ‪ ْ4‬هُ ْ‬ ‫أ ّولْ &َ ‪َ ْ =ْ +َS‬او ِ‪ِ َY#‬ه َ‬ ‫‪ َ14‬لْ ‪:‬‬ ‫ َآ‪AF +‬جْ ‪ َ8‬عْ ْ‬ ‫أور‪ ّ ْ ْC#‬قْ ْ َ‬ ‫‪ ِH"َ Iْ ُ 2ِJ"َ C‬ـ ‪:‬‬ ‫ َ آَ ُ ْ‬ ‫‪ !َ V‬ـ َ‬ ‫‪ْ #ِ ,‬ه ْ ْ" ُ‪ْ J‬‬ ‫‪ A‬ا َ ـ َ‪ْ #ْ 8‬‬‫ َآ ْﯖ دّة ْ* ْ‬ ‫‪ ّ ْ ْ51ْ 4‬لْ ه ـ َ‬ ‫ ﯕ"ِ‪ ْ]#‬أ‪ِ #%‬ي ْ‬ ‫ ْ!!‬ ‫ ْ وْ َآ ْ فْ ِ‪ 0#‬و َآ ْ‪ Yْ 5ّ j‬د ْ ْ >ْ ا ْ‬ ‫‪ O‬ﯕ ْ‬ ‫‪ّAK‬ا َ ‪ ،‬وْ ْ= َ‬ ‫دَا َ ْ‪ ْV8‬رُو ْ ‪ُ 1ْ ْ ِ4 C َ-‬ونْ ‪ َ4‬دْ ‪ْ ِ4‬‬ ‫‪ّAK‬ا َ ِ‪ ْ # Y#‬و‪.‬‬ ‫‪ْ k‬بْ ْ‬ ‫‪ َ 4‬لْ ْ‪ ْr‬ه دْ ا ‪ُ 1ْJ‬ونْ ْ ْ‪َ ْL?ْ ْA‬ش إ ْ‬ ‫‪ ْ]%‬أ َر ْ= ُ فْ ْ‬ ‫‪ Rَ ْ O‬را ْ‬ ‫‪ O‬ﯕ ْ" ِ‬ ‫وَا& ْ ‪َ #ِ6‬‬ ‫ ‪ "ْ ْO6ْ ْ Wْ,‬ﯖ =‪.+‬‬ ‫‪ ْ ْ ْ5D‬ا‪ 8 +C‬ع ْ ‪ #‬و ّ ْ ‪ ، 8‬وْ ْ ْ ْ‪ْ 8ْ Cِ ْ ْ -‬‬ ‫& ّ! وْ ْ‬ ‫‪ْ P ّ ,‬‬ ‫ ْ ْ‪ ْ"2 8‬و‪ ،‬وْ ْ‪َ #9‬آ ْ ْ‬ ‫ْ‬ ‫ "َ‪.ْ42‬‬ ‫‪ْ k‬بْ ُ‪A‬جْ ِ ْ" ُو ْ*‪ْ َC‬‬ ‫‪ْ k‬بْ ِ ْ" ُو ْ*‪ َ َC‬وْ ْ‬ ‫` ِ‪ْ 0ّ=j‬‬ ‫‪َ ، ْ V‬آ ْ" َ‬ ‫ي ْ‪ْ 8‬‬ ‫& ْ ‪َ ْ4‬‬ ‫ ْ ا ْ‬

‫! ا ْ ْ‪َ ْO6‬آ ْ ْ‪: ْ]#ِU-‬‬ ‫‪ U‬ا ‪َ "ْ +‬‬ ‫‪ ِ ْ ,‬ا ّْ‬ ‫ل ْ‪ْ 6‬‬ ‫ِإ َ‬

‫وْ‬ ‫& ْ ا َ‪ َ -‬دْ ‪:‬‬ ‫‪ U‬ا ‪ !"ْ +‬ا ْ ْ‪ ْ]#ِU-ْ ْ 8َ ْO6‬دِ‪ َ C‬وَا ْ‬ ‫‪ ِ ْ ,‬ا ّْ‬ ‫ل ْ‪ْ 6‬‬ ‫ْ‪ِ ِ -ْ C‬إ َ‬

‫‪ ، َ ْ C‬وْ َ‪ْ 8‬ﯖ ُ ا ْ‪ُ 1ْ J‬ونْ ‪ َK‬دِي بْ ‪ُ ْ ِ 1‬و ْ ‪.+َ ,‬‬ ‫‪ْ #$ ,‬هَ ا ‪O‬‬ ‫ ِ ّ َآ ْ ْ‬ ‫ا ‪ N‬ﯕ َة ‪ِ 1‬ه َ‬ ‫ )‪ َP‬ﯕ َة(‪.‬‬ ‫ ِه َ‬ ‫‪ A‬ا َ ـ &ِ‪ ْO#‬ا ‪ َY#ِ +َ E,‬آ ْ‪ِ َ9 ْ 8‬ه َ‬‫ َآ ْﯖ دّة ْ* ْ‬ ‫‪ #ّ ,‬ه ـ َ‬ ‫ه دْ ْ َ آَ‪ْ ْ 8َ +‬‬ ‫& ْ ْ ‪9ِ َJ‬ة اْ ‪ $‬ه ‪:‬‬ ‫ َ آَ‪ ْR ْ 8َ +‬دا‪ ً ْC‬وَا ْ‬ ‫ـ أور‪ ْC#‬ـ َ‪ْ#8‬ﯖ ‪ َ #$‬ه دْ ْ َ‬ ‫‪$ P‬ا‪ 1‬آَ ‪َ+‬اد ‪ -ْ/ 0 ْ1‬بْ ا‪ُ ،ْLTْ 1‬ا ‪.ْH ْ 01‬رو ْ ْ ‪ ُV‬ه ‪ َH*%ّP1 ْ-‬ا‪: ِU *0%1‬‬ ‫ا‪ّ 1‬‬ ‫‪$ P‬ا‪ 1‬‬ ‫ ِوي ا‪ّ 1‬‬ ‫ب فْ ‪ -ْ/ 0 1‬ب َ" ْ َ‬ ‫‪ُ%Y‬و َ‬ ‫ا‪ْ &ْ LْT 1‬‬ ‫ ِ ْهَ " ﭬ ‪ %‬سْ " ‪ " = >ُ 1ْ ِ-ْ%2ْ ْ-‬ا ‪: " 1)ّ-‬‬ ‫ ‪َ 01‬آ ْ ْ‬ ‫‪ َ-/‬ب " ِه َ‬ ‫ه‪ْ 0 ْ1 " ْZ*ِ.‬‬ ‫‪$ P‬ا‪ 1‬‬ ‫ب فْ ا ‪ُ .ِ 2ْ "َ 1)ّ-‬ل ا‪ّ 1‬‬ ‫‪ُ%Y‬و َ‬ ‫ا‪ْ &ْ LْT 1‬‬ ‫ ‪:‬‬ ‫‪َ ُ R‬آ ْ ْ ْ ُ‬ ‫ل ا‪ ُ&%^ 1‬زْ "َ عْ ا ‪ َ9 ,‬دِي ا‪ ِ- َ"5ْ 6‬ا` ْ*‪ْ ْ%‬‬ ‫‪ َ&@َ21 ْ-‬تْ وْ ّ‬

‫ ‪:‬‬ ‫ل ا‪ ُ&%^ 1‬زْ "َ عْ ﭬ ‪َ ْ:‬آ ْ ْ ْ ُ‬ ‫‪ َ&@َ21 ْ-‬تْ وْ ّ‬

‫‪x = v×t‬‬

‫‪$ P‬ا‪(x : 1‬‬ ‫)ا‪ , t : LْT 1‬ا‪, v : ?%ّ 1‬ا‪ّ 1‬‬ ‫‪ ْ.Yُ #ِ ُ ْ y‬ﯕ ع ا َ ْ ‪.ْ. َ َ-‬‬ ‫‪ َY ْ ُ ْ y‬ذ ا ‪ ُ E‬زْ ‪ َ8‬عْ ﭬ‪ُ G#ِ& ْL22‬ه َ َ ْ‪ْ #‬‬ ‫‪ َK‬دِي ْ= ْ‬ ‫‪ U‬ا ‪.+‬‬ ‫ َ آَ‪ ْ +‬ﯖَ د ة ْ ْ‬ ‫ ا ِ! ْ‪َ 1‬ة ‪ َ8‬عْ ا َ‬ ‫هَ دْ ا ْ‪ِ +َ ْ 1‬ه َ‬ ‫ ّ ْه ‪)َ/‬آ ْ ‪)ْ <ْ%‬ة‪.‬‬ ‫?ِ ْﯖ دّة " ْ ْ‬ ‫‪َ%R‬آ َ ِ‬ ‫ي َ‬ ‫ْ ‪6 Vْ ّ1‬ور ‪ #-‬أ ‪0‬‬‫ ْ ْ‪ ْ 2‬هَ دَا ْ* ً ْ ِ ‪.ْZ*+‬‬ ‫‪َ% ْ ِ 1 ْ.R‬ة َ دِي ْ ْ‬ ‫‪ (ْRa‬ا ْ&‪ َ* َ2‬دَا‪ َ-‬وَا ْ‬ ‫‪َ ّ1 َD َ 1 = ْ? ُ ِP ْ َ 5‬آ ْ ْ‪ َB َHV‬ﯕ)َة‪.‬‬ ‫ا‪َ% ْ ِ 1‬ة ه أّ ُ‪ 6‬أو ْ‪ َH ْ َ ِ<-ْ $ ْ T‬و ‪ْ َJ ، َ Cَ1 ِK‬‬

‫ا‪b^ 1‬الْ ُه َ دِ* َ ‪ِ َ ِ ،‬ه َ ا ‪ 9‬ﯕ)َة ؟‬ ‫ت " ْ اعْ ‪:‬‬ ‫ ‪%َ 1‬آَ ْ‪)ْ <ِ %‬ة ِ "@ َ‬ ‫ ‪.َ ّ1‬ي ْ ‪ْ.‬ر ه ‪. 4 >ْ -‬‬ ‫أ ّولْ عْ ه " *َ)آ ِ َ دْ وْ آَ‪ -%َ2 ْ- " ْ) ْ <ْ %‬ا‪ " = ْ> 1‬ا *)آ ا ‪) <%‬ة ‪ E%ْ5‬م" َه‪ِ.‬ي ِه َ‬ ‫‪َ a‬آ ْ ‪ -ْ/ 0 1 dْH‬بْ ا‪.LْT 1‬‬ ‫ د ‪َ% ْ1‬آ ا ‪ َ1)ّ-‬آَ ‪ ْ.*+‬أوْ ّ‬ ‫‪ 4‬آ ‪ َ" dُH‬ﯖ ‪ 1‬آَ‪َ) %‬ا‪.( G % ) 5‬‬ ‫ل آَ ‪ َ" ْ.*+‬ﯖ ‪ 1‬آَ‪) -ْF%‬ي ) ‪ -%‬ر‪ ( 1‬و* َ‬ ‫إَ‬ ‫ا‪ْ َ 1‬ع ا‪ 91‬ه ا‪% 1‬آ " ا ْ ْ‪ َ$%‬وْدَة " ‪ -%21 -‬ا‪" = > 1‬ا *)َآ ا ُ‪ِ %‬و َ "‪.‬‬ ‫‪%َ R‬آَ ْ‪&ُ5 َ C‬نْ(‪.‬‬ ‫‪ْ َ 1‬ع ا‪ h1 91‬ه ا *)آ ا ‪) <%‬ة ْ‪&5 C‬ن ) َو‪ ّJ‬آ (ْ'ْ ‪ َ& 6ُ ّg-‬آ ْ َ شْ ‪َ ِK‬‬ ‫دا‪ -‬دي ْ ْ ّ ‪g-‬وّل عْ ‪ 01‬هُ " *َ)آ ِ َ دْ وْ آَ‪ -%َ2 ْ- " ْ) ْ <ْ %‬ا‪ " = ْ> 1‬ا *)آ ا ‪) <%‬ة ‪ E%ْ5‬م"‪.‬‬ ‫ ‪ َC‬ب ِ‪ َ C‬ا ‪ َ "ْ ْL?ْA‬آ‪ َK ِ +‬دْ‪ +C‬وْ آَ ْ‪.ْ #ْ B‬‬ ‫ ‪ْ S‬‬ ‫‪ّA‬ا َ آَ" ْ‪ْ ْ 2ْ $‬‬‫ـ أور‪ ْC#‬ـ ْ ّ‪ ْy ْ ْ #‬مْ ) =َ> ‪ ( zC‬أ = ُ‪ 0‬ا ّ‬ ‫? ْ‪.‬و ا ِ‪ َ/ -‬؟‬ ‫ دي "ﯖ ‪ ،َ 1ِ 1‬وَا‪ِ ْF‬آ شْ ِ‪ / -‬ا &ْ ْ ‪ ْ:‬؟ ?ْ@‪ ْF‬ا‪ْ ْLTْ ْ 1‬‬ ‫ دي ﯖ ل ‪ ، $* ْ!-ْ ْ% ِ ،ْO ِ1‬دِي " ْ ُ ْ&'ْ ْ‪.ْ.2ْ -‬‬

‫ا *)آ ا ‪) <%‬ة ‪ E%ْ5‬م ‪)َ* :‬آ ِ َ دْ وْ آَ‪ْ) ْ <ْ %‬‬ ‫ﯕ ِ آَ نْ َ" ْ ْ ‪% - ْO‬آ ا ّ *َ نْ‪.‬‬ ‫ل ‪.H‬‬ ‫‪َ%R‬آ

دْ َ وْ َآ ْ‪ ْ) ْ<%‬وْ ‪$‬‬ ‫ َ‬ ‫‪َ)/‬آ ا ّ *َ نْ ِه َ‬ ‫‪%ّ /‬بْ ْ !ُ فْ وَاشْ َ‬ ‫‪ ْ.R‬ا‪ َ ْ 1‬رْ ﯕ لْ ْ& َ‪ Q‬را ُ ?ْ@شْ & ْ ْ‬ ‫وا ْ‬ ‫ل " ‪."a‬‬ ‫‪ " ْj ِ 5‬وْ ‪$‬‬ ‫‪ َ I‬مْ "َ ع ـ أور ‪ #ْ-‬ـ " ْ‬ ‫ْ& ْ *ْ! فْ واشْ ّ ْ‬ ‫ ْ‪)ُ " َ )O‬جْ ‪ّ ِL‬ا ا ْ َ ْ ‪: " ْK‬‬ ‫‪ْ%Vُ 1 ْ.R‬جْ &َ ْ*‪. ْ? ْ4‬هُ‪ PQ O‬ا )&ْ‪ َ *.‬إ*‪،( ِ1 َP‬‬ ‫‪ ْ1 ْQ ْ l‬ا ْ‬ ‫َ" ْﯖ ‪ 1‬أ ّ‪ 6‬ﯕ ِ ْ‬ ‫‪ - LْTْ ْ" ْ>J‬شْ "ُ ‪ 4ْ5‬ا‪ْ% ّ1‬ض‪.‬‬ ‫ ْ ‪ ْK‬لْ ْ‬ ‫ ْ‬ ‫‪ َHVْ P‬ا‪ 91 ّ91‬وْ َ" ْ ْ‬ ‫ ‪%ْ/‬ة ْ&'ْ ا‪ْ 1‬‬ ‫و‪.ْ-‬ا َ" ْ ْ ْ ‪ْ ْ !َ&) ْm‬فْ( ْ‪ْ -‬‬ ‫‪ m‬ا‪ ْ' ِ- ّ1 T@21‬ا ّ&لْ وْ ا &ْ ‪.ْ:‬‬ ‫‪ HْVP‬تْ‪ ،‬دي *ْ‪ْ.H‬رْ *ْ َ‬ ‫و*‪ 2‬وْدْ ا‪ ْ'&ْ -%ْ/ ّ1‬ا‪ HVّP1‬ا‪ ، َ ّ 1‬وْ ‪َ ِ-‬أ ّ‪ ? 6‬رْف ا‪ ّP1‬ل " عْ ا‪ّْ 1‬‬

‫ َ كْ ا‪ْ% ّ1‬ضْ‪.،‬‬ ‫‪ ْ45‬دْ ْ‬ ‫‪َ%/‬ة آَ ْ‬ ‫ ْ‬ ‫ا‪ ْ ْ4 ِ !ُ 1‬دْ ا‪ُ َ-%ْ/ ّ1‬ه َ أّ ُ‪ْ 1ْ 6‬‬ ‫‪ ْL ِT ُ ً5 ُ>J‬ﯕ ِ ِ &َ آ ْ* َ

َ ﯕ ‪. َ5‬‬ ‫ ‪ ُV‬ا‪ ْLTْ 1‬وْ ُ‬ ‫ ْ‬ ‫ل ْ‪ْ ْ َ ِ<-‬‬ ‫ْ* ْ‪ُ. ْ? ِ 2‬و &ْ! ِ إ َ‬ ‫‪ U‬ا َ ِ‪."Kُ T‬‬ ‫ ُ‬ ‫ْ‬‫ ّ ْهَ " ا ّ"رْدُو َ " ‪ " = > 1 -‬ا ّ‬ ‫‪ ْ4R‬هَ دْ ا‪ َ" ِ !ُ 1‬عْ ا‪ ،ْLTْ ْ 1‬ﯕ ‪ َ ِ n َ-%ْ/ ْ ْ% ّ ْ ِ ِ1‬دِي ْ ْ‬ ‫َ شْ إ ْ‬‫دَا‪ َ َ-‬دِي ْ ‪ْ.‬رْ ُ ْ"‪ " َ-%ْ/‬ا ّ"رْدُو َ " ‪.ْ4 ِ>ْ 1 ْ-‬‬ ‫ْ ‪ َ )ْO‬ﯕ ِ ِ " ا ّ"رْدُو َ " ‪:‬‬ ‫ ْ‪ ْV ْ 5‬ا *َ َ ) ْ ْ‪ ْo‬ا‪ِ (1‬ه‪َ%‬ة(‪@ْ? ،‬شْ ؟‬ ‫‪ a‬هْ ْ‪ Qَ &ْ َP-‬دْرْدُو‪ِ َ-‬ه َ‬ ‫َ نْ ‪1‬ﯖ ‪ ِ ِ1‬أّ ُ‪ 6‬ا‪ َ" 1 َ 1‬عْ آُ‪َ %‬ة َ ْ *َ ْ ْ َا وْ ‪$‬‬‫‪.ْ4D‬‬ ‫وْ ْه َ ‪ ُ ُK‬ا‪ َ" ْL ِ ْ2 ْ $1‬عْ هَ دْ ا‪$%1‬ا ْ‬ ‫‪: ْ%B‬‬ ‫)ْ‪ّْ 1 ْ َ1‬‬‫? ْ ‪ْ.‬هَ ْ‪ ْV ْ 5‬ا ‪W‬‬ ‫ل ْ& َ‪ ِK Q‬دْرْدُو‪ ْV ْ 5ْ ْ'&ْ َ-‬ا ْ‪ َ &ُ $‬دِي ْ" ُ نْ ْ‬ ‫ َ وْ ‪$‬‬ ‫ل ْ" ْ ْ‪ُ ِK ِ H‬آ‪َ%‬ة ْ ‪ْ 1‬‬ ‫ﯕ ‪ِ Z ِ1‬إ َ‬

‫ ‪ َ 0P1 ْ َ?ْ%‬نْ‪.‬‬ ‫‪ ْ'&ْ ْ)<ْ B‬ا‪^ 1‬‬ ‫ ‪ْ.ّ 1 ْ َ?ْ%‬رْدُو‪ْ َ-‬‬ ‫> ْرُو آَ ْ ‪ ْL‬ا‪^ 1‬‬ ‫ل &َ ِ"ّْ ْ‪ ُ H‬شْ‪ْ "َ ،‬ﯖ لْ أ‪ْ "ْ 6ُ $‬‬ ‫ِإ َ‬ ‫ ‪ْ َ?ْ%‬آ‪َ% ِV‬ة‪.‬‬ ‫‪ ْ.R‬ا‪^ 1‬‬ ‫ َ &َ ْ‬ ‫‪ ْ.R‬ا‪ْ.ّ 1‬رْدُو‪ْ َT َ-‬‬ ‫ْ* ْ‪ْ َ& ِ 2‬‬ ‫‪ َ, ْ ُ ْK َ َ ِ ْ45‬لْ ‪:‬‬ ‫‪ْ ُ" =$ R‬‬ ‫? َ ْ‬ ‫‪ ُ2 ْ P‬ا‪َ% ُ 1‬ة هِ ‪ْ َ" ْ4Hْ 91 ْ- ْ%‬‬ ‫ل ‪$+-ْ َ 0 َ5‬افْ "َ عْ ا‪ْ.ّ 1‬رْدُو‪ َ-‬تْ ْ ْ‪ْ.H‬رُو ْ ْ‬ ‫دَا‪ِ َ-‬إ َ‬

‫‪ْ.Hْ *ْ َ& ْ.R‬رْ ْ* ِ ْ ‪. ُH‬‬ ‫‪ْ =$ R‬‬ ‫وْهَ دْ‪ْ ِK‬‬ ‫‪ ْH ْ 1 ْ- َ-%ِ/‬بْ‪.‬‬ ‫ ‪ َ 0P1 ْ َ?ْ%‬نْ ْ َ‪ْ 2‬دُو ا‪ْ ّْ1‬‬ ‫ ‪ْ.ّ 1 ْ َ?ْ%‬رْدُو‪ْ َ-‬آ ْ )ْ ْ&'ْ ا‪^ 1‬‬ ‫ل آَ ْ ‪ ْL‬ا‪^ 1‬‬ ‫وَ‬ ‫ ْ‪ ْV ْ 5‬ا *َ َ ‪.‬‬ ‫‪ a‬هْ ْ‪ Qَ &ْ َP-‬دْرْدُو‪ِ َ-‬ه َ‬ ‫هَ دْ‪@ْ? 0K‬شْ ا‪ َ" 1 َ 1‬عْ آُ‪َ %‬ة ‪َ ْ ْ َ *ْ َl‬ا وْ ‪$‬‬ ‫‪ْ.B‬مْ ‪ ُ ِ-‬مْ ْ ‪ َ-%ْ/ 1‬؟‬ ‫ َا ْ*‪ َ 01 ْp‬دِي ْ* ْ‬ ‫ْ !ُ ُ دَا‪ َ-‬آِ َ شْ ‪ ْ5‬وبْ ﯕ ‪ْ 1ْ ِ ِ1‬‬ ‫ث &ِ ‪ُ%‬و‪.‬‬ ‫ل ‪َ @n‬‬ ‫‪ َ 1ْ ْ.R‬دْر*َ ‪ ،‬ا‪ ^P1‬لْ دْ*َ ‪&ُ َ 1‬جْ وْ ‪$‬‬ ‫‪َ%K‬ى وَا ْ‬ ‫ْ&!َ= ﯕ ‪ْ 1‬‬ ‫‪ = ْ? َ ِ 2ْ P‬ا‪ ّP1‬لْ ‪.‬‬ ‫ل ْ‪ْ T‬‬ ‫>‪ِ َV‬إ َ‬ ‫‪a‬ةْ ْ‪ َ -‬لْ ‪ ِK‬ﯕ ْ‬ ‫‪ =ّ R‬وْ ّ‬ ‫‪ْ t‬‬ ‫ ْ‬ ‫‪َ J‬اهَ ْ&'ْ ْ‪ْ ْ 1‬‬ ‫ْ‬

‫ َ ‪.‬‬ ‫*"ُور َ ‪ْ. ْ -َ 01‬رْ ْ‬ ‫‪ َ R‬بْ ْ ْ‬ ‫? َ= ْ‬ ‫ل إ ْ* ْ ‪ْ PْV‬‬ ‫‪ُ+ ْ *ْ َ" ْ%J‬و وْ ‪$‬‬ ‫‪ْa‬‬ ‫‪ْ%P‬فْ َ‬ ‫ ْ وْ ا‪ّ 1‬‬ ‫? َ= ‪ْ ِK‬‬ ‫‪ْ%P‬فْ دْ*َ لْ ْ‪ َ 1‬دْر*َ ْ‬ ‫‪ t‬ا‪ّ 1‬‬ ‫ ْ‬ ‫َ" ْ ْ‬ ‫ َ ‪ َ ْ ْO ُ ِ1 ُD‬دْ ا‪ُ َ-%ْ/ ّ1‬ه َ ‪:‬‬ ‫ َا ْ*‪ َ 01 ْp‬دِي ْ ْ‬ ‫‪ َ> ِ J‬رْ‪ْ ْ1 ،‬‬ ‫َ ْ‬‫ ُآ)َة‬ ‫‪t‬‬ ‫ ْ‬ ‫ َ دْر َ ‪ َJ‬وْ*َ ْ&'ْ ْ‪ْ ْ 1‬‬ ‫ ‪ ) ْLTْ 1ْ ُV‬ا ُ " ة (‪.‬‬ ‫ ْ‬ ‫ َﯖ ‪ َ- َ5‬شْ ْ ْ‬

‫‪ ْ.R‬ا‪.ّ 1‬رْدُو‪ َ- َ-‬شْ ْ ْ ُ آْ‪: ْ%9‬‬ ‫ ُ وَا ْ‬ ‫ دي ْ ‪ْ ْ%‬‬

‫ ْ‪ُ%*.‬و ْ‪ َ -‬لْ ﯕ ‪ َ ، ِ1‬دي ْ‪&ُ, ْ%5‬ا‪َ% 1‬ة ) ْ* ْ‪&ُ$Qْ ْ"5ْ َ Cْ ِ 2‬هَ ( ْ&'ْ ْ‪.B َ5@ْV1‬‬ ‫‪ّ. ُ 1ْ ْ.R‬ة ‪.t1‬‬ ‫‪ ُ5 ُ 1ْ =$ R‬لْ ْ َا ْ‬ ‫‪ Qَ &ْ t‬ا‪.ّ 1‬رْدُو‪ْ َ-‬‬ ‫إذن ْ‪َ% ُ 1‬ة َ دِي ْ" ْ ْ‪ْ V‬‬ ‫ ‪.D,C ْd*ْ @ْV1ْ َV‬‬ ‫ دِي ْ ‪ َ2‬وْدُو ْ ْ‪ ْo‬ا‪ْ ْ 1 ْ- َ-%ْ/ ّ1‬‬ ‫‪ ُ>B‬هَ دْ ا‪ َ" n@91‬عْ ا‪ َ/ ّ1‬ربْ ‪:‬‬ ‫ل ‪ْ ْ َ D‬‬ ‫إَ‬ ‫ & ا ‪.

DA‬ة ‪.t3‬‬ ‫‪$ l‬ا‪.

CA 1‬ة ‪ t2‬وْ أ‪ً% ِJ‬ا ّ‬ ‫‪ّ P‬ا‪.

BA 1‬ة ‪ t1‬وْ ّ‬ ‫‪ َ-ْ%U‬تْ ا‪ّ 1‬‬ ‫ َ دي ْﯖ ‪ 6ُ $g- 1‬ا‪َ% ُ 1‬ة ْ‬ ‫وْ ْ&'ْ ْ‪ ْ.2ْ -‬؟؟؟‬ ‫ &ّا وْ ْ ُ "ّة‪.‬‬ ‫? َ= ا‪ّْ ْ' ِ- 01 َT@َ21‬‬ ‫> َ ْ ْ‪ ُV ْ H‬ا ْ‪ َ -‬لْ ﯕ‪ْ ِV‬‬ ‫‪ْ J‬‬ ‫وْ ْ&'ْ ْ‪ْ ْ.2ْ -‬‬ ‫‪ َ $ْ َ5 َ 1‬رْ ‪:‬‬ ‫هَ ‪Z‬شْ ْ‬

‫‪$ P‬ا‪ 1‬وْ ا‪$. ُ 1‬ة‪.‬‬ ‫?‪َ.‬ادْ ‪ & ، َ ِH1 01‬د*‪ َH ْ u‬وْ ‪ ْ' ِ- َT@َ? ِK‬ا‪ّْ 1‬‬ ‫‪ْ : ْ َ Hّ Hّ R‬‬ ‫ل ْ‬ ‫إَ‬

‫ ‪ ُ21 ْ ُ9‬مْ‪.‬‬ ‫‪ َ" َ ْ"I‬عْ ا‪ $ 1‬سْ ِ‪ْ Vْ ْ "َ ّ1‬‬ ‫ْه َ َ دِي ْ"‪ َV‬نْ ‪ ُ ِ1‬مْ ا ْ‬ ‫?‪َ.‬ادْ‪.‬‬ ‫‪$+-ْ t‬افْ "َ عْ ا‪ْ :‬‬ ‫ ْ‬ ‫ْه ْ ُ مْ ا‪ُ ْ. ِR َ 1‬ه َ *ْ ‪ َH‬وْ ا ‪ 9‬ﯕ)َة ُ ْ‬ ‫‪ َ- ْw5‬شْ ْ ِ‪ ُ ِ1 ْ' ّْV‬مْ ا‪: َT@َ21‬‬ ‫‪ّْ ْ.R‬‬ ‫ َ دِي ْ ِ‪ ْ.*+‬وَا ْ‬

‫‪ْ) ّْ 1‬آُ&مْ [ِ ‪!! &ُ,‬‬ ‫ َ بْ ُه َ َه‪َ.‬اكْ‪ْ َ ،‬‬ ‫‪ُ.Vْ D‬و ‪ َ- ْo*%ِ ْ َ ِ 1 َ 1‬شْ ْ"!ُ ُ وَاشْ ‪ْ 1‬‬ ‫ِإ َو ْ‬ ‫ َ دِي "ْ ‪ َH‬وْ أ‪: 6ُ $‬‬

‫‪0,1 0,2 0,3 0,5 0,7‬‬ ‫≃‬ ‫≃‬ ‫≃‬ ‫≃‬ ‫‪= 0,02. m‬‬ ‫‪s×s‬‬ ‫‪4‬‬ ‫‪9 16 25 36‬‬ ‫ هَ دِي ‪:‬‬ ‫> َ ْ ‪ َH‬و ِه َ‬ ‫‪ْ J‬‬ ‫ْ* ْ‪ ِ 2‬أ‪ْ ّ1 َT@َ21 6ُ $‬‬ ‫‪BA‬‬ ‫‪CA‬‬ ‫‪DA‬‬ ‫=‬ ‫=‬ ‫‪=k‬‬ ‫) ‪(t1 × t1 ) (t 2 × t 2 ) (t 3 × t 3‬‬

‫هَ دْ ‪ َT@َ21‬آ ْ‪: ِ 2‬‬ ‫ ْ َ هَ ?ْ = ُ )ْ ّ \ْ " عْ ‪ّ. ُ 1‬ة ‪ t1‬آ ْ‪ B َ ِP2‬ﯕ)َة‪.‬‬ ‫‪$ l‬ا‪ BA 1‬وْ ْ‪ْ T‬‬ ‫‪ّ َ P‬‬ ‫ل ْ‪ْ Vْ T‬‬ ‫أّ ُ‪ 6‬إ َ‬ ‫ ْ َ هَ ?ْ = ُ )ْ ّ \ْ " عْ ‪ّ. ُ 1‬ة ‪ t2‬آ ْ‪ B َ ِP2‬ﯕ)َة‪.‬‬ ‫‪$ l‬ا‪ CA 1‬وْ ْ‪ْ T‬‬ ‫‪ّ َ P‬‬ ‫ل ْ‪ْ Vْ T‬‬ ‫أّ ُ‪ 6‬إ َ‬ ‫ ْ َ هَ ?ْ = ُ )ْ ّ \ْ " عْ ‪ّ. ُ 1‬ة ‪ t3‬آ ْ‪ B َ ِP2‬ﯕ)َة‪.‬‬ ‫‪$ l‬ا‪ DA 1‬وْ ْ‪ْ T‬‬ ‫‪ّ َ P‬‬ ‫ل ْ‪ْ Vْ T‬‬ ‫أّ ُ‪ 6‬إ َ‬ ‫ ‪ َ 0‬هَ ‪.k‬‬ ‫ ِ‪ْ ّ1‬‬ ‫َه‪ ْZ*ِ.‬ا ‪ ّ9‬ﯕ)َة ِه َ‬ ‫ل ا ‪ ّ9‬ﯕ)َة ‪.k‬‬ ‫ ‪َ%‬آ آُ !ِ آ ْ‪"ّ ْ %‬لْ إ ّ‬ ‫> َ ْ ْ ْ ُ &ْ'ْ هَ دْ ‪ َT@َ21‬هُ أ ّ‪ َ ْ 6‬دْ ا‪َ 1‬‬ ‫‪ْ J‬‬ ‫‪ْ ّ1‬‬

‫دَا‪ َ َ-‬دِي ْ َ وْ‪ ُ ْ ْ ْ 1‬أش َ" ْ ْ‪َ ِ 2‬ه‪ َ" ْ\ ّ ْ) ُ ْ ْZ*ِ.‬عْ ‪ّ. ُ 1‬ة ‪:‬‬ ‫@ ُ َ) ّ \ْ ‪ْ%2ْ 1‬ضْ دْ*َ ‪ ُD 1‬جْ &ِ ‪ُ%‬و‪.‬‬ ‫ ‪ ُV‬ا ِ ‪ َ/ َ-‬دْ*َ ‪ً 9َ& ، 1‬‬ ‫ ْ‬ ‫‪ ْ\ ّ ْ) ْ ْL ِ- ِK َ P‬وْ ْ‪ْ ْ َ ِ<-‬‬ ‫ل ْ‪ْ Vْ T‬‬ ‫دَا‪ َ-‬إ َ‬ ‫ل ‪َ ْ% ِ& 4‬آ ِري‪.‬‬ ‫ ‪ ْ\ ّ ْ) ُ ْ% ِ& 4‬وْ ّ‬ ‫? ْ ‪ْ.‬آُ مْ ْ& َ‪ ِ Vْ 1 Q‬دِي "ْﯖ ‪َ 1ِ ُ1‬‬ ‫‪ َ K‬لْ " ْ‪ َ/ َ- ِ َ ِP2‬؟ إلَ آَ نْ ْ‬ ‫ )ْفْ‪.‬‬ ‫ )ْفْ ْ‪ّ Q‬‬ ‫‪ّْ ُ-ْ%Y‬‬ ‫ ‪ َR َ ِ 1 ُV‬آ ْ ْ‬ ‫ َ‬ ‫ل ْ‪َ َ َ ِ<-‬‬ ‫ َ بْ ?ْ ُ َ ‪ 6ُ ّg-‬إ َ‬ ‫‪ َ 5‬بْ ‪ْ 1‬‬ ‫ ‪ ْV‬هَ دْ ‪ َR َ ِ 1‬؟ ْ‬ ‫‪ْR‬‬ ‫آِ َ شْ ْ‬ ‫ رْ ْ‪. َ2-‬‬ ‫‪ْ%P‬فْ َ" ْ ْ‪ ُD َ ِP2‬جْ ْ ‪ ُ/‬جْ ِ‪ِ ّ1‬ه َ‬ ‫‪ْ%l‬فْ ّ‬ ‫‪ّ َ -ْ ْ%U‬‬ ‫‪ْ 4‬‬ ‫‪ْ%l‬فْ ِ ْ‪ ُD 6‬جْ &ِ ُ‪ِ %‬و* َ‬ ‫‪ْ 4‬‬ ‫وْ ْه َ ?ْ ‪ ،ْQ-ّْ%&ُ َ ْ.‬إذنْ ُآ ّ‬ ‫? ْ ‪ َ ْ.‬ش آِ ش ْ ‪ُ%*ِ.‬و ْ ‪.ْ)%ْ ِ Qْ ْ)%ِ ُV‬‬ ‫‪َ+ ّVJ‬ا؟ " عْ &ِ ‪ْ َ& h ِR ْQ-ّْ%&ُ ْ%‬‬ ‫ل ْ‬ ‫وَ‪ ْ' ِ 1‬رْ ْ‪ َ" َ2-‬عْ ‪Z‬شْ َ‪ َl َP-‬وْ ّ‬ ‫‪. ُ ْ B‬‬ ‫]َ ‪َ ،‬آ ْ ْ ْ ‪ ُV‬هَ دِ*‪ َ- ْ\ ّ ْ) ُ َ َ* ْ ْZ‬ش ْ ْ‬‫^)ُو َ ْ‪ْ ْ ْ Q‬‬ ‫وْدَا‪ َ-‬أُو ْ‪ْ ْ َ َ/ ِK ُV ْ ْ ْ َ ِ<-ْ $ ْ T‬‬ ‫‪.ْ) ْ O‬‬ ‫‪ َ B‬اِرزْ&ِ ‪َ ْQ‬‬ ‫?‪ َP‬هَ ا‪ُ 1‬‬ ‫‪َ%J‬ى ْ‬ ‫ ْ َ ا ْ‬ ‫‪ ْ'&ْ َ U‬ا ْ] ْ َ" َ ‪ ْh ِR ،‬رَا‪ َ ْF‬دِي ْ !ُ ُ ّْ‬ ‫ ْ َ َ ْ‬ ‫?ْ‪ ُ H‬أ‪ 6ُ $‬هَ دِي ّْ‬ ‫ل ُ )ْ ّ \ْ "َ عْ &ْ ْ ‪.ْ:‬‬ ‫‪ َ-/‬ب ِ‪ َ/ -‬ا &ْ ‪ ْ:‬وْ ّ‬ ‫‪ّ P‬ا‪ َ1‬آَ ْ< ْ ‪ْ 0 ْ1 ْ%‬‬ ‫دَاآ!ِ ?ْ@شْ ْ ْ‪ْ.H‬رُو ْﯖ ‪ 6ُ ّgِ- ُ1‬ا‪ّ 1‬‬ ‫ ‪ َ 0‬هَ ا ‪ 9‬ﯕ)َة ‪.k‬‬ ‫ ِ‪ْ ّ1‬‬ ‫‪ َ-/‬بْ ِه َ‬ ‫هَ دِ*‪ْ 0 ْ1 ْZ‬‬ ‫‪َ"1‬ة ْ‪ َ -‬لْ ﯕ‪: ُV ْ ْ ْ َ ِ1 ْ' ْ ْ *ْ ، َ ِV‬‬ ‫‪َ%Y‬ة ‪ِ َ ْ4 ْ !ْ-‬‬ ‫ل ْ‪ ُV ْ ْ ْ َ ِ<-‬دَا‪ َ-‬هَ دْ ‪ْ ْ 1‬‬ ‫إَ‬ ‫‪$ P‬ا‪ 1‬‬ ‫) ا‪ * LْT 1‬ا‪ -ْ/ 0 1 *(LْT 1‬ب = ا‪ّ 1‬‬ ‫ ‪:‬‬ ‫ْ ‪ َ&@َ21‬تْ "َ عْ ﭬ ‪َ ْ:‬آ ْ ْ ْ ُ‬‫‪x = k × t2‬‬

‫‪$ P‬ا‪(x : 1‬‬ ‫)‪, t × t --> t2‬ا‪ّ 1‬‬ ‫ ‪ ّ1 ،‬آ ْ ْ ْ‪.ّ V‬لْ ُه َ ا‪.َ 2َ 1‬دْ ‪.k‬‬ ‫ ِه َ‬ ‫‪ِ m‬ه َ‬ ‫‪َ"1‬ة آَ " ْ‪َ V‬‬ ‫* ُ"وِر َ "َ عْ ‪ َ 1‬دِْر*َ ‪ َH ْ "َ ،‬وْ ‪ِ َ, 6ُ $gِ-‬‬ ‫‪ْ &ُ ْ" ْ 5ْ َ ِD 4‬‬ ‫ِو* َ‬ ‫‪ َ R‬بْ ُ )ْ ّ \ْ "َ عْ ُ "ّة‪.‬‬ ‫ &ّا ?ْ = ْ‬ ‫ل ْ ْ‪ ِK Qَ &ْ َD َR ِK َ ,‬دْرْدُو َ ‪َ ،‬آ ْ ْ< ّ‪ %‬ا ّ‬ ‫‪َ%Vْ 2ِ 1‬ة ْ&'ْ هَ دْ ‪ُ ِK‬آ ّ ُه َ أّ ُ‪ 6‬إ َ‬ ‫> َ ْ ْ‪ َ*?ْ ُ ْ%2‬ل َآ ْ ْ< ّ‪.%‬‬ ‫‪ْ J‬‬ ‫‪%َ R‬آَ

َ دْ َ وْ َآ ْ‪ ْ4 ِ !ُ 1 ،ْ) ّ <ْ %‬دَا‪ُ َ-‬ه َ أّ ّ َ‬ ‫ َ‬ ‫ َ‪%‬آَ ْ‪"ّ Q‬رْدُو َ ِه َ‬ ‫ْ* ْ‪ ِ 2‬أ‪َ 1 6ُ $‬‬ ‫)ْ‪. َ1‬‬‫‪ُ َ-%ِ /‬هَ آِ َ ش َ دِي ْ ْ‪ُ%Vْ 2‬و ا ‪W‬‬ ‫)ْ‪ َ1‬وْ ا ُ "ّة‪ ،‬وَ‪ َ ْ ْ4ِ !ُ 1 ْ' ِ 1‬دْ ّ" ْ‬‫> َ ْ ‪ َH‬وْ ‪ ْ' ِ- ّ1 َT@َ21‬ا ّ‬ ‫‪ْ J‬‬ ‫دَاآ!ّ ?ْ@شْ ْ‬ ‫‪!!4‬‬ ‫> َ ‪َ ِK‬ردَارْ وَا‪َ ِT‬‬ ‫‪ْ J‬‬ ‫ ‪ْ َ?ْ%‬‬ ‫ &ّا ‪ُ% ْ ِ ْ-‬و وْ ُ "ّة ‪َ ْ-‬ﯖ َ ‪ ،‬أ&‪ $‬ا‪^ 1‬‬ ‫ ‪ ْ.‬دْرُوآَ َ" ْ ْ‪ُ%Vْ 2ْ ْ ُ ْ%2‬و هِ ‪ ْ%‬ا ّ‬ ‫ل ‪ْ 1 ، َ* َ2&ْ ُ (ْ 1‬‬ ‫نإَ‬ ‫‪$:‬‬ ‫*‪! َE‬‬ ‫ ‪ َ" َ?ْ%‬عْ ْ‬ ‫?‪َ%‬ة ‪ َ-‬شْ ْ* ْ‪^ ْ%Vْ 2‬‬ ‫‪َ% ْ ِ 1 ْ.R‬ة وَا ْ‬ ‫? ِ ْ‪ 6‬وَا ْ‬ ‫‪ْ ْLR‬‬ ‫ل وَا‪ Oّ ّ2ْ ْ 1 ، ُ1‬ﯕ ِ ِ ‪ْ َl‬‬ ‫> َ َ‪َ%1‬ادَارْ َو َ‬ ‫‪ْ J‬‬ ‫‪ْ َ& a‬‬ ‫‪َa‬‬ ‫َ‬

‫? ْ"َ ِ ‪:‬‬ ‫ا‪َ% ْ ِ 1‬ة "َ عْ ﯕ ‪ َD ِ ِ1‬تْ ْ&'ْ ا‪.ّ 1‬رْدُو‪َ َ-‬‬

‫‪%ّ /‬بْ ‪:‬‬ ‫هَ آِ َ شْ ‪ َ5‬وْبْ ‪ َ-‬شْ َ دِي ْ* ْ‬ ‫‪ ْVl‬وْ" ْ‪%ُ 1 ِ H‬ة ؟‬ ‫ ْ‪ َ 1 ِ H‬دْ ِر*َ ْ& َ‪ّ Q‬‬ ‫‪ َ " َ*ْ B‬دْر*َ ‪ ،‬وْ‪ّ 1‬‬ ‫‪ْ)$ْ ْV ْ ْ َ*ْ B‬ضْ "َ عْ ‪ْ 1‬‬ ‫‪ْ 1 ْ.R‬‬ ‫ ْ وْ دْرْ"ِ ِ َ وَا ْ‬ ‫‪ّ ْ.R‬‬ ‫ل ْ‪ 0PVْ T‬وَا ْ‬ ‫ﯕ ‪ ْZ ِ1‬إ َ‬ ‫*)َآ ْﯖ دّة‪.‬‬ ‫‪َ ْ ْVl‬‬ ‫‪ّ l‬ا‪ " َ* ْB ْ" 1‬عْ ّ‬ ‫‪ْ%Y‬بْ ّ‬ ‫*)َآ َ دْ َ وْ آ ْ‪ ،)ّ <ْ %‬وْ َ دِي ْ" ْ‬ ‫‪ّ Qَ &ْ t‬درْدُو‪ َ " َ-‬دْر*َ ْ َ‬ ‫‪َ% ُ 1‬ة َ دِي ْ" ْ ْ‪ْ V‬‬ ‫ ‪ْ 0‬هَ ‪َ" ْ َ َ -ِ ْ%2ْ ْ-‬أ ا ُ‪&ُ9,‬رْ ا `ا ِ ‪.‬‬ ‫ َ‪ ْK,ْ [ ْ V‬دْ َ ْ ]َ ‪ ،‬هَ دْ ‪ْ *ْ َV ِ21‬‬ ‫*)َآ ْﯖ دّة ْ‪َ -‬‬ ‫‪َ ْ ْVl‬‬ ‫‪ّ l‬ا‪ " 1‬عْ ّ‬ ‫‪ْ%Y‬بْ ‪% 1‬ة ّ‬ ‫ َ دِي ْ" ْ‬ ‫‪ 9ِ& ْ ِP2ْ ْ ، َ ِ&ُ I‬لْ ‪:‬‬ ‫ ُ شْ ـ َ ْ "َأ ْ‬ ‫‪ْU‬‬ ‫هَ دْ ْ& ْ‪ْ.V‬أ ا‪ ُ>Hُ 1‬رْ ا‪I1‬ا"ّ ْ* ْ ْ 'ْ ْﯖ ‪ ُ1‬ا ‪ّ.1 ْ- 6 ِ1‬ار‪ َD‬ـ وْ&َ ْ‬ ‫‪. َ ْ 5‬‬ ‫‪ْ @ْV ْ ْ َa Vُ l‬‬ ‫‪ّ m‬‬ ‫‪ َ ِ &ْ .ّ J‬ش آ ْ ْ‪َ V‬‬ ‫‪.ّ R‬كْ &َ ْ‬ ‫ ّ رَة ْ‪ َ -‬ل ‪@ :‬م‪ْ َ& ،‬‬ ‫ل ْ‬ ‫‪ 4‬وْ ّ‬ ‫‪َ - ُ& ّl ْ.R‬‬ ‫ل ‪ْ ْ%"ْ ِ D‬آ ْ ْ َا ْ‬ ‫َ&َ‪ِ @9‬إ َ‬ ‫? َ ‪ ْh ِR‬دَا ْ ْ‪ ُ ُ 1 َ 2‬رْ‪.‬‬ ‫‪ْ َ" َ 1ِ ُ B‬‬ ‫‪ ْ َa m‬هِ ‪ َ&ْ%‬آ ْ"‪ْ 1 ْZ ِ1 ْu ْ َV‬‬ ‫‪ Vُ l‬آ ْ ْ‪َ V‬‬ ‫‪ َ &ْ .ّ B‬وْ آ ْ‪ّ ، َ - ْ.*+‬‬ ‫‪َ h ِR‬آ ْ ْ‬ ‫‪ ُ" ُ 1 6ُ $: َ ِ&ُ I‬رْ ‪. ِ َl‬‬ ‫ َ‪ْ ْ V‬‬ ‫‪ َ ِV ُ l‬دِي ْ" ْ‪ َ =َHV‬دْ*َ ْ‪َ -‬‬ ‫‪ ُ" ُ 1 ِ ِ l‬رْ‪^ ،‬‬ ‫‪ْ َ ِT 1 ْ.R‬‬ ‫وَا ْ‬ ‫‪ ْ B‬دّارْ‪.‬‬ ‫‪ ، َ ِ&ُ I‬إ َو ُ ‪ْ "ْ ُU‬‬ ‫‪ َ 1ِ ُ B‬دْ*َ ْ‪ ، َ 1‬هَ‪I‬ا ُه َ َ ْ "َأ ْ‬ ‫‪ ُ ُ 1 ِ P‬رْ‪ ،‬آ ْ ‪ْ ْ -ْ ْm ِ2‬‬ ‫‪ْ "L‬‬ ‫ ‪َ ْ ْ%‬‬ ‫*‪. َE‬‬ ‫ ‪ " َ?ْ%‬عْ ا ّ ْ‬ ‫*‪ َ-‬بْ ا‪^ 1‬‬ ‫‪ َB m‬ﯕ)َة‪ ،‬إذنْ َ دِي ْ ْ‪ْ.H‬رُو ْ ْ‪ْ ْ ُ ْ%2‬‬ ‫ ‪َ َ?ْ%‬آ ْ ْ‪َ V‬‬ ‫* َ)آَ ْﯖ دّة ا‪ّ 1‬‬ ‫‪َ% ُ 1 ُ2D‬ة دْ*َ ‪ َ -ِ ، َ 1‬أّ ُ‪َ ْQ 6‬‬ ‫‪ْ ْ% ْ ،ْO ِ ُ 1‬‬

‫ ْ ‪ َ-‬شْ ْ ْ ُ آْ‪: ْ%9‬‬ ‫‪ ْ"/‬ا ّ‬ ‫ ‪ \َ ْ َ,‬وَا ْ‬ ‫‪ ْ.R‬ا ّ"رْدُو َ ‪ْ H‬‬ ‫ ُ وَا ْ‬ ‫ دي ْ ‪ْ ْ%‬‬

‫‪. ْVl‬‬ ‫‪$ P‬ا‪ َ" 1‬عْ ّ‬ ‫‪ َ 1 ُ&ْ.B‬ﯕ َ ِ ‪%َ ْ%‬آ ‪ْ 1‬ﯖ د‪$‬ة‪ّ ِ 2ْ *ْ ،‬‬ ‫ْ َ دْ ا‪ َ َ-%ْ/ ّ1‬دِي ْ ْ‬ ‫ ‪ َ ْ- ُV‬ﯕ َ ‪$. ُ 1‬ة ‪. tu3‬‬ ‫ ْ‬ ‫‪َ.Vْ ْ A ْ45‬اوْ ْ ْ‬ ‫ْ‪ َ -‬ل ﯕ‪ َ ، V‬دِي ْ ‪َ% ُ 1 H‬ة ْ&'ْ ‪ D‬وْ هِ ‪ْ ُ" ْ%‬‬ ‫?‪َ.‬ة " عْ ‪%َ 1‬آ ‪ْ 1‬ﯖ دَة ـ ‪:‬‬ ‫‪ِ H ْ- ُ&ْ.B‬‬ ‫? ْ ‪ َ ْ.‬دْرُوآ ‪ َV2ْ 1‬رْ " عْ ‪ّ l‬ا‪ d 1‬وْ ‪ َV2ْ 1‬رْ " عْ ‪َ 1‬ﯖ َ ‪ َ ،tu3‬دِي ْ ْ‬ ‫وْ ‪ َ -‬أ‪ْ 6ُ $‬‬ ‫‪x = v×t‬‬

‫‪$ P‬ا‪(x : 1‬‬ ‫)ا‪ , t : LْT 1‬ا‪, v : ?%ّ 1‬ا‪ّ 1‬‬ ‫ِ ّ َآ ْ ْ‪ +َ ْ[ ْ َ #ِU-‬دْ‪: َ َC‬‬ ‫‪d = v3 × tu 3‬‬ ‫‪: َ - ُ&ْ.B‬‬ ‫ ‪ُ%‬و ْ‪َ.2ْ -‬ا آِ ش َ دِي ْ ْ‬ ‫‪ْ ْ َ ْ>J‬‬ ‫?‪َ.‬ة‪ْ ،‬‬ ‫‪ َ -ْ ُ&ْ.B‬دْ ‪ِ H1‬‬ ‫وَ‪ْ ْ َ& ْ4Vْ T ْ' ِ 1‬‬ ‫‪ُ%Y‬و هِ ‪ َV ِ21 = ْ? ْ%‬تْ ‪ ْO ُ ِ1 ْ' ِD ْ &ْ ِ1‬دْرُوآَ ‪.‬‬ ‫‪ ْ%Vْ /‬وَا‪ َ ، َ- Hُ 1‬دِي ْ ْ ْ‬ ‫ي " عْ ‪ َV ِ21‬تْ "َ عْ ا‪َ 1‬‬ ‫‪َ ِK‬‬ ‫ ‪ْ ْ%‬‬ ‫> ِ ْ ّ‬ ‫‪ْ J‬‬ ‫ْ‬ ‫‪ ُ- َ ْ ْ ُ R‬ـ " ‪ d B‬أ? ل ا‪ 1‬ب ـ أ‪: 6ُ $‬‬ ‫‪ c‬ا ْ َ ء ا ُ)ا ُآ?ِ ا` ْ*‪ْ ْ%‬‬ ‫َ" ْﯖ لْ إ ْ ُ‬ ‫‪٠٠٠‬وا‪:‬ر‪ 2-‬ا‪.?:‬اد ا ‪ %‬ه ا‪ V 1‬ا‪:‬ول & ‪ 9 1‬آ ‪ V‬ا‪% 1 h1 91‬ا‪.Q-‬‬ ‫و‪%U‬ب ا‪:‬ول ا‪%1‬ا‪ Q-‬آ‪%Y‬ب ا‪ 91‬ا‪.h1 91‬‬ ‫و& = ‪%U‬ب ا‪:‬ول ا‪%1‬ا‪ Q-‬و‪ = ? O T‬ا‪%J 91‬ج ا‪ ،h1 91‬أو ? = ا‪%J h1 91‬ج ا‪. 91‬‬ ‫و& = ‪%U‬ب ا‪ 91‬ا‪ h1 91‬و‪ = ? O T‬ا‪:‬ول ‪%J‬ج ا‪%1‬ا‪%B* H&]O *g ،Q-‬ج ‪I -‬ا ا‪ '& 4 21‬ا‪ n@91‬ا‪.

T V1‬‬

‫‪َ%Y‬ة ‪: ْm ِTْ. ّ1 ْ-‬‬ ‫ ‪ ْ%‬هَ دْ ‪ْ ْ 1‬‬ ‫دَا‪ َ َ-‬دِي ْ ْ ّ‬ ‫‪٠٠٠‬وا‪:‬ر‪ 2-‬ا‪.?:‬اد ا‪ V 1‬ه ا‪ V 1‬ا‪:‬ول & ‪ 9 1‬آ ‪ V‬ا‪% 1 h1 91‬ا‪.Q-‬‬ ‫ ‪: d ْFْ 0‬‬ ‫ ‪ c ْFْ 0‬وْر‪$‬ا ْ‪ْ ْ ْQ-‬‬ ‫ ‪ b ْFْ 0‬هُ ْ ْ‪ْ",ْ ْo‬رْ ‪ْ ْ L1 n ْ' ِ- ّ1‬‬ ‫ ‪ a ْFْ 0‬وْ"‪ْ ْ ِ $‬‬ ‫ ‪ُ َV‬ه َ ‪ْ",ْ ِ1‬رْ ‪ْ ّ 1ْ ْ' ِ-‬لْ ْ ْ‬ ‫?‪َ.‬ادْ ا‪ِ َ ُ 1‬‬ ‫ا‪ْ :‬‬ ‫‪a c‬‬ ‫=‬ ‫‪b d‬‬

‫و‪%U‬ب ا‪:‬ول ا‪%1‬ا‪ Q-‬آ‪%Y‬ب ا‪ 91‬ا‪.h1 91‬‬ ‫‪: L1 9 ِ $" ِ -ْ ْ%U‬‬ ‫ل ْ‬ ‫‪$% ْ ْ 1ْ ْ ّ 1ْ ِ -ْ ْ%U‬ا ْ‪َ َ -ْ ْQ-‬‬ ‫ل ْ‬ ‫َ" ْ ْ‪ ِ 2‬أ‪ 6ُ $‬إ َ‬

‫‪a×d = c×b‬‬

‫و& = ‪%U‬ب ا‪:‬ول ا‪%1‬ا‪ Q-‬و‪ = ? O T‬ا‪%J 91‬ج ا‪ ،h1 91‬أو ? = ا‪%J h1 91‬ج ا‪: . 91‬‬ ‫‪a×d‬‬ ‫‪a×d‬‬ ‫‪=c‬‬ ‫‪=b‬‬ ‫‪b‬‬ ‫‪c‬‬ ‫و& = ‪%U‬ب ا‪ 91‬ا‪ h1 91‬و‪ = ? O T‬ا‪:‬ول ‪%J‬ج ا‪%1‬ا‪%B* H&]O *g ،Q-‬ج ‪I -‬ا ا‪ '& 4 21‬ا‪ n@91‬ا‪: .

T V1‬‬ ‫‪b× c‬‬ ‫‪a‬‬

‫‪b×c‬‬ ‫‪d‬‬

‫=‪d‬‬

‫=‪a‬‬

‫‪: ْ49َ 1 ْ.R‬‬ ‫‪ُ.B‬و وَا ْ‬ ‫‪$+-ْ ْO ُ - ُ&ْ.B‬افْ ْ ‪ َ& $‬تْ ا‪ ،Oُ - H ِ2 ْ َ& @ْ- .ْ 1 ^>1‬أ‪ْ َ D‬‬ ‫هَ دْ ‪ َV ِ21‬تْ َ" ْ ْ‬ ‫ ‪ ْ4‬ﯖ ‪ 1‬زَا َ ‪.‬‬ ‫‪ْ َ 1ْ ْ.R‬‬ ‫‪ ْ'&ْ َ/ ِ& H1 ْ.R‬وَا ْ‬ ‫!ْ‪%‬ي وَا ْ‬ ‫ ْ ‪َ.‬ة ْ‪ َ<-‬تْ ْ" ِ‬ ‫‪ ْ.R‬ا‪0 1‬‬ ‫ﯕ ‪ ْZ ِ1‬أ ِ ‪ِ.‬ي وَا ْ‬ ‫ َا ‪ 500‬دْرْ ْه‪ ،ْO‬وْ ْ&'ْ ْ‪. َ ْ ْ 30 َ ْ &ْ ُ>Hْ ْ ْ.1ْ ^5 ْ.2ْ -‬‬ ‫‪ ْ'&ْ ْ4Vْ T‬ا‪ ْ.1 ^>1‬آَ ْ ‪ْ ْ "َ ْL‬‬ ‫‪ َ K‬لْ ا‪ ْ' َ 91‬دْ*َ لْ ‪ ْ.2ْ -ْ ْ'&ْ َ/ ِ& H1‬ا‪ ْ.1 ^>1‬؟‬ ‫ا‪b^ 1‬الْ ُه َ ْ‬ ‫‪ْ%B‬جْ ‪ 500 ْ'&ْ َ ِ1‬دْرْ ْه‪.ْO‬‬ ‫‪ َ K‬لْ ‪.ّ -ْ َ ْ ْ 30‬رْ ْه‪ َ? ،ْO‬دْ ْ‪ ُ>H‬دَا ْآ!ِ ِّ‪ْ 1‬‬ ‫ ‪َ.2ْ -ْ ُV‬ا ْ‬ ‫ ْ‬ ‫> َ ْ ْ‬ ‫‪ْ J‬‬ ‫َ‬ ‫ َ ‪:‬‬ ‫‪َ"1‬ادْ ا ُ‪ِ َ %‬‬ ‫‪ َV ِ2 ْ- ُ&ْ.B‬دْ*َ لْ ا‪ْ 6‬‬ ‫أ‪ ِD‬دَا‪ْ ْ َ-‬‬ ‫ ‪ 500 ْFْ 0‬دْرْ ْه‪.ْO‬‬ ‫ ‪ c ْFْ 0‬وْر‪$‬ا ْ‪ْ ْ ْQ-‬‬ ‫ ‪ 100 ْFْ 0‬هُ ْ ْ‪ْ",ْ ْo‬رْ ‪ْ ْ L1 n ْ' ِ- ّ1‬‬ ‫ ‪ 30 ْFْ 0‬وْ"‪ْ ْ ِ $‬‬ ‫َ" ْ ْ‪ ِ 2‬أ‪ْ",ْ 6ُ $‬رْ ‪ْ ّ 1ْ ْ' ِ-‬لْ ْ ْ‬ ‫‪30‬‬ ‫‪c‬‬ ‫=‬ ‫‪100 500‬‬

‫‪ْ%J‬جْ ‪ُ َ1 h1 n‬ه َ ‪: c‬‬ ‫ ْ ِ ْ‪ْ ِ $" = ْ? 6‬‬ ‫‪$% ْ ْ 1ْ ْ ّ 1ْ ِ -ْ ْ%U‬ا ْ‪ ْQ-‬وْ ْ‪ْ T‬‬ ‫ل ْ‬ ‫إَ‬ ‫‪30 × 500‬‬ ‫‪= 150‬‬ ‫‪100‬‬

‫=‪c‬‬

‫ َا ‪ ْ.2ْ -ْ ْ'&ْ َ/ ِ& H1‬ا‪.ْ.1 ^>1‬‬ ‫> َ ْ‪ 150 ُ>H‬دْرْ ْه‪ َ- 500 ْ'&ْ ْO‬ش ْ ‪ H‬وْ ‪ َ K‬لْ َ" ْ ْ‬ ‫‪ْ J‬‬ ‫ْ* ْ‪ ِ 2‬أ‪َ 6ُ $‬‬

‫?‪َ.‬ة دْ*َ لْ أور* ‪: O‬‬ ‫‪ ُ&ْ.B‬دَا‪ َ -ْ َ-‬دْ ‪ َV ِ21‬تْ ‪ِ H‬‬ ‫أ‪ْ ْ D‬‬ ‫‪d ×1 = v3 × tu 3‬‬ ‫? ْ ‪ّ l َ ْ.‬ا‪ d 1‬وْ‪$. ُ 1‬ة ‪: tu3‬‬ ‫ ‪ v3 َ?ْ%‬وْ ْ‬ ‫ ‪^ ُV‬‬ ‫ ْ‬ ‫‪ْ ْ َ ِ<-ْ َ R‬‬ ‫ْ‬ ‫أشْ َ دِي ْ ‪ُ%*ِ.‬و ؟‬ ‫‪: َ ْ C‬‬ ‫ ا ّ‬ ‫? َ= ا‪ُ ِ1 91‬ه َ ‪ َ #ِU-ْ #ْ 8َ tu3‬ا | ‪ِ ّ ِ G‬ه َ‬ ‫ ْ ْ‬ ‫‪ ّ 1 َ -ْ ْ%U‬لْ ‪$%1 d‬ا ْ‪ 1 ْQ-‬وْ‪ْ T‬‬ ‫‪ْ 4‬‬ ‫ َ هْ &َ هْ ‪ِ ،‬و* َ‬ ‫‪d ×1‬‬ ‫‪= v3‬‬ ‫‪tu 3‬‬

‫إذن‬

‫‪d‬‬ ‫‪tu 3‬‬

‫= ‪v3‬‬

‫ َ ‪.‬‬ ‫‪َ"1‬ادْ ا ُ َ‪ِ َ %‬‬ ‫‪ْ 6 ْ ُ&ْ.B‬‬ ‫ ‪ َ َD َR ِK ُV‬دِي ْ ْ‬ ‫ ْ‬ ‫دَا‪ ، ِ َ5 َ-‬أو‪ْ ْ َ ِ- $ ْ T‬‬ ‫ ‪ َ?ْ%‬تْ ‪ v2‬وْ ‪: v1‬‬ ‫ ‪ ُV‬ا‪^ 1‬‬ ‫ ْ‬ ‫دَا‪ْ.Hْ َ-‬رُو ْ‪ ْoْ ْ -‬ا‪ْ ْ ، َH*%$P1‬‬ ‫‪d‬‬ ‫‪t u1‬‬

‫‪ َ $ْ َ5 َ 1‬رْ ‪:‬‬ ‫هَ ‪Z‬شْ ْ‬

‫= ‪v1‬‬

‫وْ‬

‫‪d‬‬ ‫‪tu 2‬‬

‫= ‪v2‬‬

‫ َ دِي "ْ ‪ َH‬وْ أ‪: 6ُ $‬‬

‫‪0,083 0,125 0,16 0,2 0,25‬‬ ‫≃‬ ‫≃‬ ‫≃‬ ‫≃‬ ‫‪= 0,04.m 2‬‬ ‫‪s‬‬ ‫‪2‬‬ ‫‪3‬‬ ‫‪4‬‬ ‫‪5‬‬ ‫‪6‬‬

‫ ‪ َ?ْ%‬تْ ‪ v3‬وْ ‪ v2‬وْ ‪ v1‬وْ ا‪$. ُ 1‬اتْ ‪ t3‬وْ ‪ t2‬وْ ‪ َK t1‬دِي =ْ"‪ 9‬وْ ‪:‬‬ ‫ل ‪^ 1 َ HHْR‬‬ ‫ ‪ َ?ْ%‬وْ ا‪ّ. ُ 1‬ة‪ ،‬إ َ‬ ‫دَا‪ْ.Hْ َ-‬رُو ْ ‪ َH‬وْ ‪ ْ' ِ- ّ1 َT@َ21‬ا‪ّ 1‬‬ ‫‪v1 v2 v3‬‬ ‫'‪= = =k‬‬ ‫‪t1 t2 t3‬‬

‫هَ دْ ‪ َT@َ21‬آ ْ‪ ِ 2‬‬ ‫ ْ َ هَ ?ْ = ‪ّ. ُ 1‬ة ‪ t1‬آ ْ‪ B َ ِP2‬ﯕ)َة‪.‬‬ ‫ ‪ v1 َ?ْ%‬وْ ْ‪ْ T‬‬ ‫‪ َ P‬ا‪ّ 1‬‬ ‫ل ْ‪ْ Vْ T‬‬ ‫أّ ُ‪ 6‬إ َ‬ ‫ ْ َ هَ ?ْ = ‪ّ. ُ 1‬ة ‪ t2‬آ ْ‪ B َ ِP2‬ﯕ)َة‪.‬‬ ‫ ‪ v2 َ?ْ%‬وْ ْ‪ْ T‬‬ ‫‪ َ P‬ا‪ّ 1‬‬ ‫ل ْ‪ْ Vْ T‬‬ ‫أّ ُ‪ 6‬إ َ‬ ‫ ْ َ هَ ?ْ = ‪ّ. ُ 1‬ة ‪ t3‬آ ْ‪ B َ ِP2‬ﯕ)َة‪.‬‬ ‫ ‪ v3 َ?ْ%‬وْ ْ‪ْ T‬‬ ‫‪ َ P‬ا‪ّ 1‬‬ ‫ل ْ‪ْ Vْ T‬‬ ‫أّ ُ‪ 6‬إ َ‬ ‫ ‪ َ 0‬هَ '‪.k‬‬ ‫ ِ‪ْ ّ1‬‬ ‫َه‪ ْZ*ِ.‬ا ‪ ّ9‬ﯕ)َة ِه َ‬ ‫ ‪ َ 0‬هَ ا‪ $>1‬ﯕ‪َ%‬ة '‪.k‬‬ ‫ ِ‪ْ ّ1‬‬ ‫‪ َ-/‬بْ ِه َ‬ ‫‪ َ-/‬بْ ْ‪ّ. ُ 1‬ة‪ ،‬وْهَ دِ*‪ْ 0 ْ1 ْZ‬‬ ‫ ‪ َ?ْ%‬آَ ْ< ْ ‪ْ 0 ْ1 ْ%‬‬ ‫دَا‪ْ.Hْ ْ َ-‬رُو ْﯖ ‪ 6ُ ّgِ- ُ1‬ا‪^ 1‬‬ ‫‪َ"1‬ة ْ‪ َ -‬لْ ﯕ‪: ُV ْ ْ ْ َ ِ1 ْ' ْ ْ *ْ ، َ ِV‬‬ ‫‪َ%Y‬ة ‪ِ َ ْ4 ْ !ْ-‬‬ ‫ل ْ‪ ُV ْ ْ ْ َ ِ<-‬دَا‪ َ-‬هَ دْ ‪ْ ْ 1‬‬ ‫إَ‬ ‫ ‪ َ?ْ%‬‬ ‫ا‪ -ْ/ 0 1 * LْT 1‬ب = ا‪^ 1‬‬ ‫ ‪:‬‬ ‫‪ َ&@َ21 ْ-‬تْ "َ عْ ﭬ ‪َ ْ:‬آ ْ ْ ْ ُ‬

‫‪v = k '× t‬‬ ‫&‪ َ,‬بْ ‪ , k' :‬ا‪(v : ?%ّ 1‬‬ ‫)ا‪ْ !"ْ , t : LْT 1‬‬

‫ ْ َ ؟‬ ‫‪ ْO ُ ِ1 ْ% ْ U‬أش ْ&'ْ ْ‬ ‫‪ِ =$ R‬ه َ‪ ،‬أشْ ْ‬ ‫ ْ َ ْ‬ ‫ ِ ّ ْهَ ‪ْ ِK‬‬ ‫> َ ْ ْ‬ ‫‪ْ J‬‬ ‫‪ َ-/‬بْ ْ‬ ‫وْهَ دِ*‪ْ 0 ْ1 ْZ‬‬ ‫‪. ْ5D‬‬ ‫ ّ ْدْ إ ْ َ! ‪ُ 1ْ J‬ونْ ‪ َK‬دِي ‪ْ ُC‬‬ ‫ ِ َآ ْ ْ‬ ‫‪ G#ِ& +َ ْ ,‬هِ َ‬ ‫‪ َ #ّ ِ %‬هَ ا ‪E‬‬ ‫ ‪ َC‬بْ ْ‬ ‫ ‪ْ S‬‬ ‫ْ* َ آ ْﯖ دَة‪ ،‬هَ دِ‪ْ ]C‬‬

‫‪ ْOk‬؟‬ ‫& َ ْ‬ ‫‪ْ +َ#k‬‬ ‫‪ِ 9 ، َ ْ C‬‬ ‫‪ َ ْ C‬دْ‪ َ#‬لْ ا ّ‬ ‫ ّ ْدْ ا ّ‬ ‫ ِ َآ ْ ْ‬ ‫‪ +َ ْ ,‬وْ ْ‪ِ ْO6‬ه َ‬ ‫ ‪ َC‬بْ ِ ّ ِ‪ ْ #‬ا ‪E‬‬ ‫ ‪ْ S‬‬ ‫ْ‪ ِ -ْ C‬هَ دِ‪ْ ]C‬‬ ‫‪ !َ V‬ا "‪ُ َC‬رعْ‪.‬‬ ‫‪ْ #$ ,‬هَ ّزرْ‪ +# ْ -ْ ْ ، َ%‬ا ُ‪ْ J‬‬ ‫ ِ ‪ َK‬دِي ْ= ْ‬ ‫‪ِ +َ ْ ,‬ه َ‬ ‫هَ دِ‪ ]C‬ا ‪ +َ ْ ,‬دْ‪ َC‬لْ ا ّ‬

‫ ‪:‬‬ ‫ْ ‪ َ&@َ21‬تْ "َ عْ ﭬ ‪َ ْ:‬آ ْ ْ ْ ُ‬‫‪v = a× t‬‬ ‫)ا‪ّ , t : LْT 1‬زرْ َ‪ , a : +‬ا‪(v : ?%ّ 1‬‬ ‫ ْ‪ ْe5‬ا‪ $>1‬ﯕ‪َ%‬ة '‪.k‬‬ ‫‪ َ*+ْ& َ Hّ ّHR‬نْ ْ ‪ $>1‬ﯕ‪َ%‬اتْ َ دِي ْ ‪ H‬وْ أ‪ 6ُ $‬ا‪ $>1‬ﯕ‪َ%‬ة ‪ِ k‬ه َ‬ ‫ل ْ‬ ‫‪ ،ْ * ِP‬إ َ‬ ‫‪ ُ2 ْ /‬وْ ْ ْ‬ ‫‪ْ ْ َ& 4ْVT َD َR ْ%J‬‬ ‫|ِ‬

‫‪0,04 m‬‬ ‫= ‪0,02.m 2‬‬ ‫‪2‬‬ ‫‪s‬‬ ‫‪2 s‬‬

: ْK ِ9* َ ‫ا‬ (‫ &ّا وْ ْ ُ "ّة‬ ّْ ْ' ِ- 01 َT@َ21‫)ا‬ BA CA DA = = =k (t1 × t1 ) (t 2 × t 2 ) (t 3 × t 3 ) (‫َ وْ ْ ُ "ّة‬1ْ) W ْ' ِ- 01 َT@َ21‫)ا‬ v1 v2 v3 = = =k' t1 t2 t3 (ْ‫ ﯕ)َات‬9 ‫ِ 'ْ ا‬- 01 َT@َ21‫)ا‬ 1 k = ×k ' 2

: ْ' ِ ‫ َا‬H1 ْ‫ُ جْ "َ ع‬D ْ‫ ت‬T@َ21 ْ‫ُ ْ&'ْ هَ د‬Dْ%B ْ ْ ‫ َ دِي‬ ‫ْ = ا & ا‬d ّ * َ%ْ‫ ( * ّزر‬LْT 1‫ * ا‬LْT 1‫) ا‬

;

َ1ْ)W ‫َ = ا‬%ْ‫ * ّزر‬LْT 1‫ا‬ : ُ ْ ْ ْ ‫ْ َآ‬: ‫َ@&َ تْ "َ عْ ﭬ‬21 ْ-

1 x = × a × t2 2

v = a×t

: ُ

ْ 2ْ ْ َ ِD ‫ل‬ َ‫إ‬ 1 x = × a × t 2 + Vi × t + X i 2

v = a × t + Vi

(Vi : +َ‫ َ آ‬ َ ْ‫َ ل‬Cْ‫ د‬Sَ ْA ?9ّ * ?%ّ 1‫ ا‬, Xi : +َ‫ َ آ‬ َ ْ‫َ ل‬Cْ‫ د‬Sَ ْA ?9ّ * 1‫ا‬$ P1‫) ا‬

.‫ م‬E%ْ5 ‫< )ة‬% ‫آ ا‬% 1‫ > = ا‬1 - ،ْ) ْ <ْ %َ‫ِ َ دْ وْ آ‬1 ‫َآ‬% َ 1 ْ‫ َا ِ 'ْ دْ*َ ل‬H1 ‫ل‬ ّ ْ‫ سْ و‬- ‫هَ دُو ُه َ ا‬

‫ا ّ(رْ‪ َ%‬دْ‪ َ#‬لْ ا ‪ َ 2ّ-‬نْ‬ ‫ ُ‪.‬وِر*َ ‪ َ ،‬دِي ْ !ُ ُ آِ َ شْ َ" ْ ْ‪ْ.ّ V‬لْ‪.‬‬ ‫ن ا ّ ْرْ َ َآ ْ ْ‪ْ.ّ V‬لْ ْ& َ‪ Q‬ا‪ْ 1‬‬ ‫ْآ ‪ $‬ﯕ ْ َ أ ‪$‬‬ ‫دَا‪ َ َ-‬دِي ْ‪ = ْ? ُV H‬أ‪ُ َ K‬ه َ ا‪ْ%ْ 1‬قْ ‪ ْ' -‬ا‪.ّ 1‬رْدُو‪ َ-‬وْ ا‪ َ ّP1‬نْ‪ َ? ،‬دْ ْ ‪ H‬وْ ‪ ' - T@َ? ِK‬ا ّ رْ َ ‪.ّ 1‬رْدُو‪ َ-‬وْ ا ّ رْ َ ‪ َ ّP1‬نْ‪.‬‬ ‫* ُ"وِر َ ‪.‬‬ ‫ن ‪ْ%ْ 1‬قْ ‪ُ ْO ُ "ْ َ ِ-‬ه َ ْ‬ ‫‪ َ*ْ+&ْ َ Hْ Hّ R‬نْ َ دِي ْ ‪ H‬وْ أ ‪$‬‬ ‫‪ْ 4‬‬ ‫ ْ ْ‪ ْo‬ا‪ِ ، َ1 َ 1‬و* َ‬ ‫‪ a‬هْ ْ‪ْ Qَ &ْ َP-‬درْدُو‪ِ َ-‬ه َ‬ ‫ﯕ ﯕ‪ V‬أّ ُ‪ 6‬آُ‪َ %‬ة ‪َ ْ ْ َ *ْ َl‬ا وْ ‪$‬‬

‫? ِ ْ‪.6‬‬ ‫ ُ‪.‬وِر*َ ‪ّ ،‬زرْ‪ِ $" َ-‬ه َ َآ ْ ِ‪ َ*?ْ ،ْ.*+‬لْ؟ هَ‪I‬ا ُه َ ا‪b^ 1‬الْ ِ‪ َ ّ1‬دِي ْ ‪ َ/‬وْ‪ْ ُ-‬‬ ‫ل زْدْ َ ْ ْ‬ ‫? ْ َ" ِ أ‪ِ 6ُ $‬إ َ‬ ‫وْ ‪َ َ ْ K‬‬ ‫> َ ْ ْ‪ ُV ْ H‬ا ?ْ = ا ‪ 9‬ﯕ)َة ؟‬ ‫‪ْ J‬‬ ‫* ُ"وِر َ ‪ْ ،‬‬ ‫> َ ْ ْ‪ ُV ْ H‬ا ?ْ = ا‪ T@21‬أ‪ ْ' ِ- ّ1‬ا ّ رْ َ وْ ا ْ‬ ‫‪ْ J‬‬ ‫ْ* ْ‪ ِ 2‬أ‪ْ 6ُ $‬‬ ‫ ُ&هَ ‪.‬‬‫* ْ‬ ‫ل ْ‪ْ 5‬‬ ‫ ُ‪.‬وِر*َ وْ ْ !ُ ُ آِ َ شْ َ دِي ْ‪ُ) ْ $ْ 5‬وهَ وْ ‪$‬‬ ‫‪ْ 1 &ُ ْ I‬‬ ‫?‪ َ ْ%‬ا ّ رْ َ أش َ" ْ ْ‪ ، ِ 2‬أ‪ ِD‬دَا‪ْ 5ْ َ-‬‬ ‫دَا‪ْ َ-‬‬ ‫ ُ‪.‬وِر*َ ت ُه َ ا‪ ^P1‬لْ ‪ h‬وْا‪$ P1‬ا‪.d 1‬‬ ‫ن ‪ْ%ْ 1‬قْ ‪ ْ' ِ-‬هَ دْ ‪ْ 1‬‬ ‫‪ َ*ْ+&ْ َ Hْ Hّ R‬نْ َ دِي ْ ‪ H‬وْ أ ‪$‬‬ ‫‪ْ 4‬‬ ‫إ*َ‬ ‫ ِوي ا‪$ P1‬ا‪ ،d 1‬دِ‪ +َ % ْ]C‬وْ‪ َ "ْD‬ا ‪ َ #$U‬نْ‪.‬‬‫ ُ‪.‬وِر*َ َآ‪ َ-,ْ%‬حْ‪ 01ْ *ْ ْh ِR ،‬ا‪ ^P1‬لْ ‪َ ْ َ h‬‬ ‫‪ ْ.R‬ا‪ ^P1‬لْ آ ْ‪ ْ) ْ F‬أو ‪ْ 1‬‬ ‫&َ ْ‬ ‫‪َ"/‬ة ‪:‬‬ ‫ ُ‪.‬وِر*َ وْ ْ‬ ‫أ‪ ِD‬دَا‪ HHْ ْ َ-‬هِ ‪ْ ْ%‬‬

‫ ْ* ْ‪ َB ِ 2‬ﯕ)َة‪.‬‬ ‫ ِه َ‬ ‫‪ِ m‬ه َ‬ ‫ل ‪@ْ? ،B‬شْ ؟ ‪ ْh ِR‬زْرْ َ آَ ْ‪َ V‬‬ ‫ل ‪ C‬وْ ‬ ‫‪َ.R‬ة وَا‪َ% 1 َ H ْ" َJ‬ة ْ&'ْ ‪ D‬وْ ‪$‬‬ ‫‪ُ.R‬ور*َ وْ ْ‬ ‫دَا‪ َ-‬هَ دِي ْ‬ ‫ ‪ َ 01‬دِي ْ ‪ H‬وْهَ دْرُوآَ ‪.‬‬ ‫‪ِ $ R‬ه َ ‪ َB‬ﯕ)َة‪ِ ،‬ه َ‬ ‫‪َ%J‬ى آ ْ ْ‪ْ =َHV‬‬ ‫‪ .َ R‬ا ْ‬ ‫‪ َD َ 1 ْ.R‬وْ ْ‬ ‫آَ ْ* َ وَا ْ‬

‫‪ َ $ْ َ5 َ 1‬رْ ‪:‬‬ ‫هَ ‪Z‬شْ ْ‬

‫ ْ ِ '‪ AD = ْ? DD‬آ ْ‪ B َ ِP2‬ﯕ)َة‪.‬‬ ‫ل ْ‪ْ T‬‬ ‫‪ َ* َ2&ْ ُ(R‬أ‪ 6ُ $‬إ َ‬ ‫ َ دِي "ْ@ ْ‬ ‫ ْ ِ '‪ AC = ْ? CC‬آ ْ‪ B َ ِP2‬ﯕ)َة‪.‬‬ ‫ل ْ‪ْ T‬‬ ‫‪ َ* َ2&ْ ُ(R‬أ‪ 6ُ $‬إ َ‬ ‫ َ دِي "ْ@ ْ‬ ‫ ْ ِ '‪ AB = ْ? BB‬آ ْ‪ B َ ِP2‬ﯕ)َة‪.‬‬ ‫ل ْ‪ْ T‬‬ ‫‪ َ* َ2&ْ ُ(R‬أ‪ 6ُ $‬إ َ‬ ‫ َ دِي "ْ@ ْ‬ ‫ ‪ْ 0‬هَ ''‪.k‬‬ ‫ ِ‪ َ ّ1‬دِي ْ ْ‬ ‫َه‪ ْZ*ِ.‬ا ‪ ّ9‬ﯕ)َة ِه َ‬ ‫? ْ‪ُ%V‬و ‪ ، َ ِ-‬وْ َ دِي ْ" ْ ‪ َH‬وْ هَ دْ ا ‪ 9‬ﯕ)َة‪.‬‬ ‫‪َ%P‬ة وْ ْ‬ ‫ َ‬ ‫ْ‪ْ &ِ ُPVْ T‬‬

‫‪4‬‬ ‫‪3,5 2,8‬‬ ‫≃‬ ‫≃‬ ‫'' ‪= 0,3 = k‬‬ ‫‪13,5 11,6 9,3‬‬ ‫‪َ"1‬ة‪: ُV ْ ْ ْ َ ِ1 ْ' ْ ْ *ْ ،‬‬ ‫‪َ%Y‬ة ‪ِ َ ْ4 ْ !ْ-‬‬ ‫ل ْ‪ ُV ْ ْ ْ َ ِ<-‬دَا‪ َ-‬هَ دْ ‪ْ ْ 1‬‬ ‫إَ‬ ‫' ‪DD ' CC ' BB‬‬ ‫=‬ ‫=‬ ‫'' ‪= k‬‬ ‫‪AD‬‬ ‫‪AC‬‬ ‫‪AB‬‬

‫‪&ُ 1‬دْ ?ْ = '‪.AD‬‬ ‫ل آَ ْ ‪ْ DD' ْL‬‬ ‫‪ َ ِ 5‬هِ ‪ ْ%‬إ َ‬ ‫ ‪ ْm‬هَ ذ ا‪ْ َT@َ21‬‬ ‫ْ ْ‬‫! ْ ‪.ْ4‬‬ ‫ ْ َ ْ ْ‬ ‫‪ ْ.R‬ا‪ّْ 1‬‬ ‫ ْ َ ‪ َ ،‬دِي ْ ْ‪ْ ِP2‬هَ وَا ْ‬ ‫> َ ْ ْ‪ْ ِP2‬هَ ‪ْ ِK‬‬ ‫‪ْ J‬‬ ‫هَ دِ*‪ Z‬ا‪ $>1‬ﯕ‪َ%‬ة آِ ‪ ْw‬ا‪ َ21‬دَة ْ‬ ‫ ‪ْ 0‬هَ ّ ْ ُ&سْ َ عْ ْ ُ&ِ َ وْ ل ا ْ‪ ْ: ْ ,‬أ َ َ ‪ ،‬وْ َ" ْ ْ ْ ‪ ُV‬هَ )‪.sin(α‬‬ ‫ َ دِي ْ ْ‬ ‫‪ َ" ْKB‬عْ هَ دْ‪. ِK‬‬ ‫ ْ‪ %‬ا‪ْ 6‬‬ ‫> َ= ا اِو َ ‪ ،‬آِ ‪ ْw‬ا‪ َ21‬دَة َ دِي ْ ْ ّ‬ ‫ل ا ْ‪ َ -ِ %َ 2َ 1 ْ- ْ: ْ ,‬ا‪ْ ُ 1‬‬ ‫ ‪ َ ِ&ُ ْ α ْ 0‬وْ ‪$‬‬ ‫َ" ْ ْ‬

‫' ‪DD ' CC ' BB‬‬ ‫=‬ ‫=‬ ‫) ‪= k '' = sin(α‬‬ ‫‪AD‬‬ ‫‪AC‬‬ ‫‪AB‬‬

‫‪َ)<ْ O‬ا ِ‪: َ Q‬‬ ‫ي "َ عْ ا ‪ِ %‬ر ‪ ْk‬وْ ا ْ‬ ‫‪َ ِK‬‬ ‫> َ ْ‪َ%H‬اوْ ْ‬ ‫‪ْ J‬‬ ‫َ شْ ْ ْ ْ ُ ْ&‪ َ*ْ+‬نْ‪ْ ،‬‬‫‪ َ /‬تْ‪@ْ? ،‬شْ ؟‬ ‫ & ا ‪ ُD ْ' ِ- 01‬جْ "َ عْ ا‪ْ ّْ1‬‬ ‫ ِ‪ َ ْ "َ ْm*%‬وْ‪ُ%Vْ 2ْ *ْ ُ1‬و ا ّْ‬ ‫أ ِ ‪ِ.‬ي ْ ّ ْلْ آَ ُ ا~ ْ‬ ‫‪ ُ/ ْ 1 ْ- ْm*%ِP‬مْ‪.‬‬ ‫‪ ُ Vْ /‬مْ ا‪ َ 1‬لْ‪ Qَ &ْ a a ،‬آَ ُ َ" ْ َ ْ ‪ُ%‬و ْ‪$+-‬افْ ‪ ْ 1 ْ-‬آَ ‪ ،‬آَ ُ َ" ْ ْ‪ ُ ّْ2‬ا ‪ّْ 1‬‬ ‫?ْ‬ ‫‪ْ ْh ِR‬‬ ‫‪ َ /‬تْ‪.‬‬ ‫‪$ P‬ا‪ ْ' ِ- 01 1‬ا‪ْ ّْ1‬‬ ‫‪ t‬ا‪ّْ 1‬‬ ‫‪ْ Vْ Y‬‬ ‫ ‪ّْ 1 ْ- ُV‬‬ ‫ ْ‬ ‫‪ ُ 5‬مْ ْ* ْ‬ ‫‪ َ*ْ+&ْ ْm*%ِP‬نْ‪ْ َJ ،‬‬ ‫‪ َ-‬شْ ْ* ْ‪ ُ ْ 2‬ا‪ّْ 1‬‬

‫‪$ P‬ا‪ 1‬وْ ُه َ وَاﯕ ِ 'ْ ‪:‬رْضْ‪.‬‬ ‫> ُ مْ ْ* ْ‪ُ%Vْ 2‬و ا‪$ 1‬‬ ‫‪ْ J‬‬ ‫‪َ%J‬ى أ‪ْ ْO ُ $‬‬ ‫‪َ.R‬ة ا ْ‬ ‫وْ ِز*‪ْ.‬كْ وْ ْ‬ ‫ ‪. َ ِ ْ' ِH‬‬ ‫‪ْa‬‬ ‫‪ ْ.R‬ا ْ‪ ,‬وْا‪ ُ/ ْ 1‬مْ َ‬ ‫?‪َ ْ ْ'*ِ.‬ا ْ‬ ‫ل ﯕ ْ‬ ‫ ُ مْ ْ‪َ َ -‬‬ ‫‪ ُ ْ B‬رَا ْ‬ ‫ أ‪ْ "ْ ْO ُ $‬‬ ‫? ِ َ ِه َ‬ ‫ْ‪ْ ُR َl 01 َV ِ21‬‬ ‫ ‪. , ْQ ْl‬‬ ‫ َ ِوي )ا` ْ* َ‪.‬اِوي ( رَا‪ْ H ْF‬‬ ‫ َ ِو َ ‪ ِ 2ْ *ْ ،‬ﯕ عْ ‪َ 01‬‬‫ ‪ $‬وْهَ ا ْ‪ ,‬ا ‬ ‫هَ دْ ا‪ْ $VHْ 1‬‬ ‫! ْ ‪ َ" ْ4‬عْ ا ْ‪: ,‬‬ ‫هَ ا‪ْ 1‬‬

‫ل ا ْ‪.α ْ: ْ ,‬‬ ‫‪ .َ R‬ا‪+$ 1‬اِو*َ وْ ‪$‬‬ ‫‪ Qَ &ْ ِ/ ْ "َ َV ْ Tْ 4‬وَا ْ‬ ‫‪ َ /‬تْ ا ‪ ، َ ْ ,‬وْ ُآ ‪$‬‬ ‫‪$ P‬ا‪ ْ' ِ- 01 1‬ا‪ْ ّْ1‬‬ ‫ ‪ ْ 0‬ا‪ّْ 1‬‬ ‫ ِ‪ ْm*%‬آَ ُ َ" ْ ْ‬ ‫ا~ ْ‬

‫ ْ ْ ُ أرْ َ َ هَ َ&!ِ ‪ َK‬رُو‪ َJ‬نْ‪ ،‬ﯕ ِ ُ ْم ْ ‪ُ%Vْ 2ْ ْ َ& ْ5@ّV‬و ‪ ، َV ْ H1 ْ-‬أ‪ُ%Vْ 2ْ ْ ِD‬و ْ ْ ‪ ْe‬ا ‪. َ ْ ,‬‬ ‫‪ ْ.R‬ا‪ِ. ْ ْ 1‬ي ْ‬ ‫‪ َD‬وَا ْ‬ ‫‪.m‬‬ ‫ ْ ِ 'ْ َ" ْ ْ ْ ‪ ُV‬هِ ‪ ُV ْ ْ *ْ َ& ْ5@ّV ْ ْmِ ْ%‬أرْ َد ِ َ‬ ‫‪ َD ،m‬وْ ‪ْ ْ 1‬‬ ‫ ْ ْ ‪ ْd ْ ْL‬ا‪ *. 1 - َV ْ H1‬أرْ َد ِ َ‬ ‫ْ‬

‫‪&ُ ِ َ ِ ِ"a ْ- ْF ُ D‬سْ ‪.sinus‬‬ ‫ ‪ْ%‬وَالْ‪ ،‬وْ ْ"‪ْ ْ%‬‬ ‫ دْ*َ لْ ا‪ّْ 1‬‬ ‫‪َ َD‬و ا‪:‬رُو ِ‪َ%Hْ *ْ ْ' ِ -‬اوْ ِ‪ُ ،ْm‬ه َ ْ* ْ‪َ%H‬اوْهَ َ ْ ‪ َ -ْ ْm‬لْ ا‪ْ 0/1‬‬ ‫ ِ ‪.ْZ‬‬ ‫ي "َ عْ ا‪ ْ 1‬ﯖِ * ْ‬ ‫‪َ ِK‬‬ ‫‪ْ =$ R‬‬ ‫‪َ)<ْ O‬ا ِ‪ ، َ Q‬وْ ِز*‪ْ ْ.‬‬ ‫ي "َ عْ ا ‪ِ %‬ر ‪ ْk‬وْا ْ‬ ‫‪َ ِK‬‬ ‫‪ َ* ُ ْ K‬ﯕ ْ ‪ْ ْO ُ ِ1 ْL‬‬ ‫إ َو ْ‬ ‫! ِ ‪ ْ4‬دْ*َ ‪. َ 1‬‬ ‫‪ْ ُ 1 ُ2D‬‬ ‫‪ ْ45‬دْ*َ لْ ا ْ‪ ْ: ْ ,‬وْ ُ&سْ دْ*َ ‪ ، ُ1‬أ‪ ِD‬دْرُوآَ ْ ‪ْ ْ%‬‬ ‫ي ا‪ْ :‬‬ ‫‪َ ِK‬‬ ‫دَا‪ْ َ ْ ْ ْ 0 &ْ َ-‬‬ ‫ ُ‪.‬وِر*َ ‪ ْ' ِ- َT@َ? ِ 2ْ *ْ ،‬ا ّ ْرْ َ وْ ا ‪&ُ -‬سْ دْ*َ لْ ‪. α‬‬ ‫? َ= ‪ ْ' ِ- َT@َ? ِK‬ا‪ْ+ّ 1‬رْ‪ َ-‬وْ ا‪ْ 1‬‬ ‫ْآ ‪ْ ُV ْ Hْ ْ "َ $‬‬ ‫ ‪.‬‬ ‫* ُ"وِر َ ‪ِ = ْR‬ه َ‬ ‫‪ َ-%ِ/‬تْ "َ عْ ﯕ‪ ، ِV‬هِ ‪ ْ%‬هَ دْ ‪$% ْ 1‬ة َ دِي ْ ْ‪ْ ُ1ْ.V‬‬ ‫ َ دِي ْ ‪ َ2‬وْدُو ْ ْ‪ ْo‬ا‪ْ ّْ1‬‬ ‫‪ ْ.R‬ا ّ ْرْ َ ‪: @َ9&َ ،‬‬ ‫‪"ُ /‬وِر َ َ دِي ْ" ْ‪ َ ِP2‬وَا ْ‬ ‫‪ْ 4‬‬ ‫دَا‪ُ َ-‬آ ‪$‬‬ ‫‪ ْ.R‬ا ّ ْرْ َ ‪.a1‬‬ ‫ ا ‪&ُ -‬سْ دْ*َ لْ ‪ َ α1‬دِي ْ" ْ‪ َ ِP2‬وَا ْ‬ ‫ل ‪ِ 01‬ه َ‬ ‫ ُ‪.‬وِر*َ ا‪َ ْ ّ1‬‬ ‫ا‪ْ 1‬‬ ‫‪ ْ.R‬ا ّ ْرْ َ ‪.a2‬‬ ‫ ا ‪&ُ -‬سْ دْ*َ لْ ‪ َ α2‬دِي ْ" ْ‪ َ ِP2‬وَا ْ‬ ‫ ُ‪.‬وِر*َ ا‪ِ 01 َ ْ 91‬ه َ‬ ‫ا‪ْ 1‬‬ ‫‪ ْ.R‬ا ّ ْرْ َ ‪.a3‬‬ ‫ ا ‪&ُ -‬سْ دْ*َ لْ ‪ َ α3‬دِي ْ" ْ‪ َ ِP2‬وَا ْ‬ ‫ ُ‪.‬وِر*َ ا‪ِ 01 91 َ91‬ه َ‬ ‫ا‪ْ 1‬‬ ‫ا ‪&ُ -‬سْ دْ*َ لْ ‪ ُV ْ ْ ْ "َ α‬هَ )‪.sin(α‬‬ ‫* ُ"وِر َ وْ ا ّ ْرْ َ ‪:‬‬ ‫‪ ْ' ِ- َT@َ21 ْ.R‬ا ْ‬ ‫?‪َ.‬ادْ ‪ َH ْ "َ ، َ ِH1 01‬وْ وَا ْ‬ ‫‪ َ*+ْ& َ Hّ Hّ R‬نْ ْ ‪ْ :‬‬ ‫ل ْ‬ ‫ِإ َ‬ ‫‪a3‬‬ ‫‪a1‬‬ ‫‪a2‬‬ ‫=‬ ‫=‬ ‫‪= K1‬‬ ‫) ‪sin(α1 ) sin(α 2 ) sin(α 3‬‬

‫ ُ&سْ "َ عْ ا‪: α ْL ْ Hْ 1‬‬ ‫ ُ‪.‬وِر*َ ‪ِ 01 ،‬ه َ‬ ‫ْ* ْ‪ ِ 2‬أ‪ 6ُ $‬ا ّ ْرْ َ َآ ْ ‪َ+‬ادْ ‪ -ْ/ 0 ْ1‬بْ ا‪ْ 1‬‬ ‫) ‪a = k1 × sin(α‬‬ ‫ﯕ ﯕ‪ V‬أّ ُ‪ 01ْ *ْ ْh ِR 6‬ا‪ ^P1‬لْ ‪َ ْ َ h‬‬ ‫ ِوي ا‪$ P1‬ا‪ ،d 1‬دِ‪ +َ % ْ]C‬وْ‪ َ "ْD‬ا ‪ َ 2&-‬نْ‪.‬‬‫‪: ْ"/‬‬ ‫ َ ‪ َ ِP2ْ ْ "َ ،‬وَا ْ‬ ‫? َ= ْ ْ ْ‬ ‫ ْ ِ ‪ْ َD َR ِK‬‬ ‫ل ْ‪ْ T‬‬ ‫ َ بْ َ" ْﯖ ‪ 6ُ $gِ- ُ1‬إ َ‬ ‫‪ َ 5‬بْ ‪ْ 1‬‬ ‫وْ ْ‬

‫ْ* ْ‪ ِ 2‬أ‪ َ* ْQ 6ُ $‬نْ‬

‫' ‪DD ' CC ' BB‬‬ ‫=‬ ‫=‬ ‫‪=1‬‬ ‫‪AD‬‬ ‫‪AC‬‬ ‫‪AB‬‬ ‫? ْ ‪: َ ْ.‬‬ ‫ْ‬

‫‪a = k1 × 1‬‬

‫ل ا ّ ْرْ َ َ عْ ْ ِ "ْ ‪. g‬‬ ‫ ‪ْ 0‬هَ ا ّ ْرْ َ َ عْ ا ّ *َ نْ وْ ‪$‬‬ ‫ ْ َ ‪ َ ،‬دِي ْ ْ‬ ‫> َ ْ ْ‪ْ ِP2‬هَ ‪ْ ِK‬‬ ‫‪ْ J‬‬ ‫َه‪ ْZ*ِ.‬ا ‪ ّ9‬ﯕ)َة ‪ k1‬آِ ‪ ْw‬ا‪ َ21‬دَة ْ‬ ‫ ْ َ ‪.‬‬ ‫ َ‪%‬آَ ‪ُ%2ْ ْ 1‬وفْ ْ " َ ِ ْ‪ َ ،‬دِي ْ" ْ ْ ُ ?ْ@شْ هَ دْ ا‪ّْ 1‬‬ ‫ َ ‪ َ" ْm‬عْ ا‪َ 1‬‬‫‪َ%Hْ ْ ْh ِR‬اوْ ‪ َH ْR‬ا ‬ ‫* ُ"وِر َ وْ ا ّ ْرْ َ َ" ْ ْ‪: 01‬‬ ‫ا‪ ْ' ِ- 01 َT@َ21‬ا ْ‬ ‫) ‪a = g × sin(α‬‬

‫ َ دِي ْ* ُ نْ ‪ َ-‬نْ ‪ ُ ِ1‬مْ أ‪: 6ُ $‬‬ ‫ ِ‪ َB ّ1‬ﯕ)َة‪.‬‬ ‫)ْ‪ِ َ1‬ه َ‬‫‪$ P‬ا‪ ، 1‬ا ‪W‬‬ ‫ َ‪%‬آَ ا‪ 1‬ﯖ دة ْ ْ‬ ‫ ْ ‪ْ ّ 1‬لْ ْ ‪َ 1‬‬ ‫ ِ‪ َB h R $ ِ &ُ ّ1‬ﯕ)َة‪.‬‬ ‫ ‪ َB ْn ْ َ, ْ َ

َ?ْ%‬ﯕ)َة‪ ،‬وْ‪a‬تْ ا ّ ْرْ َ ِه َ‬ ‫وْ ْ&'ْ ْ‪ْ.ّ 1 ْ ْ.2ْ -‬رْدُو‪ ، َ-‬ا‪^ 1‬‬ ‫ ِ‪ َB ّ1‬ﯕ)َة‪.‬‬ ‫‪ِ ْ" ِ O‬ه َ‬ ‫ ُ‪.‬وِر*َ ‪ ،‬ا‪ْ+ّ 1‬رْ‪ َB ْn ْ َ, ْ َ

َ-‬ﯕ)َة‪ ،‬وْ‪a‬تْ ا ّ ْرْ َ َ عْ ا ْ‬ ‫وْ ْ&'ْ ْ‪َ.Vْ "ْ Qَ &ْ ْ.2ْ -‬الْ ا‪ْ 1‬‬ ‫ل ا ‪ 9‬ﯕ)ْ‪.‬‬ ‫ْه َ ْ*‪ َV‬نْ ‪ ْZ ِ1‬ا ‪ْ &WO‬ه)ْ "َ عْ ا‪ ُ21‬مْ‪ُ ّ1ِ ،‬ه َ ا‪@ْH ّْ1‬بْ ?ْ = ا ‪ ْ: ْ o‬وْ ‪$‬‬ ‫‪.ْ.*ِ.D‬‬ ‫! ِ ‪ْ ْ4‬‬ ‫‪ْ ُ ْ F ُ-ْ%/‬‬ ‫ ‪َ%‬آ ِ‪ َ ّ1‬دْ وْ آَ‪ ،ْ) ْ <ْ %‬أ‪ْ ْ ِD‬‬ ‫وَا َد‪ َ ِH1 ّ &ْ َ-‬ا ّ رْ َ َ عْ ا *َ نْ وْ ا ‪ -‬سْ "َ عْ ا‪َ 1‬‬ ‫‪%َ R‬آَ ا ّ ْ‪ Q‬نْ‪.‬‬ ‫‪ َ" ْ4 ْ K‬عْ َ‬ ‫ ُ مْ‪ ،‬دْرُوآَ ?َ دْ َ دِي ْ* ْ‪َ.V‬ا ‪ ُH2ْ ْ 1‬لْ‪ َ ،‬دِي ْ !ُ ُ دَا‪ْ َ-‬‬ ‫‪ُ.D‬و رَا ْ‬ ‫وْ ْ‬

‫ا ّ ْ‪ Q‬نْ ‪:‬‬ ‫‪َ %َ R‬آ ْ ا ّ ْ‪ Q‬نْ‪.‬‬ ‫‪ ْ4 ْ K‬دْ*َ لْ َ‬ ‫‪ َ- 6ْ ِ- ُ&ْ.ّ B‬شْ ْ ‪ َH‬وْ ْ‬ ‫آِ ‪ ْw‬ﯕ َ ﯕ‪ ، ِV‬ﯕ عْ هَ دْ‪ْ ّ1 ْ'&ْ ْF َ ِH1 01 ِK‬لْ َ دِي ْ ْ‬ ‫‪ُ َ K‬ه َ ْ‪ .َ 2ْ -‬ا ّ ‪ Q‬نْ ؟‬ ‫أْ‬ ‫ل ْ‪. َ ِ &َ ِ!-‬‬ ‫‪ْ "َ َD َR ِK ِ ْ) ْ َ ْ.R‬ﯖ ‪ْ ْ َ 6 ِ1 ُ1‬فْ‪ ،‬وْ *ْ ْ ْ 'ْ ‪ َ *.0 -ِ ^ ْ+ ْ َ ِ1‬وْ ‪$‬‬ ‫ا‪ $ +ّ 1‬نْ ُه َأ‪ْ ِK h ِR 6ُ $‬‬ ‫‪َ%J‬ى‪.‬‬ ‫‪َ.R‬ة | ْ‬ ‫ل ‪ َD َR ِK‬وْ ْ‬ ‫ل ‪ َ5‬رُوخْ وْ ‪$‬‬ ‫ل ْ‪ َ1 ُVْ T‬وْ ‪$‬‬ ‫‪َ%/‬ة وْ ‪$‬‬ ‫‪ْR‬‬ ‫هَ دِ*‪ Z‬ا‪ ُ "ْ ْ' ْ ْ *ْ َD َ 1‬نْ ْ‬ ‫‪. َ ِ- ُ&ْ.B‬‬ ‫ ِ) ‪ْ ْ "َ 01 َ,‬‬ ‫‪)َ /‬آَ ا ّ ْ‪ Q‬نْ‪ َ ،‬دِي ْ ْ‪ .َ 2ْ -ْ ْ' ّْV‬ا ‬ ‫‪ َ" ْ4 ْ K‬عْ َ‬ ‫ْ‪ َ ْ َ& ْ4Vْ T‬وْ‪ َH ْ ْ ُ1‬وْ آِ َ شْ دَا ْ*‪ْ ْ%‬‬ ‫‪َ َH*%ِP‬آ ْ ْ‪ َB =َHV‬ﯕ)َة !!‬ ‫ َ‪%‬آَ ‪ ِ 2ْ *ْ ،‬هَ دْ ا‪$ 1‬‬ ‫ ^ ا‪ِ َ! َ 1‬آ‪ َ" ْ4‬عْ ا‪َ 1‬‬ ‫ ِ) ‪ َ- َ,‬شْ ْ ْ‬ ‫‪ V ُ&ْ.B‬ا ‬ ‫َ" ْ ْ‬ ‫*‪.ْK‬‬ ‫ &َاتْ ‪ َ-‬شْ ْ ْ ‪ َH‬وْ ا ْ‬ ‫‪ْI‬‬ ‫> َ ْ ‪ُ%*ِ.‬و [‪ َ [C‬عْ ا ْ‬ ‫‪ْ J‬‬ ‫ ^ ‪ْ ،ْF‬‬ ‫ َ‪%‬آَ ‪ْ ْ َ ِ-‬‬ ‫! ِ ‪ َ" ْ4‬عْ ا‪َ 1‬‬ ‫ي ُ& ْ‬ ‫أ ‪0‬‬

‫ ‪. ُV‬‬ ‫ ْ‬ ‫ ‪ْ.‬دُو ا َ‪ َ ْ' ِ .َ 2ْ -ْ ُ ُ! ْ ِ 2ْ *ْ ، ْ# َ$‬دِي ْ ْ‬ ‫> َ ْ ْ‬ ‫‪ْ J‬‬ ‫‪َ P‬ة اّ‪ْ : َ1ْ ْ1‬‬ ‫‪ْ B‬‬ ‫ا‪ْ 1‬‬ ‫! ِ ‪.ْ# َ$َ ْ4‬‬ ‫ ّ)ْ‪ْ. ْ ِ 2ْ *ْ &ُQ‬رْ ُ دْ‪ $T‬دْ‪ $T‬ا‪ْ ُ 1‬‬ ‫> َ ْ‪ْ 5‬‬ ‫‪ْ J‬‬ ‫‪َ P‬ة |‪ْ : 91‬‬ ‫‪ْ B‬‬ ‫ا‪ْ 1‬‬ ‫ َ بْ‪.‬‬ ‫‪ْ 1ْ ُ-ْ%Y‬‬ ‫‪ ْ) ْ O‬وْا ْ] ْ َ" َ ‪ َ-‬شْ ْ ْ‬ ‫‪َ P‬ة |‪ &ُ ,ْ %ْ 5ْ : 91 91‬ا‪ َV ِ2 1‬تْ دْ*َ لْ ا ْ‬ ‫‪ْ B‬‬ ‫ا‪ْ 1‬‬

‫ &َة اّ ْ &ْ َ ‪:‬‬ ‫‪ْI‬‬ ‫ْ‪َ" ْ 5‬اوْ ْ‬ ‫ َ" ْ ْ‪ 6ْ ِ- ُ ْ 2‬ا ‪&ُF‬رْ‪َ% 01 ْ ْ) ِ5‬انْ "َ عْ ُآ َ‪%‬ةْ ا‪.َ Hَ 1‬مْ‪@ْ? ُ ْ ْ "ْ ْ.2ْ -ْ ْ'&ْ ،‬شْ‪.‬‬ ‫‪ ْ'&ْ َ ْ Vْ D‬ا‪ِ 1ّ ْO َ2َ 1‬‬ ‫هَ دْ َآِ َ ا َ‪ْ ْ# َ$‬‬

‫ ‪. َ&@َ2 1 َV‬‬ ‫‪ ْj ِ 5‬هِ ‪ْ ّْ1 ْ- ْ%‬‬ ‫ ‪ ُ ْ "َ ْ4‬نْ ْ‬ ‫‪َ P‬اتْ‪ ،‬ا‪ْ 1‬‬ ‫‪ْ B‬‬ ‫‪َ P‬ة وْ أ ْه‪ ْO‬ا‪ْ 1‬‬ ‫‪ْ J‬‬ ‫ أ ‪$‬ولْ ْ‬ ‫وْ ا‪ َD ْO َ2َ 1‬تْ ْ&'ْ ا ‪ِ ، َ Cَ$‬ه َ‬ ‫‪ْ.ّ R‬دْ َ شْ ا َ‪ ُ ْ "َ ْ# َ$‬ضْ ا‪ِْ%1‬و* َ ‪.‬‬ ‫ل &َ ْ‬ ‫‪ ْ.R‬ا‪ َ- ْ49َ 1‬شْ ْ" ْ ْ ُ ?ْ@شْ ِإ َ‬ ‫ َ دِي ْﯖ ‪ ْO ُ ِ1‬وَا ْ‬ ‫@‪:‬‬ ‫&َ‪ً 9‬‬ ‫ ّ ْلْ َآِ) ‪ ْ#‬وْ ْ "ْ ْ "ِ َ وْ ﯕ لْ ‪: 6ْ ِ1‬‬ ‫ ‪ $P‬ا‪َ% ْ 1‬انْ‪ْ ،‬‬ ‫? َ= َ& ْ‬ ‫ ِ ْ ُ َآ َ لْ َ" ْ‪ْ ْ ّْH‬‬ ‫ ِ) ‪ْ ،ْm‬‬ ‫‪ْ ْ4D‬‬ ‫‪ ْ.R‬ا‪$%1‬ا ْ‬ ‫هَ دَا وَا ْ‬ ‫* ا ْ‪َ)%‬انْ ؟‬ ‫? َ كْ أ‪ َD ْ' ِ َ* ُJ‬تْ َ ْ‬ ‫َ‬ ‫‪َ%B‬ى ِ !َ نْ‪.‬‬ ‫‪ْ 1 Qَ &ْ p‬‬ ‫‪ ْm*%ِP‬وْ ْ&'ْ ْ‪ْ ْ ]ْ ْ ْ.2ْ -‬‬ ‫‪ْ%B‬جْ ْ&'ْ هَ دْ ا‪ّْ 1‬‬ ‫‪ D‬و‪َ -‬آِ) ‪ ْ#‬وْ ﯕ لْ ‪ ُK‬فْ | ِ ‪ِ.‬ي‪ َ ،‬دِي ْ" ْ‬ ‫‪.ْ. ِ R‬‬ ‫ ِ ْ ُ َ‬ ‫‪ْ ْ%J‬‬ ‫‪ْ | ْ.R‬‬ ‫‪ ْ4D‬وَا ْ‬ ‫ ّ ْلْ رَا ْ‬ ‫!ِ *َ وْ ْ‬ ‫‪ ْ.R‬ا‪ْ 1‬‬ ‫‪ =َ!&ْ ، َDْ%B‬وَا ْ‬ ‫‪ْ 1 ْ t‬‬ ‫ ْ ْ‬ ‫َو ‪َ ْ' ِ 1‬آ َ لْ ْ‬ ‫* ا ْ‪َ)%‬انْ ؟‬ ‫? َ كْ أ‪ َD ْ' ِ َ* ُJ‬تْ َ ْ‬ ‫َ‬ ‫‪َ%B‬ى ِ !َ نْ‪.‬‬ ‫ ْ \ْ ْ& َ‪ْ 1 Q‬‬ ‫‪ ْm*%ِP‬وْ ْ&'ْ ْ‪ْ ْ ْ.2ْ -‬‬ ‫‪ْ%B‬جْ ْ&'ْ هَ دْ ا‪ّْ 1‬‬ ‫‪ ْ" ِ /‬وْ ﯕ لْ ‪ ُK‬فْ | ِ ‪ِ.‬ي‪ َ ،‬دِي ْ" ْ‬ ‫‪ َD‬وْ‪َ ُ-‬‬ ‫ ْ \ْ‪ َ<ْ- ،‬وْ ْ* ْدرُو ِ ‪ َ -ْ ، ِ َ2 ْ-‬لْ ا‪!! ْ' ِl َ-ْ%1‬‬ ‫‪ْ ْ ْ%J‬‬ ‫‪ p‬وْ ا ْ‬ ‫‪ْ* َ" ْ.R‬ﯖ ول ِ‪ْ ْ ]ْ ْ َ 1‬‬ ‫‪ ْ /‬وْ ﯕ لْ وَا‪ ْF‬وَا ْ‬ ‫َآ َ لْ ْ" ْ‪ّْ 2‬‬ ‫‪ Qَ &َ ،ْ6 ِ َ ْ ِ 1 َR ْ. ِ R‬أ‪ 6ُ $‬ﯕ عْ &َ َ" ْ ْ‪.ْF ُ ْ%2‬‬ ‫‪َ%Y‬ة‪ َ ،‬دِي *ْﯖ لْ هَ دْ َآِ‪ ْO*%‬وْ َ‬ ‫ ْ ‪ ْQ‬هَ دْ َآ َ لْ "َ *ْﯖ لْ هَ دْ ‪ْ ْ 1‬‬ ‫‪ْ 01‬‬ ‫‪ َ-/‬بْ ِ 'ْ وَاﯕ ِ 'ْ‪.‬‬ ‫‪َ /‬ابْ ‪ْ 0 ْ1‬‬ ‫? ِ‪ُ 6ْ ِ ْKF‬ه َ& &َ ‪ ُ ِ ِK‬مْ‪ُ ْh ِR ،‬ه َ َ" ْ ْ‪ ْ ِP2‬ا‪َ 1‬‬ ‫‪َ ْu ْ ْ ْ َ& 01‬آ َ لْ ُه َ أ‪ْ ُ 6ُ $‬‬ ‫ل ا َ‪.ْ# َ$‬‬ ‫ ا‪ َ&@َ21‬وْ ‪$‬‬ ‫‪ َ R‬بْ ِ 'ْ وَاﯕ ِ 'ْ ِه َ‬ ‫هَ دِ*‪ْ = ْ? ْZ‬‬ ‫ ّ ْلْ ?ْ@شْ َ" ْ ْ‪.ْ ّْH‬‬ ‫‪ َ? ، َ ِ L‬دْ ْ‬ ‫ ْ ّْ ‪َ ْ 01 َBCْ ْL‬‬ ‫ ّ ْلْ ْ‪َ.2ْ -‬ا ْ‬ ‫‪ْ "ْ ْZ5‬‬ ‫ ّ ْلْ ‪ّْ َJ‬‬ ‫ل ْ‪ْ "ْ ِ ِ<-‬‬ ‫دَا ْآ!ِ ?ْ@شْ‪ ،‬إ َ‬ ‫? َ= ِ 'ْ ‪. ِ! ْ "ْ ِ ِ-‬‬ ‫‪ َ? َ ِ L‬دْ ْ" ْ‪ْ ْ ّْH‬‬ ‫‪َ ْ 01 َ5@ْV1 ْ# ّْ$ْ ْ ْZ5‬‬ ‫‪ّْ َJ ، َP*%ِB‬‬ ‫! ِ ‪َ 1 ْ ْ4‬‬ ‫ْ ْ‪ ْo‬ا‪ْ ُ 1‬‬ ‫? َ= ا‪!! ْ' ِl َ-ْ%1‬‬ ‫‪ْ. ّْR‬تْ ا‪ْ َ ْ ^1‬‬ ‫هَ ذاكْ ا‪@ْ2 ّْ1‬مْ ُه َ ا َ‪ِ ،ْ# َ$‬إ َو هَ ِ ْ‪ْ .َ 2ْ -‬‬ ‫! ِ ‪ ْ4‬دْ*َ ‪. َ 1‬‬ ‫‪ َ -ْ ُ&ْ.B‬دْ‪ْ ُ 1 ْ ِK‬‬ ‫أ‪ ِD‬دَا‪ ُ ُ! ْ َ-‬آِ َ شْ َ دِي ْ ْ‬

‫‪َ P‬ة‪.‬‬ ‫‪ْ B‬‬ ‫ َ كْ هَ دْ ا‪ْ 1‬‬ ‫‪ َ ْp ْ ْ%P‬دِي ْ* ْ ْ ُ دْ ْ‬ ‫! ْ‬ ‫? ْ ‪ْ.‬هُ مْ ْ& َ‪ Q‬ا‪ْ 1‬‬ ‫ا‪ $ 1‬سْ ‪ْ 01‬‬ ‫‪ َ 5‬ا ‪ َ- ْc ِ$‬شْ ْ !ُ ُ وْ ُ&جْ "َ عْ ا *َ َ تْ‪.‬‬ ‫* )آَ ‪ْ َJ ،‬‬ ‫ ‪ْ 0‬هَ ُ َ‪ْ %‬‬ ‫ل ْ‪ْ ْ َD َR ِK ُ ّْ2ْ ْ َ ِ<-‬‬ ‫إَ‬ ‫‪.ْ\r‬‬ ‫ل ُ& ْ‬ ‫ ْ ُ& ْ ‪ ْq‬وْ ّ‬ ‫ ‪ْ 0‬هُ مْ ا‪َ%Vّ2ْ 1‬اتْ‪ُ%Vْ 2ْ ْ "َ 01 ِ 2ْ *ْ ،‬و ‪ِ 01 َ5@ْV1 ْO ُ ِ-‬ه َ‬ ‫هَ دُوكْ ا‪ َD َ 1‬تْ َ دِي ْ ْ‬ ‫‪َ%Y‬ة ‪ َ-‬شْ ْ ْ ُ آْ‪: ْ%9‬‬ ‫ ُ هَ دْ ا‪ْ ْ 1‬‬ ‫ دي ْ ‪ْ ْ%‬‬

‫> َ= ُ َ‪&َ %‬اِزي ا‪Cْr6‬عْ ‪.‬‬ ‫ )ُو‪ َ -ِ %َ 2َ 1 ْ- ، َQ‬ا‪ْ ُ 1‬‬ ‫‪ َ" ْ4 ْ K‬عْ ُ َ‪&َ %‬اِزي ا ْ‬ ‫‪ُ OIJA‬ه َ ْ‬ ‫‪َ%Y‬ة‪.‬‬ ‫‪ْ B‬‬ ‫! ْ ‪ َD ْ4‬يْ ْ&'ْ ا ِ َانْ "َ عْ &ُ لْ ‪ْ 1‬‬ ‫‪ُ%P‬و َ هِ ‪ ْ%‬هَ آ‪ $‬كْ‪ ،‬هَ دْ ا‪ْ 1‬‬ ‫‪ َ J‬رْ ْ"‪ َ َ &ُ ْu‬اِزي ا‪ّ 1‬‬ ‫&َ ْ‬ ‫! ْ ‪ ْ'&ْ ْ4‬ا‪َ+ ِ 1‬انْ‪.‬‬ ‫‪ ُDْ%B‬هَ دْ ا‪ْ 1‬‬ ‫‪ُ%Y‬و ِ َ ?ْ = ا ِ َانْ‪ َ ،‬دِي ْ"!ُ ُ آِ َ شْ َ" ْ ْ‬ ‫ ْ ‪ َ ّ1ِ َH ْ 1‬دِي ْ ْ ْ‬ ‫‪&ُ 1‬دْ‪.‬‬ ‫ُ َ‪&َ %‬اِزي ُه َ ا ْ‪ ْVFْ $‬دْ*َ لْ ْ‬

‫ط ‪ OI‬وْ ‪.OJ‬‬ ‫‪َ ُPB‬‬ ‫ ِ‪%‬آَ َ" ْ ْ‪ َ ,ْ ْ ْF ُ ْ 2‬سْ ْ‪َ) ْ $‬اتْ‪ ،‬وْ ْ ْ‪&َ %‬اِزي ‪ْ 1‬‬ ‫‪ ْ\r‬دْ*َ لْ ا‪َ َ ُ 1‬‬ ‫ي ُ& ْ‬ ‫وْ ْ&'ْ ْه َ َ دِي ْ*‪ َV‬نْ ‪ ْO ُ ِ1‬أ‪ 6ُ $‬أ ‪0‬‬

‫ ِ‪%‬آَ ‪:‬‬ ‫‪ ْ%J‬دْ*َ لْ ا‪ َD َ 1‬ا‪َ َ ُ 1‬‬ ‫هَ ُه َ &ِ‪ 9‬لْ ُ& ْ ‪ْ | ْq‬‬

‫> َ= ‪ ُD‬جْ "َ عْ ا‪ َ$ ْ 6‬دْ‪.‬‬ ‫ &َاوْلْ ‪ َ -ِ %َ 2َ 1 ْ-‬ا‪ْ ُ 1‬‬ ‫ ‪ ُ/1 َV‬جْ "َ عْ ا ْ‬ ‫‪ ْ2 ِVP‬ا‪ َ 1‬لْ هَ دْ ا‪ ْ% ِ ْ ْ 1‬هِ ‪ْ ّْ1 ْ- ْ%‬‬ ‫ْ‪َ -‬‬ ‫ &َاوْلْ ‪:‬‬ ‫‪ ْ.R‬ا‪ َ- ْ49َ 1‬شْ ْ" ْ ْ ُ هَ دْ ا‪ َ" َV ِ2 1‬عْ ا ْ‬ ‫ ‪َ - ْ%‬ا ْ‬ ‫ َ دِي ْ ّْ‬ ‫> َ ْ&'ْ ِ& ْ ‪ُ%‬و‪.‬‬ ‫‪ْ J‬‬ ‫‪ َ K‬لْ ْ‬ ‫> َ ْ ْ‪ُ%Vْ 2‬و ا ْ‪ْ)$‬ضْ "َ عْ ‪ َT‬عْ ا‪$.1‬ارْ ‪ َ-‬شْ ْ ْ‪ْ ُ ْ%2‬‬ ‫‪ْ J‬‬ ‫‪ َ- ْ ْ ِK َ *%ِK‬شْ ْ ‪ 6ْ ِ H ْ2‬ا‪ْ ،ْ% ِ! ْ 1‬‬ ‫ل ْ‬ ‫ِإ َ‬ ‫‪$ l‬ا‪.

1‬‬ ‫ل ْ‬ ‫‪ p‬وْ ‪$‬‬ ‫‪ْa‬‬ ‫? ِ‪ َ ْKF‬عْ ْ‬ ‫ ‪ْ ُ ْFْ 0‬‬ ‫‪َ"/‬ة‪ْ ْ "َ ،‬‬ ‫ & ا وْ ْ‬ ‫> َ ْ ْ‪ُ%Vْ 2‬و هِ ‪ْ ْ%‬‬ ‫‪ْ J‬‬ ‫! ِ ‪ْ ْ4‬‬ ‫ ُ هَ دْ ‪ْ ُ 1‬‬ ‫ْ* ْ‪ َ- ِ 2‬شْ ْ ْ‬ ‫‪ ُH ْ2 ْ َ ِ- 01 t‬هَ ِ ْ‪.6‬‬ ‫> َ ْ ْ‪ُ%Vْ 2‬وا ‪&W‬لْ و ا ْ‪ْ)$‬ضْ "َ عْ ا‪ْ ِ 1‬‬ ‫‪ْ J‬‬ ‫ ُ ِ ‪ْ ،‬‬ ‫‪&W B‬رَة ‪ َ-‬شْ ْ ‪ْ ْ%‬‬ ‫‪ْ َ *%ِK‬‬ ‫ل دا‪ْ -‬‬ ‫ِإ َ‬ ‫ َ حْ‪.‬‬‫? ِ‪ َ ْKF‬عْ ا ْ‬ ‫ ‪ْ ُ ْFْ 0‬‬ ‫ &َاوْلْ‪ْ ْ "َ ،‬‬ ‫> َ ْ ْ‪ُ%Vْ 2‬و ُ&جْ َ عْ ا ْ‬ ‫‪ْ J‬‬ ‫! ِ ‪ْ ْ4‬‬ ‫ ُ هَ دْ ‪ْ ُ 1‬‬ ‫ْ* ْ‪ َ- ِ 2‬شْ ْ ْ‬ ‫ ‪. َ ِ ْF ^P‬‬ ‫> َ ْ ْ‪ُ%Vْ 2‬وا ‪&W‬لْ و ا ْ‪ْ)$‬ضْ وا ْ<)ْقْ " ع ‪ َ 01 َ5@ْV1‬دِي ْ ْ‬ ‫‪ْ J‬‬ ‫‪ َ َ *%ِK‬رْ ُ&‪ْ ،‬‬ ‫ل دا‪ْ -‬‬ ‫ِإ َ‬ ‫ &َاوْلْ‪.‬‬ ‫! ِ ‪ ْ4‬دْ*َ لْ [‪ َ [C‬عْ ا ْ‬ ‫ ‪ْ &ُ ْFْ 0‬‬ ‫‪َ P‬اوْلْ‪ْ ْ "َ ،‬‬ ‫> َ ْ ْ‪ُ%Vْ 2‬و ‪ َ" n@n‬عْ ا‪ْ 1‬‬ ‫‪ْ J‬‬ ‫! ِ ‪ْ ْ4‬‬ ‫ ُ هَ دْ ‪ْ ُ 1‬‬ ‫ْ* ْ‪ َ- ِ 2‬شْ ْ ْ‬ ‫ &َاوْلْ‪.‬‬ ‫‪ ُ&ْ.B‬هِ ‪&ُO ْ ْ%‬جْ َ عْ ا ْ‬ ‫> َ= &ُ! ِ ‪ [C[ ْ4‬ا‪ َ$ ْ 6‬دْ‪ ،‬وَ‪ ْ' ِ 1‬هِ ‪ $ ْ "ْ ْ%‬وْ ‪ َ ْh ِR‬دِي ْ ْ‬ ‫ْ ‪ َ -ِ %َ 2َ 1‬ا‪ْ ُ 1‬‬‫‪َ P‬اوْلْ‪&ُ ِ 2ْ *ْ ،‬جْ َ عْ ا ْ‪َ) ْ $‬اتْ‪.‬‬ ‫‪ ُ/- ُ&ْ.B‬جْ "َ عْ ا‪ْ 1‬‬ ‫ ^ هُ مْ َ دِي ْ ْ‬ ‫ﯕ عْ ا‪ِ !َ 1‬آ‪ َ 01 ْ4‬دِي ْ ْ‬ ‫ ‪ ْ 0‬هَ دُوكْ ا‪َ%Vْ 2ْ 1‬اتْ ‪ X‬وْ ‪.Y‬‬ ‫ َ دِي ْ ْ‬ ‫ط ‪ OX‬وْ ‪.c " $% OY‬‬ ‫‪َ ُPB‬‬ ‫‪ُ.J‬و ا‪ْ 1‬‬ ‫! ِ ‪ َ ْ4‬دِي َ ْ‬ ‫ ّْ ‪ ْ4‬ا‪ْ ُ 1‬‬ ‫وْ‪ َ-‬شْ ْ ْ‬ ‫ ِوي ‪.Y‬‬‫‪ُ.J‬و ْ ْ‪ْ",ْ ْo‬رْ ‪َ%Vْ 2ْ 1‬اتْ‪َ ْ َ X ِ 2ْ *ْ ،‬‬ ‫! ِ ‪ َ ْ4‬دِي َ ْ‬ ‫ ّْ ‪ ْ4‬ا‪ْ ُ 1‬‬ ‫وْ‪ َ-‬شْ ْ ِ‪ْ ْ ْ.*+‬‬

‫ ُ هَ دْ ‪ َ ، ِK‬دِي ْ* ْ‪: َ ِP2‬‬ ‫ل دَا‪ْ ْ% ْ َ ِ- َ-‬‬ ‫ِإ َ‬

‫> َ= ا ‪ # $‬ا ‪ " $%‬ا ‪.#E‬‬ ‫ ‪ ْFْ 0‬ا ‪ ْ# َ$‬ا ْ ْ‪ ْ" ْ َ$%‬ا ْ ْ‪&ُ $‬رْ‪ َ -ِ %َ 2َ 1 ْ- ،‬ا‪ْ ُ 1‬‬ ‫هَ دْ ا‪ َ ْO َ21‬دِي ْ ْ‬ ‫ط ‪ OX‬وْ ‪: ْ& ِ $ْ ْ َ OY‬‬ ‫‪َ ُPB‬‬ ‫هَ دُوكْ ا‪:‬رْ‪ T‬مْ ‪ْ 1 ْ ْ' ِ- ُ ْ &ْ 01‬‬ ‫? ْ‪َ%V‬اتْ "َ عْ ‪.... X‬وِْز*‪ ْ.‬وِْز*‪. ْ.‬‬ ‫? ْ‪َ%V‬اتْ "َ عْ ‪ 3 ،X‬دْ*َ لْ ْ‬ ‫‪َ"/‬ة "َ عْ ‪ْ 2 ،X‬‬ ‫? ْ‪َ%V‬ة وْ ْ‬ ‫ْ‬ ‫? ْ‪َ%V‬اتْ "َ عْ ‪.... Y‬وِْز*‪ ْ.‬وِْز*‪.ْ.‬‬ ‫? ْ‪َ%V‬اتْ "َ عْ ‪ 3 ،Y‬دْ*َ لْ ْ‬ ‫‪َ"/‬ة "َ عْ ‪ْ 2 ،Y‬‬ ‫? ْ‪َ%V‬ة وْ ْ‬ ‫ْ‬ ‫‪$+-ْ ْ.J‬افْ "َ عْ ‪ ُV ْ ْ ْ "َ َ *ِ.-ْ ، َ5@ْV1‬هِ ‪ ْ%‬ا‪:‬رْ‪ َT‬مْ‪.‬‬ ‫ْ& ‪ 0‬هَ دْ ا‪ْ َ "َ َV ْ ْ 1‬‬ ‫‪َ P‬ة "َ عْ ا‪ َ ، َ&@َ21‬دِي دَا‪ ُ !ْ َ-‬أشْ ْ ْ‪ْ.H‬رُو ْ ‪ُ%*ِ.‬و ْ‪ َ -‬دْ ا‪.ْO َ2َ 1‬‬ ‫‪ْ B‬‬ ‫إو دَا‪ َ 0Y ْ َ-‬هَ دْ ا‪ْ 1‬‬ ‫ &َة ا ‪: َ 5ْ o‬‬ ‫‪ْI‬‬ ‫ْ‪ُ"5‬وزُو ْ‬ ‫?‪َ%‬ة‪.‬‬ ‫‪ ْ.R‬ا‪ َV ِ2 1‬وَا ْ‬ ‫? َ= وَا ْ‬ ‫? ْ‪ْ ْL ْ H‬‬ ‫?‪ ، ِ ِF‬وْ ْ‬ ‫‪ َ J‬رْتْ أ‪ ْO ْ2 ْ ْ ِ $‬ا ْ ‪ ْc‬ا ّْ‪ْ %‬‬ ‫‪َ% ْ ْ ْ./‬ا ْآ‪ْ ْu‬‬ ‫?‪َ.‬ادْ*َ ا‪ْ ْ 1‬‬ ‫‪ْ ْh ِR‬آ ْ ‪ْ ِ ْ ْL‬‬ ‫‪َ.R‬ة‪.‬‬ ‫ ‪ ْO‬ا‪ ^>1‬رَة دْ‪ $T‬وْ ْ‬ ‫‪ ،ْ.R‬ﯕ ‪ Qَ &ْ L‬رَا ِ أ َر ْ ‪ْ ْ%‬‬ ‫ ُ ا‪ ^>1‬رَة "َ عْ ‪ ِK‬وَا ْ‬ ‫ َ ذَة رْ ْ‬ ‫ﯕ ‪ َ ِ1 ْL1‬ا‪ْ :‬‬ ‫‪. َ ِD‬‬ ‫ ْ ْ َ ْ‪ْ ْ%-‬‬ ‫ل رْ ْ‬ ‫‪ ْ.R‬ا‪ ^>1‬رَة &َ ِ َ &َ ْ* ْ !َ فْ‪$ َ -ْ ،‬‬ ‫ ‪ ْO‬وَا ْ‬ ‫أوَا َ ْ ‪ْ ْ%‬‬ ‫ ُ ا‪ ^>1‬رَة ‪$+Vْ 1‬افْ "َ عْ ا‪ َ> ّْ1‬وْرْ‪.‬‬ ‫> ُ مْ ْ" ْ‪ْ H‬‬ ‫‪ْ J‬‬ ‫ )َافْ‪ ،‬ﯕ ‪ْ َ ِ1 ْL1‬‬ ‫ ْ" ْ‪ َ ْ ّْ2‬ا‪ 9ْ :‬ذَة ا‪ َ" َV2ْ 1‬عْ ا ّْ‪ْ %‬‬ ‫ِه َ‬

‫! ْ ‪: ْ4‬‬ ‫>ِ *‪َ%‬ة ْ‪ َ -‬دْ ا‪ْ 1‬‬ ‫ ُ ا‪ْ ّْ1‬‬ ‫ْ* ْ‪ّْ Hْ ْ ِ 2‬‬

‫ ُ ‪.‬‬ ‫‪ُ =$ R‬ه َ ا‪ْ ْ%*ْ َ& ْ4Vْ Tْ ْO َ2َ 1‬‬ ‫ ُ ْ‬ ‫?‪ْ ْ% ْ "َ ِ ِF‬‬ ‫‪ َ 5‬بْ ا ْ ‪ ْc‬ا ّْ‪ْ %‬‬ ‫ َ دِي ْ*‪ َV‬نْ ‪ ُ ِ1‬مْ أ‪ْ 6ُ $‬‬ ‫‪ُ%P‬و َ َ" ْ ْ‪ ْZ ِP2‬ا‪ ^>1‬رَة‪.‬‬ ‫‪ ِ 2ْ ْ D‬ا‪ّْ 1‬‬ ‫‪ْ 4‬‬ ‫‪ُ.R‬و‪ ،‬و* َ‬ ‫‪ْ%l‬فْ ‪ْ ُ-‬‬ ‫‪ْ 4‬‬ ‫ ُ ُآ ‪$‬‬ ‫وْ ْ&'ْ ْ‪ْ ْ% ْ "َ ْ.2ْ -‬‬ ‫‪. َ ِ- ُ&ْ.B‬‬ ‫ ‪ َ 01‬دِي ْ ْ‬ ‫?‪ِ ِ ِF‬ه َ‬ ‫‪ َ 5‬بْ ا ْ ‪ ْc‬ا ّْ‪ْ %‬‬ ‫هَ دْ ا‪ َ ِ Hْ 01‬دْ*َ لْ ْ‬ ‫‪ ،ْ4D‬وْ ﯕ ْ ْ ِ ُ ‪ ْO‬أ‪: 6ُ $‬‬ ‫‪ ْ.R‬ا‪$%1‬ا ْ‬ ‫ ْ ُ& ْ ‪ ْq‬دْ*َ لْ وَا ْ‬ ‫? ْ ُ ِ‪َ 1‬‬ ‫ل ﯕ ْ ‪ْ ْO ُ ِ1 ْL‬‬ ‫دَا‪ َ-‬إ َ‬

‫وَا ْ‪&ُ = ْ? ْwT‬جْ ْ? ْ‪َ%V‬اتْ ‪ x ْ ِD‬وْ [‪ [C‬ا‪َ%Vْ 2ْ 1‬اتْ ‪.y ْ ِD‬‬

‫‪: ْ4D‬‬ ‫ )ُو‪ َ- َQ‬شْ ْ ْ ‪ َH‬وْ ُ& ْ ‪ َ" ْq‬عْ ا‪$%1‬ا ْ‬ ‫> َ ‪ ُD‬جْ "َ عْ ا ْ‬ ‫‪ْ J‬‬ ‫ْ* ْ‪ْ ِ 2‬‬ ‫? ْ‪َ%V‬اتْ‪.‬‬ ‫‪ْ 2 6ْ ِ َ-1‬‬ ‫‪ْ%P‬فْ ْ&'ْ ا‪ َ 0/1‬ا ْ‬ ‫ا‪ّْ 1‬‬ ‫? ْ‪َ%V‬اتْ‪.‬‬ ‫‪ْ%P‬فْ ْ&'ْ ا‪ َ 0/1‬ا &َا ْ َ ِ ْ‪ْ 3 6‬‬ ‫ا‪ّْ 1‬‬

‫‪ 2 َ-1‬وْا &َا ْ َ ‪.3‬‬ ‫‪ْ ْ ْ4D‬‬ ‫َ شْ ْ ْ‪ َ َV ْ ْ 1 ُ ْ H‬دِي ْﯖ ‪ ُ ْ 2ْ ْ "َ ُ1‬ا‪$%1‬ا ْ‬‫ ‪:‬‬ ‫ )ُو‪ َ َQ‬دِي ْ ْ ْ ُ‬ ‫ل ‪ ُV ْ ْ ْ َ ِD‬هَ دْ‪ّْ ْ ِK‬‬ ‫ِإ َ‬ ‫‪ OAx َ-1‬وْا &َا ْ َ ‪.OAy‬‬ ‫‪ْ ْ A ْ4D‬‬ ‫َ" ْ ْ‪ َ" ْq ْ &ُ ُ ْ 2‬عْ ا‪$%1‬ا ْ‬ ‫* َ"ثْ‪.‬‬ ‫‪َ"/‬ا ِ[ َ ثْ‪ َD ،‬تْ ْ&'ْ ا َ‬ ‫> َ= ا‪ْ u‬‬ ‫ ‪ْ 0‬هُ مْ ‪ َ -ِ %َ21 ْ-‬ا‪ْ ُ 1‬‬ ‫ )ُو‪ْ ْ "َ َQ‬‬ ‫هَ دُوكْ ا ّْ‬ ‫‪َ.R‬ا‪.OAy ِn‬‬ ‫‪َ.R‬ا‪ OAx ِn‬وَا~ ْ‬ ‫‪ ْ /‬ا~ ْ‬ ‫‪َ.R‬اثْ ‪ِ *َ A‬‬ ‫َ* ْ‪ْ ~ ِ 2‬‬ ‫ ْ ْ‪ ُ ْ 2‬هُ مْ ْ َ دْ ا‪.=َ 2ْ ْ 1‬‬ ‫ َ‪%‬آَ َ دِي ْ ْ‬ ‫ )ُو‪َ 1 ْ 6ُ $: َQ‬‬ ‫ ‪ ُ ْ 0‬مْ ا ّْ‬ ‫أ َ ْ‬ ‫> ْ‪.ْ%V‬‬ ‫ ‪ $‬مْ هِ ‪ ْ%‬ا‪ّْ 1‬‬ ‫‪ْ 1 ْ" َ- $ P‬‬ ‫ل ‪ $ ِ- َ& ، ُ ُ!"ْ ُ ِD‬وْ‪ ْ' ِ-‬ا‪ّْ 1‬‬ ‫ِإ َ‬ ‫‪َ"/‬ة‪.‬‬ ‫ ‪ ْ"Qْ َ ِ1 ْ4‬وْ ْ‬ ‫ل ?َ ْ* َ ‪َ ِ!&َ ،‬آ ْ ْ< ْ‬ ‫ ‪َ%&ْ ِ!1ْ ْ4‬ة وْ ‪$‬‬ ‫‪ْ <ْ "ْ َ- $ P‬‬ ‫ل ْ‪ َ<-‬تْ ا‪ّْ 1‬‬ ‫‪ِ ْh ِR‬إ َ‬ ‫ )ْ‪.ْ &ُQ‬‬ ‫‪ْ 5ْ َ 9‬‬ ‫‪ْ a‬‬ ‫ َ‪%‬آَ ْ‬ ‫! ِ ‪َ 1 ْ ْ4‬‬ ‫ ^ ‪ْ &ُ ِK‬‬ ‫ل ْ‪ْ ْ َ ِ<-‬‬ ‫‪ِ َ R‬إ َ‬ ‫‪ْ =$ R‬‬ ‫ )ْ ْ‪ْ ، َ]Q‬‬ ‫> َ َ ّْ‬ ‫‪ْ J‬‬ ‫َ" ْﯖ ‪a َ 2ْ 1 ُ1‬تْ ْ‬ ‫*‪ َ-‬بْ‪.‬‬ ‫ )َافْ‪ُ. ْ ،‬وزُو اّْ ْ‬ ‫‪َ P‬ة "َ عْ ا ّْ‪ْ %‬‬ ‫‪ْ B‬‬ ‫ل ْ ْ ْ ُ ْ&‪ َ*ْ+‬نْ هَ دْ ا‪ْ 1‬‬ ‫دَا‪ِ َ-‬إ َ‬ ‫ ْ ْ‪$+-ْ ُ ْ 2‬افْ‪.‬‬ ‫? َ= ا‪ َT@َ21‬تْ "َ عْ ا ُ‪ُ ْh ِR ،v o‬ه َ ‪ْ ْ "َ 01‬‬ ‫‪ُ%Y‬و هِ ‪ْ ْ%‬‬ ‫ َ دِي ْ ْ ْ‬

‫‪ َ Cَ1‬تْ ا ُ‪&ُ $ْ ْv o‬دْ‬ ‫ل ُ َ) \ْ‪.‬‬ ‫ َ‪ ْK ِ %‬وْ ‪$‬‬‫ ُ ُ ْ‬ ‫> َ ْ ‪ْ ْ%‬‬ ‫‪ْ J‬‬ ‫ ُ ُ& ْ ‪ َ" ْq‬عْ ‪ْ َD َR ِK‬‬ ‫ (ُ ْ&‪ َ* َ2‬أ‪ َ- 6ُ $‬شْ ْ ‪ْ ْ%‬‬ ‫‪ْ1‬‬

‫ل ُ& َ‪&ُO ْQ-$%‬جْ "َ عْ ا ُ‪ [Co‬ثْ‪.‬‬ ‫ َ ‪ ْ4 ِP‬وْ ‪$‬‬ ‫ي ُ& ْ‬ ‫ ُ أ ‪0‬‬ ‫ (ُ ْ&‪ َ* َ2‬أ‪ْ.Hْ ْ 6ُ $‬رُو ْ ْ‪ْ H‬‬ ‫‪ْ1‬‬ ‫‪: َ َِ B‬‬ ‫‪ِ &ُ9I‬‬ ‫‪ ْ.R‬ا ُ‬ ‫? ْ ‪ْ.‬هُ مْ وَا ْ‬ ‫ي &ُ‪ n@9‬ث‪ ،‬هَ دْ ا‪ n@9ُ 1‬ث ْ‬ ‫وْ َ&!ِ أ ‪0‬‬ ‫‪ُ%l‬و َ ْ ْ‪.ْc ِ" ْ َ$%‬‬ ‫أ‪ َ>&ْ ْO ُ $‬وْ‪ ُD ْ'&ْ ْ' ِ-‬جْ ْ‬ ‫> َ= ‪ ْ#Tِ َ v o‬ا اِو َ ‪.‬‬ ‫‪&ُ 1‬دْ ‪ْ ُ 1 ْ-‬‬ ‫ ‪ْ v oُ ْFْ 0‬‬ ‫هَ دْ ا‪ ^ 1‬عْ "َ عْ ا‪ n@9ُ 1‬ث َ" ْ ْ‬

‫‪&ُ 1‬دْ ‪:‬‬ ‫‪ ْ.R‬ا ُ‪ْ ْv o‬‬ ‫ ُ ْ‪ .َ 2ْ -‬وَا ْ‬ ‫ْ ‪ْ ْ%‬‬

‫ ُ‪.‬وِر*َ ‪:‬‬ ‫‪ = ْ? َ ْ%Y‬ا‪ْ 1‬‬ ‫ ‪ْ ْh ِR َ ِH1 َ ْ ْ 01‬ه ْ‬ ‫ا‪ َT@َ21‬ا‪ِ َ1ْ 1‬ه َ‬

‫ل ا اِو َ ‪.‬‬ ‫ل ْ‪ ْQ-$ْ% ُ 1‬وْ ‪$‬‬ ‫ َ ‪ ْ4 ِP‬وْ ّ‬ ‫ ‪ْ 0‬هَ ا ّْ‪ َ %‬مْ دْ*َ لْ ‪ْ ُ 1‬‬ ‫ ‪َ 01‬آ ْ ْ‬ ‫ا‪ َT@َ21‬ا‪ِ َ ْ 91‬ه َ‬ ‫ ‪@ْ? ْO ُ ِ1 ْ%‬شْ‪ ْh ِR ،‬هَ دْ ا‪ َT@َ21‬هِ ‪ ْ%‬ا‪ َ" َVTِ َ21‬عْ ا ‪&ُ -‬سْ‪.‬‬ ‫ َ دِي ْ ْ ّْ‬ ‫‪ُ%P‬و َ ‪ ،‬وْ ْ&'ْ ْ‪ ْ.2ْ -‬؟‬ ‫? َ= [‪ َ" [C‬عْ ا‪ْ 1‬‬ ‫ ُ ‪ْ ْF‬‬ ‫‪ ُJ‬دُو ‪&ُ1 ِK‬دْ وْ ْ‪ْ T‬‬

‫"ُودْ‪.‬‬‫! ْ ‪ْ ْ ْ4‬‬ ‫‪ ْ.R‬ا‪ْ 1‬‬ ‫‪ُ%P‬و َ وَا ْ‬ ‫ َ دِي ْ">َ وْ‪ّ 1 ْ- ُ-‬‬

‫‪ ْ4 ْ K‬وَا‪ُ ْ.ْR‬ه َ ‪ َ>"ْ ْ' ْ ْ *ْ 01‬وْ‪ُ 01 ْF ُ-‬ه َ ا‪.h 9ُ 1‬‬ ‫ َ دِي ْ*‪ َV‬نْ ‪ Oُ ِ1‬أ‪ْ 6ُ $‬‬ ‫‪ُ%P‬و َ ‪.‬‬ ‫ ‪ َ>&ْ 6ُ $: v o ْF َ ِ 0‬وْبْ ْ&'ْ [‪ َ" [C‬عْ ا‪ْ 1‬‬ ‫وْدَا ْآ!ِ ?ْ@شْ ﯕ عْ ْ‬

‫> َ= ا‪: َ Hَ ْ ِ 1‬‬ ‫‪ ْ.R‬ا ْ ‪ْ ُ 1 ْ- ,‬‬ ‫ ُ &ُ‪ h 9‬آِ ‪ $& ْw‬آَ نْ ْ ْرْ‪ ، َT‬وْ‪ ُJ‬دُو وَا ْ‬ ‫دَا‪ َ-‬رْ ْ‬

‫ت ُه َ ‪ 180‬دْرْ‪. َD‬‬ ‫‪ ُ /‬عْ "َ عْ ا ْ‪َ &ُ ,‬‬ ‫ل زَاوْ*َ ْ ‪ َ ،h 9ُ 1‬دِي ْ" ْ ‪ َH‬وْ ا‪ْ ْ 1‬‬ ‫‪ ْ: ْ ْ 4‬وْ ‪$‬‬ ‫? ْ‪ُ%V‬و ُآ ‪$‬‬ ‫وْدَا‪ْ َ-‬‬ ‫ ُ هَ ‪ َU َ& ِ2ْ *ْ ،‬عْ وَا‪. ُ1‬‬ ‫ ا‪$+1‬اوْ*َ دْ*َ لْ ‪&ُ $‬دْ ْ‪ْ Hْ ْ َ& ْ4Vْ T‬‬ ‫‪َ 180‬د َر‪ِ َD‬ه َ‬ ‫هَ آِ َ شْ َ" ْ ْ‪ُ%Vْ 2‬و ا اوْ َ وْ ‪$‬‬ ‫ل ا ْ‪: ْ: ْ ,‬‬

‫ل ا‪ 40 6ْ ِ ْL ْ Hْ 1‬دْرْ‪ َD‬‬ ‫&‪ @َ9‬ا اوْ َ وْ ‪$‬‬ ‫ ‪ 90‬دْرْ‪. َD‬‬ ‫?‪ َ ْ ْ%‬هَ ‪ِ 01‬ه َ‬ ‫‪ ْ.R‬ا‪$+1‬اوْ*َ ْ‬ ‫أ‪ ِD‬دَا‪ ُ ُ! ْ َ-‬ا ُ‪&ُ $ْ v o‬دْ‪ ،‬وَا ْ‬

‫ ‪ 35‬دْرْ‪ َD‬‬ ‫ ‪ِ َH‬ه َ‬ ‫‪ َ /‬ا‪ْ a‬‬ ‫ا‪$+1‬اوْ*َ ‪0 1 ْ 01‬‬

โ ซ โ ช 55โ ฌุฏู ุฑู โ ช. ู Dโ ฌโ ฌ โ ซโ ช ู /โ ฌุงโ ชู 1โ ฌ๏ฏ โ ชู 01 180 - 90 - 35 ู -โ ฌู ู โ ฌ โ ซู @ &ู โ ชู %Vู 2ู ู ู T ู -โ ฌู ู ู โ ชู .Hโ ฌุฑู ู ู โ ช ู Hโ ฌู ู ุงโ ช$+1โ ฌุงู ู *ู โ ช0 1 ู 01โ ฌโ ฌโ ซู * ู โ ช: ู 2โ ฌโ ฌ

โ ซโ ช ฮฑ = 35โ ฌู ู โ ช90 - ฮฑ = 55โ ฌโ ฌ โ ซโ ชู Uโ ฌู ู ู ๏ฏ ู โ ชRู ู ู %โ ฌโ ฌ โ ซุง ู ู โ ฌ

โ ซโ ชู 55โ ฌู ู ุง ู ู โ ชู Uโ ฌู ู ุง ู โ ช.35 Rู ู ู W.โ ฌโ ฌ

โ ซ ู โ ช.โ ฌู ู ุฑ*ู ุฏู *ู ู ู โ ช: 55โ ฌโ ฌ โ ซู &'ู ุงโ ช ู T@ู 21โ ฌุงโ ชู .Hู ู ู 1ู 1โ ฌุฑู ู ู ู โ ช ู Hโ ฌู ู ุงโ ชู 1โ ฌโ ฌ

โ ซ โ ชู 0โ ฌู ู ุง ู โ ช ู %โ ฌู ู "ู ุนู ุงโ ช$+1โ ฌุงู ู *ู โ ช ู V ู ู ู "ู 01โ ฌู ู โ ช&ู ู &ู Fโ ฌุณู โ ช:โ ฌโ ฌ โ ซู ู ุฏู ุงโ ชู ู "ู ู T@ู 21โ ฌโ ฌ

โ ซ?โ ช ู Lโ ฌุง ู โ ช ู 5 %โ ฌุง` ู *โ ช ุ ู ู Rู %โ ฌุขู ู ู ุงโ ชgู - ู O ู ู ู "ู ู $ Vู 1โ ฌู ู โ ช ู Tโ ฌุชู ุงโ ช@$>1โ ฌุฉโ ช.โ ฌโ ฌ โ ซ "ู ู โ ฌ โ ซโ ชู ู T@ู ? ู %Jโ ฌู ู โ ฌ โ ซ|ู โ ฌ โ ซ ู ุงโ ช:โ ฌู ู โ ช ู Tโ ฌุชู โ ช.โ ฌโ ฌ โ ซ ู โ ฌ โ ซโ ช mโ ฌุงโ ช ู - ู T@ู 21โ ฌุดู ู * ู โ ฌ โ ซ ู ู โ ช ู %โ ฌ๏ฏ ุนู ุงโ ช $ 1โ ฌุณู โ ช ุ โ ฌู ู ู ู ู *ู ู โ ฌ โ ซ โ ชู &ู h*ู .โ ฌโ ฌ โ ซโ ช ู .Rโ ฌุงโ ชู 1โ ฌโ ฌ โ ซู ู ุขู ู ู ู ู ุง ู โ ฌ โ ซโ ชู %ู Jโ ฌุฌู ุงโ ช: ู T@ู 21โ ฌโ ฌ โ ซ โ ช ู ? ุ h*ู .โ ฌุฏู ู ู ุฑ* ู ู ู ุขู ู ุดู ู โ ฌ โ ซ ู ุฏู ู ู ๏ฏ ู ู โ ช ู 1โ ฌู ู ุงโ ชู 1โ ฌโ ฌ โ ซ?' โ ช .V? '- %- Dโ ฌุง`โ ช ุ โ ฌุฃู ุง โ ช 0 Bโ ฌุงโ ช w 1 xโ ฌู โ ช D #โ ฌุกโ ช H K ) Fโ ฌู โ ช: 61โ ฌโ ฌ โ ซโ ช = > ุ 6 > OTโ ฌุงโ ช ' R % (1โ ฌุฒุง โ ช :โ ฌุง ? โ ช D On ุ Vโ ฌุกโ ช Fโ ฌุงโ ช H %>21โ ฌู โ ช = > ุ 6 > OT :โ ฌุงโ ช 5 ' R %>21โ ฌุฑ โ ช Kzโ ฌุขโ ช y Kโ ฌุก โ ชุ w oโ ฌโ ฌ โ ซโ ช D Onโ ฌุกโ ช Fโ ฌุงโ ช%< 1โ ฌุจ โ ช Hโ ฌู โ ช = > ุ 6 > OT :โ ฌุงโ ช !21โ ฌุก โ ช ' Rโ ฌุจ ุง ? โ ช D On ุ lโ ฌุกโ ช Fโ ฌุงโ ช) ' R %/ 1โ ฌู ุง โ ช ุ )Oโ ฌุฃู โ ช Tโ ฌู โ ช QP ) :โ ฌุงโ ช(%/ 1โ ฌโ ฌ โ ซโ ช D Onโ ฌุกโ ช '& Fโ ฌุง <" โ ช H % ( 1โ ฌู โ ช:โ ฌโ ฌ โ ซโ ช = > ุ 6 > OTโ ฌุงโ ช 5 ' R % (1โ ฌุฑ โ ช Kzโ ฌุขโ ช y Kโ ฌุก โ ช.w oโ ฌโ ฌ โ ซโ ช D Onโ ฌุกโ ช Fโ ฌุงโ ช H %>21โ ฌู โ ช:โ ฌโ ฌ โ ซโ ช = > ุ 6 > OTโ ฌุงโ ช 5 ' R %>21โ ฌุฑ โ ช Kzโ ฌุขโ ช y Kโ ฌุก โ ช.w oโ ฌโ ฌ โ ซโ ช D Onโ ฌุกโ ช Fโ ฌุงโ ช%< 1โ ฌุจ ู โ ช Tโ ฌู ุงโ ช.Rโ ฌุง โ ช+* O1โ ฌู ? โ ช D On ุ 6โ ฌุกโ ช Fโ ฌุงโ ช !21โ ฌุก โ ช ' Rโ ฌุฐู >โ ช wโ ฌุงโ ช ุ 4 1โ ฌุฃู โ ช Tโ ฌู โ ช h n) :โ ฌุงโ ช = > (4 1โ ฌุงโ ช !21โ ฌุกโ ช.โ ฌโ ฌ โ ซโ ช D Onโ ฌุกโ ช ' R Fโ ฌุฃ ) โ ช.Dโ ฌุง โ ช Hโ ฌู โ ช = > ุ 6 > OT :โ ฌุงโ ช T On ุ %/ 1โ ฌู โ ช ' - &) :โ ฌู โ ช '*Iโ ฌุงโ ช ' T 1โ ฌู โ ช (LTโ ฌุฑู ุง ุฃโ ช " /โ ฌู ุง โ ช T -โ ฌู ุง โ ช` )%โ ฌู โ ช.โ ฌโ ฌ

‫‪َ%P‬ة‪.‬‬ ‫ل ا‪َ ْ Hْ ِ 1‬‬ ‫ )ْ‪H‬بْ وْ ّ‬ ‫ ُ‬ ‫ ْ ّْ ْ َ ا‪ْ 6‬‬ ‫‪ ْ.R‬ا‪ْ َV ِ2 1‬‬ ‫? ْ ‪ْ.‬هُ مْ وَا ْ‬ ‫ ُ ‪ ْL ِT‬ا‪ ِ $ Vْ 1‬آَ نْ ْ‬

‫‪.ْ'*%ِJ‬‬ ‫‪َ.R‬ا ْ‬ ‫‪َ R‬ا ْ*‪ْ ْp‬‬ ‫! ْ ‪ ْo‬وْ ْ‬ ‫هَ دْ ا‪ َV ِ2 1‬آَ ُ َ" ْ ْ‪ َ ِ- ُ ْ%2‬ا‪ $ Vْ 1‬رَة ‪ َ" ْd*ْ @ْV1‬عْ ا‪ ُ/ ْ 1‬مْ وْا‪ّْ 1‬‬

‫‪ْ.B‬مْ‪.‬‬ ‫ ‪ْ%‬تْ ‪ ْO ُ ِ1‬آِ َ شْ آ ْ ْ‬ ‫? ْ ‪ِ.‬ي ا‪ ْLTْ ْ 1‬آُ نْ ْ ّْ‬ ‫آُ نْ ْ‬ ‫ َ بْ دْ*َ لْ ا اوْ َ ‪.‬‬ ‫ )ْ‪H‬بْ ُه َ ‪ْ 1‬‬ ‫ ُ‬ ‫ا‪ُ ْO ِ ُ 1‬ه َ أ‪ 6ُ $‬ا ‪ -‬سْ دْ*َ لْ هَ دْ ا‪ْ 6‬‬ ‫ ‪.ْ%‬‬ ‫‪ْ Vْ 1 ْ ً5 ُ>J‬‬ ‫‪ َ- َH*%ِl‬شْ ْ* ْ‪ْ%2‬فْ ‪ َ ِ-‬وْ ْ‪ ْLT‬ا‪@$>1‬ةْ ْ‪ َ -‬دْ ا‪ َV ِ2 1‬وْ ُ‬ ‫ْ‪َ.-‬ا َ" ْ ‪ ْ ْH‬ا‪َ ِK = ْ? ِ $ Vْ 1‬‬ ‫‪.ْ4Y‬‬ ‫ل ا‪ّْ 1‬‬ ‫‪ َ I‬لْ وْ ‪$‬‬ ‫ ّ‪ْ.‬دْ وْ ْ‪ ْLT‬ا‪@$>1‬ةْ ُه َ ا ْ‬ ‫ ‪ ،ْh*ِ.‬ا‪َ 01 َD َ 1‬آ ْ ْ‬ ‫ل ْ‪ ُ *%ِT‬ا‪َ 1‬‬ ‫ِإ َ‬ ‫‪ َ I‬لْ وْا اوْ َ ‪.‬‬ ‫> َ ْ ‪ َH‬وْ ‪ ْ' ِ- َT@َ? ِK‬ا ْ‬ ‫‪ْ J‬‬ ‫ أ‪ْ 6ُ $‬‬ ‫ا‪َ% ْ ِ 1‬ة "َ عْ ا‪ِ ِ $ ْV1‬ه َ‬ ‫&‪: @9‬‬ ‫‪ْ.R‬هَ ‪.‬‬ ‫‪ َ" ْ4D‬عْ ا‪َ% َ 1‬ا ُ لْ وْ ْ" ْ<‪ ُ ْ%‬هَ ْ ‪ْ ُ - َ &ْ ْ%ّ 1‬‬ ‫‪ ْ.R‬ا‪ - َ>2ْ 1‬ل ا‪ْ ْ%1‬‬ ‫ َ دِي ْ" ْ‪ ُPVْ H‬وَا ْ‬ ‫‪& @- ْ)9‬ﯖ ‪ ،‬أشْ د‪ُ%*0‬و ؟‬ ‫وْ ْ‪ ُ ْ%2ْ "ْ ْ.2ْ -ْ ْ'&ْ ُ ِ<-‬وْ ْ ‪CَB ْ:‬ة ا َ‪ْ $‬‬

‫ ‪ْ "َ h*ِ.‬ﯖ لْ ‪ = > :‬ا‪ 5 ' R %>21‬ر ‪ Kz‬آ‪ y K‬ء ‪.w o‬‬ ‫ا‪َ 1‬‬ ‫هَ ْ‪ َ $‬رْ ‪:‬‬

‫ ْ ‪.ْL‬‬ ‫ي ‪ َD َR‬ﯕ"ْهَ ‪ُ ،‬ه َ هَ دْ‪ 01 ِK‬رْ ْ‬ ‫‪ َ I‬لْ دْ*َ لْ أ ‪0‬‬ ‫ل ا ْ‬ ‫‪ =$ R‬وْ ‪$‬‬ ‫ْ* ْ‪ْ ِ 2‬‬ ‫‪&ُ 1‬دْ‪&ُ ِ 2ْ *ْ ،‬سْ وْ ّْ َ مْ !!‬ ‫ َ ?ْ = ُ‪ْ v o‬‬ ‫‪ْl‬‬ ‫ِإ َو دَا‪ َ َ-‬دِي ْ*‪ َV‬نْ ‪ ْO ُ ِ1‬أ‪ َ? 6ُ $‬وْ"َ ِ ْ‬

‫ ‪.ْm‬‬ ‫‪ْ%P‬فْ ا‪ْ a‬‬ ‫ ِوي ا‪ّْ 1‬‬‫‪ْ%P‬فْ ‪ْ 1‬ﯖ ْ‪َ ْ َ ْ4-‬‬ ‫‪ َ I‬لْ دْ َ لْ ا ْ‪ َ9$‬ﯕ"ْهَ َ" ْ ْ‪ ِ 2‬أ‪ 6ُ $‬ا‪ّْ 1‬‬ ‫ا ْ‬ ‫ ِوي ا‪ ُ ِ ُ 1‬سْ ‪:‬‬‫ْ* ْ‪ ِ 2‬أ‪ 6ُ $‬ا‪ ُ 0 1‬سْ َ ْ َ‬

‫ ‪ْ "َ h*ِ.‬ﯖ لْ ?َ وْ"َ ِ ‪ = > :‬ا‪ 5 ' R %>21‬ر ‪ Kz‬آ‪ y K‬ء ‪. w o‬‬ ‫ا‪َ 1‬‬ ‫‪ َ B‬لْ َ" ْ ‪&ُ ْ%*ِ.‬جْ "ْ ْ ‪$%‬اتْ ْ&'ْ ‪. َ>2ْ 1‬‬ ‫ْ* ْ‪ ِ 2‬ا‪ْ 1‬‬ ‫ ‪: ْm‬‬ ‫‪ْ%P‬فْ ا‪ْ a‬‬ ‫‪ْ%P‬فْ ‪ْ 1‬ﯖ ْ‪ ْ%*ِ. ْ "َ ْ4-‬ا ّْ ‪ ْ'&ْ ْe‬ا‪ّْ 1‬‬ ‫ْ* ْ‪ ِ 2‬ا‪ّْ 1‬‬

‫ ‪ $‬هَ ‪ Kَ z‬ا اوْ َ ‪: ْ:5ْ &ُO5ْ &ُ ،‬‬ ‫‪ َ I‬لْ دْ*َ ْ‪ َ 1‬وْ ْ‬ ‫ا‪ َH1 ِ $ Vْ 1‬ا‪ ْc ِ 01 َT@َ21‬ا ْ‪ َ9$‬وْا ْ‬

‫? ْ ‪ َ ْ.‬ا ‪.ْV )ِ%ْ ِF َF‬‬ ‫ ِ ْ ُ ا {ْ‪ ،‬دْرُوآَ ْ‬ ‫‪ْ.D‬وْلْ ْ‬ ‫‪ُ.Vْ /‬و ا‪+$ 1‬وَا*َ ْ&'ْ ْ‬ ‫ْ ‪ َ& $‬تْ ا‪ ِ $ Vْ 1‬آَ ُ َ" ْ ْ‬ ‫ ْ‪.‬‬ ‫ ْ‬ ‫ل ا‪ ُ َ 1‬تْ‪ ،‬أ&‪ $‬ا~* ُ نْ إّْ* ْ‪ْ.Hْ *ْ 6‬رْ ْ* ْ‬ ‫? ْ ‪َ.‬اآُ مْ َ&!ِ ‪ َ" ْo*%ِ"ْ @ ِ 1 َ 1‬عْ &ُ ْ‬ ‫وْ ْ‬ ‫ ‪ ْ.‬ا‪. َ * ِHْ ّْ1‬‬ ‫? َ= ا‪ ُl ُV1‬نْ ‪ َ? tan-1‬دْ ْ" ْ‪ْ%V‬آ ?ْ = ‪ 1‬وْ ْ" ْ‬ ‫‪ْ%-ْ ،ْ"/‬آ َ‬ ‫ل ‪ ُ ْ%2ْ "ْ ُ ِ-‬ا اوْ َ َ عْ وَا ْ‬ ‫إَ‬ ‫?‪ \َ ْ 0َ$‬ا‪6‬رْضْ ِه َ‬ ‫‪ ِ 2ْ *ْ ،ْ"/‬ز اوْ َ ا ْ‬ ‫ ْ ‪$% ْ 1‬ة ا‪ 1ْ 1‬وا ْ‬ ‫ ‪ 45‬دْرْ‪. َD‬‬ ‫ "‪ 27 ًV*%ْH‬دْرْ‪. َD‬‬ ‫?‪ \َ ْ 0َ$‬ا‪6‬رْضْ ِه َ‬ ‫ ْ ‪$% ْ 1‬ة ا‪ ِ 2ْ *ْ ،ْe5ْ 91‬ز اوْ َ ا ْ‬ ‫‪)َ /‬آَ ا ّ ْ‪ َQ‬نْ‪.‬‬ ‫‪ َ ْKFْ y‬عْ َ‬ ‫ ‪ْ ُV‬‬ ‫ ْ‬ ‫إ َو دَا‪ َ? َ-‬دْ َ دِي ْ ْ‪َ.V‬اوْ ْ ْ‬

‫‪)َ /‬آَ ا ّ ْ‪ Q‬نْ‬ ‫? ْ‪ َ ْKF‬عْ َ‬ ‫ا ْ‬ ‫ َ‪%‬آَ ‪.‬‬ ‫‪َ%R‬آ ا‪ $ ْ+ّ 1‬نْ‪ ،‬وْ ْ! ُ أ‪ُ َ K‬ه َ ا‪ َ" ْ4 ْ !1‬عْ هَ دْ ا‪َ 1‬‬ ‫ َ دِي ْ ْ‪َ.V‬اوْ ْ ‪ْ.‬رْ ُ َ‬ ‫? ِ ‪.ْ6‬‬ ‫‪ْ َ ْ%Y‬‬ ‫‪ َ -ْ ْ. ْ /‬دْ ‪ْ 01 0K‬ه ْ‬ ‫?‪ ْ4‬ا‪ّْ 1‬‬ ‫‪ْ ُ&ْ.B‬‬ ‫ ُ مْ َ دِي ْ ْ‬ ‫‪ُ.D‬و رَا ْ‬ ‫وْ ْ‬

‫‪%َ R‬آَ ا ّ ْ‪ Q‬نْ ‪:‬‬ ‫أ ْ&‪ َ" ِ9‬عْ َ‬

‫‪ َB m‬ﯕ)َة‪.‬‬ ‫‪َ"/‬ة‪ ِ 2ْ *ْ ،‬هَ دْ ا‪ َ ِ Hْ ّ1‬آ ْ ْ‪َ V‬‬ ‫هَ دْ ا‪ ْ' ِTْ%ْ ْ &ْ ِ9&ْ :‬وَ‪ْ. ْ "َ ْ' ِ 1‬رْ ُ هُ مْ ْ ِ‪ َ ِ ,ْ %‬وْ ْ‬ ‫‪6 ْQ ْU ِ ْ =َ R‬رْضْ‪.‬‬ ‫ا‪ُ َ ِ Hْ ّ1‬ه َ أّ ُ‪ َ 6‬دِي ْ ْ ْ‪ ُ2V‬ا|[ رْ "َ عْ ا‪ 01 َD َ 1‬رْ&ِ َ ْ‬ ‫أ َ ‪ ْJ‬رْتْ أ‪ْ. ْ َ $‬رْ ُ ا|[ رْ "َ عْ ُآ)َة ا ﯖ& ْ ‪.ْq‬‬ ‫‪6 ْQ ْU ِ ْ =َ R‬رْضْ ‪:‬‬ ‫ْ* ْ‪ ِ 2‬أّ ُ‪ َ 6‬دِي ْ ْ ْ‪ ُ2V‬ا|[ رْ "َ عْ ُآ)َة ا ﯖ& ْ ‪ ْ'&ْ ْq‬ا ّ)ْ ْ َ ْ‬

‫ َ‪%‬آَ ‪.‬‬ ‫ ا ّْ‪Cْ$%‬مْ‪َ.-ْ ْ' ِ &ْ َ5@ْV1 ْO ّْ2ْ ْ ِ 2ْ *ْ ،‬اتْ ا‪َ 1‬‬ ‫‪َ P‬ة ‪ِ 01‬ه َ‬ ‫‪ْ J‬‬ ‫ َ دِي ْ ْ‪َ.V‬اوْ ‪ّ gْ-‬وْلْ ْ‬

‫‪ ْV ْ ْ ْ &ُ ْ"I‬ا َ‪ْ# َ$‬‬ ‫دَا َ َ نْ ِ ‪&ُF‬مْ أ ‪ wُ 5‬دِ َ َ ْ ْ‬ ‫‪.ْ'Y‬‬ ‫‪ َ R‬بْ &َ َ" ْ ْ‬ ‫? َ= ْ‬ ‫‪ ،p‬هِ ‪ْ.ّ Tْ ْ%‬رْ"ُ ْ‬ ‫^ ْ ْ‬ ‫? ْ‪ّْ ْ ْKF‬‬ ‫ ْ ‪ُ ِ!&َ ْL‬ه َ ا ْ‬ ‫ا|[ رْ "ْ ‪َ% ُ 1‬ة ‪ 01‬رْ ْ‬ ‫‪ =$ R‬ا‪ ُ 1‬قْ ?َ دْ َ دِي ْ" ْ ْ‪.ْtV‬‬ ‫> َ ْ"‪ْ ْQ ْP‬‬ ‫‪ْ J‬‬ ‫‪َ%/‬ة َ" ْ ْ‪ْ%2‬فْ ‪ْ َ $gِ-‬‬ ‫‪ْR‬‬ ‫‪ ْ.R‬زْفْ ْ‪ْ ِ!-‬‬ ‫ي وَا ْ‬ ‫أ ‪0‬‬ ‫? ِ ْ‪. 6‬‬ ‫‪ َ& p‬آ ْ*'ْ ‪a‬شْ ‪ْ ْ ّْHْ ْ ِT َ-‬‬ ‫^ ْ ْ‬ ‫! ْ ‪ّْ ْ ْ4‬‬ ‫?‪ ْL ْ ْ%‬ا‪ْ 1‬‬ ‫ل ْ‬ ‫إَ‬ ‫! ِ ‪.ْ4‬‬ ‫‪ ُ ْ%P‬ا‪ْ ُ 1‬‬ ‫ )َافْ‪ َ ِ 2ْ *ْ ،‬دِي ْ ْ‬ ‫ ا ْ‪ْ %‬‬ ‫‪َ P‬ة ‪ِ 01‬ه َ‬ ‫‪ْ J‬‬ ‫دَا‪ َ َ-‬دِي ْ ‪ُ.‬وزُو ‪ْ :‬ه‪ْ ْO‬‬

‫<!َ‪ َ S‬عْ ا ‪: AOH‬‬ ‫‪ !"ْ ْ c‬ا ْ !ِ سْ ا ْ‬ ‫‪ 4‬ا َ ‪ْ Yْ #ْ 8َ ْG#ِ& ْ >ْ2‬‬ ‫َ‪ْ#8‬ﯖ لْ ا ْ‪ُ %‬‬

‫‪ ْoْ ْ ْ'&ْ ْQD‬ا‪ ُ 2ْ 1‬دْ‪.‬‬ ‫? ِ َ ‪ َ ،‬دِي ْ*‪ْ ْ%‬‬ ‫‪&ُ 1‬دْ ْ‬ ‫!‪َ%&ْ ِ! ْ =َ2‬ا*َ وْآَ نْ ْ‬ ‫‪ْ%U‬بْ ا‪ْ 1‬‬ ‫ل ْ‬ ‫ْ* ْ‪ ِ 2‬أ‪ 6ُ $‬إ َ‬ ‫‪. َ D‬‬ ‫‪ِ ِ!1 ُ ْ ِ "ْ ّ1ِ َD َR ِK =$ R‬‬ ‫‪ َ& ْ.R‬آَ ْ* َ ْ‬ ‫وْ َ دِي ْ* ْ‪ َ =َHV‬دِي دَا ْ ً ْ ‪َ.‬اكْ ا‪ ُ 2ْ 1‬دْ &َ ْ‬ ‫ ‪.ْ.*ِ.‬‬ ‫> ِ َ "َ عْ ا‪ْ 1‬‬ ‫? ُ دْ ْ ْ‬ ‫‪ َ -ْ ْ%U‬هَ ْ‬ ‫!‪ َ" =َ2‬عْ ا‪َ% ُ -ْ ^Y1‬ة ْ‬ ‫? ّْ ‪ ْw‬ا‪ْ 1‬‬ ‫ْ&'ْ ْ‪ْ ْ َ ْ.2ْ -‬‬

‫‪ 4‬ا َ ‪: ْ >ْ2‬‬ ‫َ‪ْ#8‬ﯖ لْ ا ْ‪ُ %‬‬

‫!‪ َ" =َ2‬عْ ا‪ Qَ &ْ ^Y1‬ا‪ ُ 2ْ 1‬دْ‪.‬‬ ‫‪)َ /‬آَ ْ" ْ‬ ‫‪َ ْV ْ ْ ْ ْQD‬‬ ‫‪ =$ R‬ا‪َ% ُ 1‬ة َآ ْ ‪ْ ْ%‬‬ ‫ْ* ْ‪ْ ِ 2‬‬ ‫ ‪.ْL‬‬ ‫‪ْ ْ 1 t‬‬ ‫ أ‪ ْoْ ْ ْ 6ُ $‬ا‪ْ Vْ ْ ْ "َ ْLTْ ْ 1‬‬ ‫ا‪ ّ1ِ َD َ 1‬زَا ْ*‪َ.‬ة ِه َ‬ ‫ )ُو‪: َQ‬‬ ‫ل ْ‬ ‫ َ‪%‬آَ تْ وْ ‪$‬‬ ‫?‪ ْL‬ا‪َ% ُ 1‬ة ْ ‪ َ9‬وْ َ ْ&'ْ ُ&جْ "َ عْ ا‪َ 1‬‬ ‫ َ‪%‬آَ "َ ْ‬ ‫ْ* ْ‪ ِ 2‬أ‪ 6ُ $‬ا‪َ 1‬‬ ‫ل ا~ ْ ِ‪ َ 2‬سْ‪.‬‬ ‫‪%َ R‬آَ ا‪ ُDْ%1‬عْ وْ ‪$‬‬ ‫' ا‪ُ ْO9ْ َ 1‬ه َ َ‬ ‫‪ َ" ْ49َ 1 ْ ،ْV1‬عْ ا ْ‪ْ -‬‬ ‫‪ p‬ا ْ‬ ‫‪ْI‬‬ ‫‪ْ%P‬فْ ‪ْ ْQ‬‬ ‫‪ ْ.R‬ا‪ّْ 1‬‬ ‫وَا ْ‬ ‫ل ا‪.ْ4Hْ 91‬‬ ‫‪ ْ. ِV/‬وْ ‪$‬‬ ‫‪%َ R‬آَ ا‪ْ 1‬‬ ‫‪ p‬ا &َا ْ ‪ َ" ْ49َ 1 ْ ،ْq‬عْ ا ْ‪ ْ'-‬ا‪ُ ْO9ْ َ 1‬ه َ َ‬ ‫‪ْI‬‬ ‫‪ْ%P‬فْ ‪ْ ْQ‬‬ ‫‪ ْ.R‬ا‪ّْ 1‬‬ ‫وَا ْ‬ ‫‪ْ َ َ &َ ^>J‬آ‪َ% ِV‬ة ‪ َ-‬شْ ْ*‪ َV‬نْ‪.‬‬ ‫‪ ْ" ْ O‬هِ ‪ْ ْ%‬‬ ‫!‪ َ" =َ2‬عْ ا‪ْ %ّْ ْ َ ^Y1‬‬ ‫‪ =$ R‬ا‪ّْ 1‬‬ ‫?‪ْ 6ُ $gِ- =َH1 ْc ْ َ%‬‬ ‫وَا‪ $J‬أ‪ِ 6ُ $‬إ ْ‪ْ 5‬‬

‫ )َافْ‪.‬‬ ‫ ‪ُ%‬و‪ْ %ّْ ْ ْF‬‬ ‫! ِ‪ 4‬ا‪ْ ْ.ّ 1‬ردُو‪ Qَ &ْ َ-‬ا‪ َ 0P1‬نْ ْ ‪ْ ّ 1‬لْ ‪.H‬رو ْ ْ ْ‬ ‫‪ْ &ُ =$ R‬‬ ‫ن ْ‬ ‫وْ ْه َ ْ*‪ َV‬نْ ‪ ُ ِ1‬مْ أ ‪$‬‬ ‫? ُ دْ ‪:‬‬ ‫‪َ %َ R‬آ ْ ا‪ َF$ِ 5ْ u‬سْ ْ‬ ‫' ا‪َ.2ْ -ْ O9ْ َ 1‬ا َ‬ ‫ ‪ ْ%‬ا ْ‪ُ -‬‬ ‫َ" ْ ْ ّْ‬

‫ ‪ َ -ْ ْ%‬لْ ا‪ َ" 1 َ 1‬عْ ا‪ْ.ّ 1‬رْدُو‪: َ-‬‬ ‫وْ ْ&'ْ ْ‪ّْ ْ ْ "َ ْ.2ْ -‬‬

‫‪$.J‬امْ ‪َ%1‬ا ُ ‪.‬‬ ‫‪ْ%l‬فْ ْ‬ ‫‪ْ 4‬‬ ‫ل ُآ ‪$‬‬ ‫ )ُو‪$ َ -ْ ِ 2ْ *ْ ، َQ‬‬ ‫ ِ‪ َ" َ ِCْ,%‬عْ ا ّْ‬ ‫ ا‪ْ u‬‬ ‫? ِ َ ِه َ‬ ‫> َ ْ ْ‪ْ ُ Hْ 2‬‬ ‫‪ْ J‬‬ ‫ا‪ْ ّ1ِ َV ِ2 1‬‬ ‫ ‪ h1 n‬أ ْه‪ ْ.2ْ -ْ ْ'&ْ ْZ*+ِ 1 ْ َD َR ْO‬ا‪ $>1‬ﯕ‪َ%‬ة وْ ا‪.ْO َ2َ 1‬‬ ‫ )َافْ ِه َ‬ ‫هَ دْ ا‪ َ" َV ِ2 1‬عْ ا ّْ‪ْ %‬‬ ‫‪َ%P‬افْ "َ عْ ُآ‪َ%‬ة ا‪1‬ﯖ ْ‪.ْw1‬‬ ‫‪ْ ّْ1 ُ2D‬‬ ‫‪ْ ْ% ْ ْO ِ ُ 1‬‬

‫‪)َ /‬آَ ُآ‪َ%‬ة ا‪1‬ﯖ ْ‪: ْw1‬‬ ‫‪َ%P‬افْ "َ عْ َ‬ ‫ا‪ْ ّْ1‬‬ ‫‪ُ%l‬و َ ‪.‬‬ ‫ ‪َ%‬آ َ" ْ ‪ ُ ْ2‬هَ ْ‪ ُ/-‬جْ ْ‬ ‫ ‪َ%‬آ "َ عْ ُآ‪َ%‬ة ا‪1‬ﯖ ‪ ،M ْw1‬هَ دْ ا‪َ 1‬‬ ‫ ‪ ْ 0‬ا‪َ 1‬‬ ‫ َ دِي ْ ْ‬ ‫) ا َا ْ‪. ْ}6‬‬ ‫‪ْ y‬‬ ‫& َ ‪ْ ْ My ْ ْ T‬‬ ‫ 'ْ وْ و ا ْ‬ ‫) ا ْ‬ ‫‪ْ y‬‬ ‫‪ْ%P‬فْ ‪ْ ْ Mx‬‬ ‫‪ ْ.R‬ا‪ّْ 1‬‬ ‫? ْ ‪ َ ْ.‬وَا ْ‬ ‫ْ‬ ‫ َ‪.ْc ّ ِ,ْ %‬‬‫ ‪َ%‬آ ا‪َ 1‬ا ْ‪ْ ْ َ T‬‬ ‫? َ وْ ا‪َ 1‬‬ ‫ ‪َ%‬آ ا‪ْ $ 1‬‬ ‫‪%َ R‬آَ ‪ M‬هِ ‪ h ِR ْ%‬ا‪َ 1‬‬ ‫‪َ َ ْ ْ%ّ l‬‬ ‫وْ َ" ْﯖ لْ ﯕ ِ ِ أ‪ْ َ& 6ُ $‬‬ ‫‪ t‬ا‪َ 1‬ا ْ‪.ْwT‬‬ ‫‪ْ B‬‬ ‫ َ‪%‬آَ ْ ‪ْ 1‬‬ ‫? َ= ا‪َ 1‬‬ ‫?‪ َ ْo‬آ‪ْ) ّْ ~ْ%‬شْ ْ‬ ‫‪ t‬ا‪ْ $ 1‬‬ ‫‪ْ B‬‬ ‫ َ‪%‬آَ ْ ‪ْ 1‬‬ ‫ْ* ْ‪ ِ 2‬أ‪ 6ُ $‬ا‪َ 1‬‬ ‫‪%َ R‬آَ ُآ‪َ%‬ة ا‪1‬ﯖ ْ‪.M ْw1‬‬ ‫ )ُو‪ َ َQ‬دِي ْ" ُ نْ ا ‪ n‬ر "َ عْ َ‬ ‫ل ْ ْ ْ‪ َ $‬هَ دْ ا ّْ‬ ‫ِإ َ‬

‫ ‬ ‫ ‪ َ َ?ْ%‬دِي ْ ْ ْ ‪ ُV‬هَ ْ‪ َ -‬دْ ا‪ْ 1‬‬ ‫‪ ْ.R‬ا‪^ 1‬‬ ‫هَ دْ ُآ َ‪%‬ةْ ا‪1‬ﯖ ‪ َ ْw1‬دِي ْ ‪ ^ ْ+‬هَ ْ‪َ -‬ا ْ‬ ‫! ْ ‪@ْ? ، Vo ْ4‬شْ ؟‬ ‫)ْ‪. َ1‬‬‫ ّ)ْفْ هَ دْ ا ‪W‬‬ ‫ ‪ْ 5ْ َ& ْ4Vْ Tْ ْ%‬‬ ‫> ِ ْ ْ ّْ‬ ‫‪ْ J‬‬ ‫هَ دْ‪ْ 01 ِK‬‬ ‫ َ بْ ‪&ُO‬جْ َ عْ ْ‪َ&5‬اعْ‪.‬‬ ‫‪ ُ ِ- ُ-ْ%Y‬مْ ‪ْ 1‬‬ ‫ َا ْ*‪ ْp‬أ‪ْ ْ َ" 01‬‬ ‫ ْ ‪ ُTْ%ْ ْ "َ ْZ*+ِ ِ 1‬ا‪ْ 1‬‬ ‫ْ &مْ ‪:‬‬‫ ‪ ْFْ 0‬ا ّ‬ ‫ا‪ ^ 1‬عْ ا‪ْ ّ 1‬لْ ْ ْ‬ ‫‪َ"/‬ة َ" ْ ْ ْ ْ ‪.ْZ‬‬ ‫‪ َ & ْ$ ْ ْ ِ 2ْ *ْ ،ْ"/‬وْ ْ‬ ‫ي ‪ ُ ْ%2ْ ْ "َ َD َR‬هَ هِ ‪َ "َ $َ ْ ْ%‬د وَا ْ‬ ‫هَ دْ ا‪ ^ 1‬عْ ُه َ أ ‪0‬‬ ‫&‪: @9‬‬ ‫ ‪ ْw‬ﯕ ‪ ْZ ِ1‬أ َ ْ ‪ّ ْQ ِ 2ْ *ْ ،11 ْO ^ 1‬‬ ‫‪ ْ.R‬ا‪$ ْ ُ 1‬‬ ‫ْ &مْ ‪ :‬وَا ْ‬‫ا ّ‬ ‫ْ &مْ ‪.11‬‬‫‪ ْ4D‬ﯕ لْ ‪ َT@ْ ْ ْZ ِ1‬وْ ْ&'ْ دَا‪ 30 َ-‬دْ‪. َH ِT‬‬ ‫‪ ْ.R‬ا‪$%1‬ا ْ‬ ‫ا &ْ ْ ‪ : ْ:‬وَا ْ‬ ‫‪ 3 ْ.R‬آِ ُ "َ عْ َ&‪. َ! ِP‬‬ ‫ وَا ْ‬ ‫‪ $YB‬رْ?َ َ كْ دِ*‪َ 1ِ ْ%‬‬ ‫‪ ْ.R‬ا‪ْ 1‬‬ ‫ا ْ‪ َ $‬رَة ‪ :‬ﯕ ‪َ 1‬ا ْ‬ ‫وْ ِز*‪ ْ.‬وِْز*‪...ْ.‬‬ ‫‪ ْ5 َJ 01 ْO ِ ُ 1‬مْ ْ" ْ ْ ُ ُه َ أ‪ َ &ُ $ْ ْ 6ُ $‬وْ‪"ْ/‬ة آَ ْ َ وْ ‪. َ ْ َK‬‬ ‫ ّ مْ ‪.‬‬ ‫> َ= ا ‪ َD ، ِ W-‬تْ ْ&'ْ ا‪ّْ 1‬‬ ‫ْ ‪ َ -ِ %َ 2َ 1‬ا‪ْ ُ 1‬‬‫ ْ]‪: ْ#‬‬‫ ‪ ْFْ 0‬ا ّْ‬ ‫ا‪ ^ 1‬عْ ا‪ْ ْ 91‬‬ ‫‪َ"1‬ادْ ‪ َ-‬شْ ْ ْ‪ ُ ْ%2‬هَ ‪.‬‬ ‫‪ ْK1‬ا‪&ُ ْK ْ 6‬جْ ْ ‪ْ 6‬‬ ‫> َ ‪ْ َ ِ1‬‬ ‫‪ْ J‬‬ ‫ي ‪ْ َD َR‬‬ ‫هَ دْ ا‪ ^ 1‬عْ ُه َ أ ‪0‬‬ ‫‪ ْK1‬ا‪&ُ ْK ْ 6‬جْ ْ ْ ‪Cَ & ْ$‬تْ ‪ َ-‬شْ ْ ْ ْ ْ ‪.ْZ‬‬ ‫> ِ ْ‬ ‫‪ْ J‬‬ ‫ْ* ْ‪ْ ِ 2‬‬ ‫&‪: @9‬‬ ‫‪ 80 6ْ ِ ْ4D‬آِ ُ ‪.‬‬ ‫‪ ْ.R‬ا‪$%1‬ا ْ‬ ‫? َ= وَا ْ‬ ‫? َ كْ أ‪ْ ْ ْH ْ "َ َ* ُJ‬‬ ‫‪َ ْ.R‬‬ ‫ْ َ دْمْ ‪ :‬ﯕ ‪ ِK ْZ ِ1‬وَا ْ‬ ‫ ْ َ وْ ِز*‪ ْ.‬وِْز*‪...ْ.‬‬‫‪ =$ R‬ا ‪&W‬لْ وْ ا &نْ وْ ‪ْ َ ْc ِQ‬آ‪ ْc‬وْ ا ّْ‬ ‫ َ دِي "ْﯖ لْ ‪ 6ْ ِ1‬وَا‪ ،ْF‬ﯕ لْ ‪ْ 01‬‬ ‫‪َ.R‬ة &َ آ ْ َ شْ‪.‬‬ ‫ ‪&W‬مْ‪ َ& ْ2&ْ ْh ِR ،‬وْ ْ‬ ‫ ْ]‪ْ ِ!&َ ْ#‬‬ ‫‪ْ" ْZ5‬ﯖ ‪ َ -ْ 6ْ ِ1‬دْمْ رَا‪َ ْF‬‬ ‫ْ* ْ‪ّْ َJ ِ 2‬‬

‫ ْ ‪$+-ْ ْ4‬افْ ْ&'ْ ْ‪ َ -‬دْمْ ‪.‬‬ ‫ ْ‬ ‫ ْ]‪ ،ْ#‬هِ ‪ِ ْ%‬ه َ‬ ‫ ْ‬ ‫‪ِ =$ R‬ه َ‬ ‫ ‪ْ َ?ْ%‬‬ ‫)ْ‪ : َ1‬ا‪^ 1‬‬‫ا ‪W‬‬ ‫ ‪ْ 0‬هُ مْ ‪:‬‬ ‫ش ْ ْ‪ ُ ْ%2‬هَ ‪ ،‬هَ دْ ا‪ َ& ْ2 ْ 1‬تْ َ" ْ ْ‬ ‫> َ هِ ‪ َ& ْ2 ْ ْ" n@n ْ%‬تْ ‪ْ َ-‬‬ ‫‪ْ J‬‬ ‫ْ‬ ‫‪.ْ"]ْ O‬‬ ‫‪ َ]O‬وْ ا ّْ‬ ‫ &َا َ ‪ ،‬ا ‬ ‫ا ّْ‬ ‫)ْ‪ َ" َ1‬عْ ‪ َ ِ-ِ ُ& ُl ِK‬دْ*َ ْ ْ ‪$%‬ا ْآ‪. ْu‬‬‫? َ= ا ‪W‬‬ ‫‪ ُ ِ1 ْ%Y‬م ْ‬ ‫&َ‪ْ ْ ْ ْL ِ<-ْ @9‬‬ ‫ ّْ ‪ ْ.‬ا‪oِ& َB1‬‬ ‫‪ِ ِK‬رعْ ُ& ْ‬ ‫ & ا "َ عْ َ‬ ‫ن ا‪ّ َK ِ- ُ& ^P1‬د َة ا ّ‬ ‫لأ‪$‬‬ ‫> ِ ْﯖ ِ‬ ‫‪ْ J‬‬ ‫ْ‬ ‫وْ َ دْ*َ ِ ]ْ ا‪ َ Vِ ْ ُ 1‬‬ ‫‪ ْ"]ْ O‬دْ*َ لْ ‪ 40‬آِ ِ ْ ‪. َ? $ 1 ْ ْ%‬‬ ‫ ْ ّْ‬ ‫‪َ.R‬ة ْ&'ْ هَ دْ ا‪ َ& ْ2 ْ 1‬تْ َ دِي ْ"‪َ% ِR ِ ْB‬انْ‪.‬‬ ‫ل ْ ِ ُ هِ ‪ ْ%‬وْ ْ‬ ‫ِإ َ‬ ‫‪ َ- ْ%J‬شْ ْ ْ ْ ُ ‪ ُD ،‬جْ ‪@ ِ- ُ& ُl‬ت َ دْ* 'ْ بْ ‪&ُ & ْQ‬رُوتْ ِ ‪ ْc‬ا " ارْ ا ِ ^َ ءْ وْ ْ ) ا ْآ‪.ْn‬‬ ‫‪ْ | ْ.R‬‬ ‫&َ‪ ْ49‬وَا ْ‬ ‫‪َ.R‬ة َ دْ َ ْ ) ا ْآ‪. ْn‬‬ ‫‪َ.R‬ة َ دْ َ " ارْ ا ِ ^ ء وْ ّوْ ْ‬ ‫وْ ْ‬ ‫ ‪ َ?ْ%‬؟‬ ‫? ْ ‪ْ.‬هُ مْ ْ‪ ْV ْ 5‬ا‪^ 1‬‬ ‫هَ دْ ‪ ُD‬جْ ‪@ ِ- ُ& ُl‬ت َ دْ* 'ْ بْ ‪ 100‬آِ ِ ْ ‪ ، َ? $ 1 ْ%‬وَاشْ ْ‬ ‫‪َ.R‬ة َ دْ َ ْ ) ا ْآ‪.ْn‬‬ ‫‪َ.R‬ة َ دْ َ " ارْ ا ِ ^ ء وْ ّوْ ْ‬ ‫‪ a‬أ‪ a‬أ‪ 6ُ $: ،a‬وْ ْ‬ ‫‪. َ]O‬‬ ‫? ْ ‪ْ.‬هُ مْ ْ ْ‪ ْo‬ا ‬ ‫‪ ْ"]ْ O‬وَ‪ْ َ& ْ' ِ 1‬‬ ‫ & ا وْا ّْ‬ ‫? ْ ‪ْ.‬هُ مْ ْ‪ ْV ْ 5‬ا ّْ‬ ‫‪ ُ ْ K‬أ‪ْ 6ُ $‬‬ ‫هَ ْ ُ َم ْ‬ ‫‪ ^PR‬هَ دْ‪. ِK‬‬ ‫‪ َ" َ&ْ.B‬عْ هَ دْ ا‪ $ 1‬سْ ِ‪ْ ّ1‬‬ ‫ْه َ َ دِي ْ"‪ َV‬نْ ‪ ْO ِ1‬ا " دْ*َ لْ ا‪ْ 1‬‬ ‫? َ= وَا‪.ْo ْ 2ْ 1 ْ- ُ1‬‬ ‫‪ْ ْ َ5ْ",ّْ 1‬‬ ‫> َ ْ‪ ُ -‬مْ هَ دْ‪ ِK‬رَا‪ ْF‬هِ ‪ْ ْ%‬‬ ‫? ْ ‪َ.‬اآُ مْ ‪ْ ْ ْ 1‬‬ ‫ْ‬ ‫ ُ ‪.

1‬‬ ‫ ‪َ%‬آ ْ‪ُ -‬‬ ‫? ِ‪ َ" ْKF‬عْ ا‪َ 1‬‬ ‫ي ُ ْ‬ ‫ ُ أ ‬ ‫ل ْ"ّْ‪ َ َ* َ2&ْ ُ 2ْ V‬دِي ْ*‪ َV‬نْ ‪ ْO ُ ِ1‬أ‪ َ -ْ 6ُ $‬دْ‪ َ ِK‬دِي ْ ْ‬ ‫إَ‬ ‫ ْ]‪ َ ،ْ#‬هْ &َ هْ هَ آِ َ ش ‪:‬‬‫ ُ هَ دْ ا ّْ‬ ‫ْ‪ َH-‬دَا‪ َ-‬آِ َ ش َ دِي ْ ‪ْ ْ%‬‬

‫‪. َ]O‬‬ ‫> َ= ا ُ ‪ِ %‬‬ ‫َ" ْﯖ ‪ َ -ِ %َ 2َ 1 ْ- َ ِ1 ُ1‬ا‪ْ ُ 1‬‬ ‫ )َافْ ‪:‬‬ ‫‪ ُ2D‬دَا‪ْ %ّْ َ-‬‬ ‫ْ ‪ْ ْ%‬‬

‫ ‬ ‫‪Vo‬‬ ‫‪.‬‬ ‫)ْ‪ َ1‬‬‫‪ ْ.R‬ا ‪W‬‬ ‫ﯕ ﯕ‪ ِV‬أ‪ َ 6ُ $‬دِي ْ ‪%َ ُ 1 - ^ ْ+‬ةْ "َ عْ ا‪1‬ﯖ ‪َ -ْ ْw1‬ا ْ‬ ‫)ْ‪ ْ"ّ ْQ َ1‬ا &ْ ‪.‬‬‫ ‪ْ "َ 1‬ﯖ ‪ َ ِ1 ُ1‬ا ‪W‬‬ ‫ ‪ِ َ?ْ%‬ه َ‬ ‫هَ دْ ا‪^ 1‬‬ ‫‪ُ%P‬و َ ‪.‬‬ ‫ ‪ ُ/1 َ?ْ%‬جْ "َ عْ ا‪ْ 1‬‬ ‫ )ْ‪ &ُQ‬هَ دْ ا‪^ 1‬‬ ‫آِ ‪ ْw‬ا‪ َ21‬دَة َ دِي ْ‪ْ 5‬‬ ‫ ‬ ‫ ‬ ‫‪Voy‬‬ ‫ ْفْ ا ‪َA‬ا ْ?‪.ْZ‬‬‫*ْ ّْ‬ ‫& َ ‪ْ ْ T‬‬ ‫ [ْ وْ و ا ْ‬ ‫‪ 5‬ا ‪ْ I‬‬ ‫‪ْ6‬‬ ‫‪ْ%P‬فْ ‪ْ ْ* Vox‬‬ ‫‪ ْ.R‬ا‪ّْ 1‬‬ ‫? ْ ‪ َ ْ.‬وَا ْ‬ ‫ْ‬

‫ ْ]‪.ْ#‬‬‫‪ُ =$ R‬ه َ ْ&'ْ ا‪ْ ّْ1‬عْ ا‪ُ ّ1ِ ِ 91‬هَ ا ‬ ‫‪ُ%P‬و َ ْ‬ ‫هَ دْ ا‪ْ 1‬‬ ‫ ‬ ‫ ‬ ‫ ‬ ‫‪Voy‬‬ ‫‪Vo‬‬ ‫‪Vox‬‬ ‫‪.‬‬ ‫‪ْ.Yْ ,‬‬ ‫‪ َ ُ ْ U‬شْ ْ‪ ُ=ْ 1ْ C‬ا ّ‬ ‫َ‪ْ َ,#ْ 8‬ه‪ْ ْ ْ.‬‬ ‫ ْ ‪ْO‬‬ ‫‪ ُ ْ%P‬وْا‪ّ 1‬‬ ‫َ" ْ َ ْه‪ْ -ْ ْO‬‬ ‫ ْ ‪ْO‬‬ ‫ا‪$ 1‬‬

‫ ‬ ‫ \َ ‪. V‬‬ ‫ ْ ا ْ‬ ‫‪َ ْ .‬‬ ‫‪ْ #$ ,‬هَ ُ‬ ‫ َ آَ‪ َK ،+‬دِي ْ= ْ‬ ‫‪َ & َ ْ C‬آ ْ" ْ‪ Rَ ْ ْ 2ّ $‬ا َ‬ ‫ْ ‪ َ9‬تْ ِ‪ َ #‬دَا َ ا ‪O‬‬ ‫‪ُ%P‬و َ ‪.‬‬ ‫ ‪ ُ/1 َ?ْ%‬جْ "َ عْ ا‪ْ 1‬‬ ‫ )ْ‪ &ُQ‬هَ دْ ا‪^ 1‬‬ ‫آِ ‪ ْw‬ا‪ َ21‬دَة َ دِي ْ‪ْ 5‬‬ ‫ ‬ ‫ ‬ ‫‪V‬‬ ‫‪y‬‬ ‫‪V‬‬ ‫ ْفْ ا ‪َA‬ا ْ?‪.ْZ‬‬‫*ْ ّْ‬ ‫& َ ‪ْ ْ T‬‬ ‫ [ْ وْ و ا ْ‬ ‫‪ 5‬ا ‪ْ I‬‬ ‫‪ْ6‬‬ ‫‪ْ%P‬فْ ‪ْ ْ* x‬‬ ‫‪ ْ.R‬ا‪ّْ 1‬‬ ‫? ْ ‪ َ ْ.‬وَا ْ‬ ‫ْ‬

‫ط ا ُ َ‪&َ %‬اِزي‪.‬‬ ‫ ‪ْ َ,‬‬ ‫> َ= ا‪ْ u‬‬ ‫ ‪ َ -ِ %َ 2َ 1 ْ- =$‬ا‪ْ ُ 1‬‬ ‫ ْ َ ‪ْ ْ "َ َ ِ-‬‬ ‫هَ دْ ا‪ ّ1ِ َ َ 2َ 1‬رْ ْ‬ ‫‪%َ R‬آَ ا‪ $ ْ+ّ 1‬نْ ‪:‬‬ ‫‪َ%/‬ا َ‬ ‫‪َ%Y‬ة آِ َ شْ َ" ْ ْ‬ ‫ ْ‪ْ ْ 1 ْ- %‬‬ ‫ َ بْ ْ ْ ّْ‬ ‫دَا‪ُ. ْ َ& ْ4Vْ Tْ َ-‬وزْ ‪ْ 1‬‬ ‫‪ t‬ا‪َ 1‬ا ْ‪. ْwT‬‬ ‫‪ْ B‬‬ ‫‪ْ%J‬ى ْ ‪ْ 1‬‬ ‫?‪ ْo‬وْا ْ‬ ‫‪ t‬ا‪ْ $ 1‬‬ ‫‪ْ B‬‬ ‫‪َ.R‬ة ْ ‪ْ 1‬‬ ‫ َ‪%‬آَ تْ‪ ،‬وْ ْ‬ ‫ ‪َ%‬آ "َ ‪َ% ُ 1‬ة ْ&>َ وْ‪ ُD ْ'&ْ َ-‬جْ " ‪َ 1‬‬ ‫ا‪َ 1‬‬ ‫‪: ْV1‬‬ ‫‪ p‬ا ْ‬ ‫‪ْI‬‬ ‫ ‪َ%‬آ ‪ْ ْQ‬‬ ‫‪ُ َ K‬ه َ ا‪ ^ 1‬عْ "َ عْ ا‪َ 1‬‬ ‫أ‪ ِD‬دَا‪ ُ ُ! ْ َ-‬أ ْ‬ ‫‪)َ /‬آَ ْ ﯖَ د ة‪@ْ? ،‬شْ ؟‬ ‫ل َ‬ ‫?‪ ُ "ْ ْ' ْ ْ *ْ َ& ْo‬نْ ِإ ‪$‬‬ ‫‪ t‬ا‪ْ $ 1‬‬ ‫‪ْ B‬‬ ‫ ‪َ%‬آ ْ ‪ْ 1‬‬ ‫ا‪َ 1‬‬ ‫‪َ َD َR ِK =$ R‬آ ْ ‪ّ ْ+‬رْبْ‪.‬‬ ‫' ْ‬ ‫‪$ P‬ا‪ َ& 1‬آ ْ* َ‬ ‫‪ِ /‬ربْ ْ ‪ْ ّ 1‬لْ‪ّْ 1 ْ ،‬‬ ‫? ْ‪ = ْ? ُ ْ H‬ا‪َ $1‬‬ ‫ل ْ‬ ‫‪ِ h ِR‬إ َ‬ ‫‪ p‬ا &َا ْ ‪: ْq‬‬ ‫‪ْI‬‬ ‫ ‪َ%‬آ ‪ْ ْQ‬‬ ‫‪ُ َ K‬ه َ ا‪ ^ 1‬عْ "َ عْ ا‪َ 1‬‬ ‫أ‪ ِD‬دَا‪ ُ ُ! ْ َ-‬أ ْ‬ ‫ ا‪ َ 0P1‬نْ‪.‬‬ ‫‪)َ /‬آَ َ دْ َ وْ آ ْ‪ ،ْ) ّْ <ْ %‬رَا‪ِ ْF‬ه َ‬ ‫ل َ‬ ‫‪ p‬ا &َا ْ ‪ ُ "ْ ْ' ْ ْ *ْ َ& ْq‬نْ ِإ ‪$‬‬ ‫‪ْI‬‬ ‫ ‪َ%‬آ ‪ْ ْQ‬‬ ‫ا‪َ 1‬‬ ‫‪ p‬ا &َا ْ ‪.ْq‬‬ ‫‪ْI‬‬ ‫ َ‪%‬آَ تْ ِ‪ْ ْQ ّ1‬‬ ‫‪ ْ" ِ O‬وْ آَ ْ* َ ‪& ْa‬قْ ْﯖ عْ ا‪َ 1‬‬ ‫ زْرْ َ ا ْ‬ ‫‪ 6ُ $gِ- َ ِH1‬ا‪ْ+ّ 1‬رْ‪ِ َ ِ 01 َ-‬ه َ‬ ‫ ْ]‪ ِ 2ْ *ْ ،ْ#‬ا‪ َ 0/1‬دْ*َ ْ‪. $ ِ &ُ َ 1‬‬ ‫ َ‬ ‫‪ِ =$ R‬ه َ‬ ‫ا‪ْ+ّ 1‬رْ‪ْ َ-‬‬

‫ َ ‪:‬‬ ‫ ِ ‪ُ ِK‬آ‪َ%‬ة ْ ‪ْ 1‬‬ ‫ل‪ْ1‬‬ ‫&َ‪ @9‬إ َ‬ ‫‪ ْ. ِV/‬آ ْ ْ‪َ%‬ا ِ ا‪َ% ُ 1‬ة‪.‬‬ ‫ (َ آ ْ‪ ِ 2ْ *ْ ْe,ْ ْ %‬زْرْ‪ َ-‬ا‪ْ 1‬‬ ‫ ‪ْ 1 ْ" َ?ْ%‬‬ ‫ْ& ِ 'ْ َ" ْ ُ نْ ا‪َ% ُ 1‬ة ‪^ ، َ21 َl‬‬ ‫‪ ْ. ِV/‬آ‪ّ ْ+‬رْبْ ا‪َ% ُ 1‬ة‪.‬‬ ‫ (َ آ ْ‪ ِ 2ْ *ْ ْ" ِ%‬زْرْ‪ َ-‬ا‪ْ 1‬‬ ‫ ‪ْ 1 ْ" َ?ْ%‬‬ ‫ْ& ِ 'ْ َ" ْ ُ نْ ا‪َ% ُ 1‬ة هَ ‪^ ، Pْ-‬‬ ‫ل ِ ْ] ْ ا ُ&قْ‪.‬‬ ‫‪%َ R‬آَ َ دْ*َ وْ َآ ْ‪ِ ْe,ْ ْ %‬إ َ‬ ‫‪ t‬ا‪َ 1‬ا ْ‪ ُ ْ "َ ْwT‬نْ َ‬ ‫‪ْ B‬‬ ‫ ‪َ%‬آ ْ ‪ْ 1‬‬ ‫ْ* ْ‪ ِ 2‬ا‪َ 1‬‬ ‫*‪.ْ:‬‬ ‫ل ‪ ْ ْ ِD‬ا ْ‪ْ %‬‬ ‫‪%َ R‬آَ َ دْ*َ وْ َآ ْ‪ِ ْ" ِ%‬إ َ‬ ‫ل َ‬ ‫وْ ‪$‬‬ ‫*‪:ْK ِ9‬‬ ‫ا َ‬

‫ ‬ ‫‪V‬‬ ‫‪%َ R‬آَ ْ&ﯖَ د‪$‬ة‪ َ x ِ 2ْ *ْ ،‬دِي ْ" ْ‪ َB =َHV‬ﯕ)َة ‪:‬‬ ‫ل َ‬ ‫?‪ ُ "ْ ْ' ْ ْ *ْ َ& ْo‬نْ ِإ ‪$‬‬ ‫‪ t‬ا‪ْ $ 1‬‬ ‫‪ْ B‬‬ ‫ ‪َ%‬آ ْ ‪ْ 1‬‬ ‫ا‪َ 1‬‬ ‫ ‪ $T.ّ 1 ْ َ?ْ%‬‬ ‫‪ َ" َ /‬عْ ا‪ّ 1‬‬ ‫‪$ P‬ا‪ 1‬وْ ا‪0 1‬‬ ‫‪ Vx = Vox‬وْ ْ ْ‪ ْo‬ا‪ّْ 1‬‬

‫ا‪.

1ْ 1‬‬

‫ ‪.‬‬ ‫ ِه َ‬ ‫‪ِ m‬ه َ‬ ‫ ‪ ْ'&ْ َ?ْ%‬ا ّ"ْ ا &ْ َآ ْ ْ‪َ V‬‬ ‫ا‪^ 1‬‬ ‫‪ َFy‬لْ ‪:‬‬ ‫‪%َ R‬آَ َ دْ*َ وْ آ ْ ْ<ّْ ‪&ُ َ ِ ،ْ%‬جْ ْ‬ ‫ َ‬ ‫‪ t‬ا‪َ 1‬ا ْ‪ِ ْwT‬ه َ‬ ‫‪ْ B‬‬ ‫ ‪َ%‬آ ْ ‪ْ 1‬‬ ‫ا‪َ 1‬‬ ‫‪َ)/‬آ َ دْ َ وْ آ ْ‪.ْe,ْ ْ %‬‬ ‫ا‪ 4 !1‬ا‪ْ ّ 1‬لْ ُه َ َ‬ ‫ ‬ ‫ ‬ ‫‪V‬‬ ‫‪y‬‬ ‫‪.‬‬ ‫ ‪ َ?ْ%‬ا‪ (ْ 1‬‬ ‫‪ ْ"]ْ O‬دْ*َ لْ ^‬ ‫‪ َ g ْ. ِV/‬دِي ْ* ْ ْ‪ ْdH‬ا ّْ‬ ‫ّْ ْ]"ْ دْ*َ لْ زْرْ‪ َ-‬ا‪ْ 1‬‬ ‫ ‬ ‫ ‬ ‫‪Voy‬‬ ‫‪V‬‬ ‫‪.‬‬ ‫ ِوي ّ ْ]"ْ "َ عْ‬ ‫‪ْ&ّ ْQ‬لْ ّْ ْ]"ْ "َ عْ ‪َ ْ "َ y‬‬ ‫ ‬ ‫‪V‬‬ ‫‪.ْ) ْ B‬‬ ‫‪ 6ْ ِ m‬وَا‪ِ ِ 2ْ *ْ ُ1‬‬ ‫‪َ Vْ *ْ َ& =$ R‬‬ ‫‪ َ" ْ. ْ /‬عْ ‪ْ y‬‬ ‫وْ ْ&'ْ ْ‪َ.Vْ ْ "َ ْ.2ْ -‬ا ْ* ْ ْ‪ّْ 1 ْ ْdH‬‬

‫ ‪َ%‬آ َ دْ*َ وْ آ ْ‪.ْ" ِ%‬‬ ‫ْ&'ْ ْ‪ ْ.2ْ -‬ا‪َ% ُ 1‬ة َ دِي ْ" ْ‪َ.V‬ا ْ"‪َ -ْ ْj ِP‬‬ ‫ ‬ ‫‪Voy‬‬ ‫‪V‬‬ ‫‪.‬‬ ‫ ِوي‬ ‫‪ ْ. ْ /‬دْ*َ ‪َ ْ "َ َ 1‬‬ ‫‪ 1ْ *ْ =$ R‬ا‪ّْ 1‬‬ ‫ ‪ َ?ْ%‬ا‪ْ y (ْ 1‬‬ ‫‪ ْ. ْ /‬دْ*َ لْ ^‬ ‫‪ َ ْ. ِV/‬دِي ْ "ْ ا‪ّْ 1‬‬ ‫‪ ْ. ْ D‬دْ*َ لْ زْرْ‪ َ-‬ا‪ْ 1‬‬ ‫ّْ‬

‫‪ 6ُ َ R‬ا`‪.‬‬ ‫‪&َ I‬اِرزْ ِ َر ِ‬ ‫ َ بْ‪ ُV ْ ْ ْ ِ 2ْ *ْ ،‬هَ دْ‪ َH*%َP-ْ ِK‬ا ُ‬ ‫‪ْ 1 ُ-ْ%Y‬‬ ‫دَا‪ َ َ-‬دِي ْ ْ‪ْ.H‬رُو ْ ْ‬ ‫‪&َ I‬اِرزْ ِ َ ‪:‬‬ ‫ ِ) ‪ َ,‬ا ُ‬ ‫‪)َ /‬آَ ا ّ ْ‪ Q‬نْ ْ ‬ ‫‪ ْKFْ y‬دْ َ لْ َ‬ ‫ْ‬ ‫‪ َK‬دِي ْ= ْ‪ ُ ْ 1‬هِ‪َ 1ْ !ِ ْ% ْ #‬ة‪ ْ ،‬شْ ؟‬ ‫‪ َ#k‬عْ‪.‬‬ ‫‪ ،ْ Cِ S‬وْ هَ دَا َ‬ ‫‪ +َ ْ y‬آُ ْ ‪ْ ْ ْ َY‬‬ ‫‪ َ-=ْ ِ V‬وْدْ ا ْ‬ ‫ َادْ ْ ْ‬ ‫ل ْ ّ ْ ِ ا‪ْ Q‬‬ ‫‪ِ 0ُ = Q‬إ َ‬ ‫? ِ َ ‪:‬‬ ‫‪ ْ.R‬ا‪ َ َD َ 1‬دِي ْ ْ‪ ْo2‬وْ ْ" ْ‪ْ ^ 2‬‬ ‫هِ ‪ ْ%‬وَا ْ‬ ‫ ‬ ‫ ‬ ‫‪g‬‬ ‫‪Vo‬‬ ‫وْ ا ّ ْرْ َ وْ ا ْ‪!!!! α ْ: ْ ,‬‬ ‫)ْ‪ ْ"ّ Q َ1‬ا &ْ ‬‫‪َ) ْ 1‬ة َ دِي ْ ‪&ُF‬نْ ‪ َ] ِQ‬ا ‪W‬‬ ‫ي ِ‬ ‫أ ‬

‫دَا ْ َ نْ رْ ْ‪ َ] &ُ$‬دْ ا ‪ َ ْ# َ$‬شْ ْ ْ ْ] ُ& أ‪ْ5 َ%y‬ﯖ&لْ‬

‫‪ْ%P‬فْ ‪: Mx‬‬ ‫‪َ%R‬آ ا‪ّْ 1‬‬ ‫ا ‪ n‬رْ "َ عْ َ‬ ‫‪$ P‬ا‪.OMx 1‬‬ ‫‪ْ%P‬فْ ‪ّْ 1 ْ- Mx‬‬ ‫‪َ%R‬آ ا‪ّْ 1‬‬ ‫َ" ْ ْ‪ُ%Vْ 2‬و ا ‪ n‬رْ "َ عْ َ‬ ‫@]ْ ‪ َ8‬عْ ا~‪ h‬رْ ‪.‬‬ ‫ل ُ‪ْ A‬‬ ‫‪ َ8 ْ5D‬عْ ا َ‪ ْ."َ-‬وْ ‪ُ Mx‬ه َ ُ ْ‪ ْ}6‬وْ ‬ ‫‪ُ O‬ه َ ا‪ْ Q‬‬

‫ ‬ ‫ل َ‬ ‫?‪ ُ "ْ ْ' ْ ْ *ْ َ& ْo‬نْ ِإ ‪$‬‬ ‫‪ t‬ا‪ْ $ 1‬‬ ‫‪ْ B‬‬ ‫ ‪َ%‬آ ْ ‪ْ 1‬‬ ‫ا‪َ 1‬‬ ‫‪%َ R‬آَ ْ&ﯖَ د‪$‬ة‪ َ V x ِ 2ْ *ْ ،‬دِي ْ" ْ‪ َB =َHV‬ﯕ)َة‪.‬‬ ‫ َ‪%‬آَ ‪ُ 01‬ه َ ‪:‬‬ ‫آْ ‪ َ ِH1 $‬ا‪ $ 1‬سْ "َ عْ هَ دْ ا‪َ 1‬‬ ‫ِ‪ْ ّ1‬آ ْ ْ‪ َ V‬هَ ‪:‬‬

‫ & ا ‬ ‫ا & ْ‪ * :‬ا ‪ = 1)ّ-‬ا ّْ‬ ‫‪x = v × t +x i‬‬

‫ وَا ُ& ‪:‬‬ ‫‪$ P‬ا‪ ْ"ّ ْQ 1‬ا &ْ َ ِه َ‬ ‫‪ِ ،ْKB‬إ َذنْ ا‪ّْ 1‬‬ ‫ َ‪%‬آَ "َ عْ ُآ َ‪%‬ةْ ا‪1‬ﯖ ْ‪َ.Vْ ْ "َ ْw1‬ا ْ&'ْ ا‪ْ 6‬‬ ‫ْ& ‪ 0‬ا‪َ 1‬‬ ‫‪xi = 0‬‬ ‫! ِ ‪ ْ4‬دْ*َ ‪ َ َ 1‬دِي ْ* ْ‪: َ ِP2‬‬ ‫ل ‪ &ُ ,ْ 5ّْ َ ِD‬هَ دْ‪ْ ُ 1 ِK‬‬ ‫ِإ َ‬ ‫‪Vx = Vox‬‬ ‫)*( ‪OM x = Vox × t‬‬ ‫ل ِ 'ْ ‪ َD‬ا ‪ n‬رْ دْ*َ ‪ ُ1‬؟‬ ‫ل ﯕ ْ ‪ ُ ِ1 ْL‬مْ ْ&'ْ دَا‪ َ-‬دْ‪ ْ' ِ َH ِT‬وْ ْ‪ Mx ْwT‬وْ ‪$‬‬ ‫دَا‪ِ َ-‬إ َ‬ ‫ ِوي ‪. Vox‬‬ ‫‪ َ K‬لْ َ" ْ َ‬ ‫?‪ ُ ْ ْ%‬شْ ْ‬ ‫ ‪ْ َ& h ِR ُV‬‬ ‫ ْ‬ ‫&َ َ دِ*‪ْ "ْ ُ %ْ 2ْ "ْ ْu‬‬ ‫ ْ‬ ‫‪ْ ْ َ 5‬‬ ‫هَ دْ‪@ْ? ِK‬شْ ‪ْ َJ‬‬ ‫ ‪ُ ْF ُV‬ه َ ا‪ْ ّ 1‬لْ‪.‬‬

: ْ‫ آُ& ِ ُ&س‬ َ ‫ّ ِه‬1ِ ْ‫ ُ د‬2ْ 1 h 9ُ 1‫ ْ َ دْ*َ لْ ا‬91‫َ ا‬T@َ21 ْ- ُ&ْ.B ْ ْ ‫ َ دِي‬

ْ‫]َ م‬ْ

ْ‫ َ م‬ ْ 1‫ ْ]"ْ "َ عْ ا‬O ّْ ‫ا‬ . ْ) ِ Fْ ْ‫ْف‬%P ّْ 1‫ ُه َ ا‬Vo ْ‫ْ و‬W. ْ ‫ ْفْ ا‬U ّْ ‫ ُه َ ا‬Vox : ْ‫َ و‬H ْ ‫ َ َ دِي‬1 َ*ْ‫ْ د‬4 ِ ! ْ ُ 1 ْ‫ ُ ِ ُ س‬1‫َ ا‬T@َ? &ُ ,ْ 5ّْ Vox cos(α ) = Vo

: َ ِ َ %َ ُ ‫"َادْ ا‬1 ْ 6‫َ "َ عْ ا‬V ِ2 1 ْ-

cos(α ) Vox = 1 Vo

: َ ِP2ْ ْ "َ

cos(α ) × Vo = Vox × 1

: ْ%> ْ ِ ْ 6ْ ِ ? ْ ُV ْ Hْ ْ "َ ّ1ِ ِ!‫ َ بْ دَا ْآ‬ ْ 1‫ َ بْ ا‬5 ْ ُV ْ ْ ْ "َ ْm ِ ‫ْ أ‬4 ْ !ْ- ْ‫و‬ Vox = Vo × cos(α )

: ْ 01ْ *ْ ‫ِ َ دِي‬V‫َ تْ "َ عْ ﯕ‬T@َ21‫ا‬

Vx = Vo × cos(α ) OM x = Vo × cos(α ) × t (*)

.‫ْ ?ْ = هَ دُو‬%Y ْ ْ ْ "َ ِ ُ ْ%? ْ َ‫ ْ ُ ه‬K ْ $ ْ Tْ ‫ أو‬،‫َة‬% ْ R ْ َ / ْ ْ -ْ ْ‫َ ت‬T@َ21‫ْ هَ دْ ا‬O ّ2ْ ْ ‫ َ دِي‬ . ِ ُ-ْ‫َ و‬/"ْ ‫ْرُو‬.Hْ "ْ Mx ْwTْ ْ‫َ ِ 'ْ و‬, ِ ْ‫َ د‬-‫ِ ُ مْ ْ&'ْ دَا‬1 ْL ْ ‫ل ﯕ‬ َ ‫ ِإ‬،ْ6*ّْ َ-‫إ َو دَا‬ ‫ ؟‬M ْ‫ْ "َ ع‬QU ْ ُ 1 َ ‫ِ ُ مْ ِ َ ُه‬1 ْL ‫ل ﯕ‬ َ ‫ ِ 'ْ ِإ‬1َ‫و‬ .My ْwTْ ْ‫= ِ 'ْ و‬$ R ْ ْ‫ُ&م‬F9 ْ a ْ 6ُ $: ْu ِ َ‫&َ آ‬ .My ْ‫ْف‬%P ّْ 1‫َآ ا‬%R َ ْ‫ رْ "َ ع‬n ‫? َ= ا‬ ْ ُV ْ Hْ ْ ‫دَا ْآ!ِ ?ْ@شْ َ دِي‬ : My ْ‫ْف‬%P ّْ 1‫َآ ا‬%R َ ْ‫ رْ "َ ع‬n ‫ا‬ .OMy 1‫ا‬$ P ّْ 1 ْ- Mx ْ‫ْف‬%P ّْ 1‫َآ ا‬%R َ ْ‫ رْ "َ ع‬n ‫ُو ا‬%Vْ 2ْ ْ "َ .ْ) ّْ <ْ %ْ ‫آَ

َ دْ َ وْ آ‬%َ R َ َ ‫ْ ِه‬wTْ ‫ َا‬1‫ ا‬t ْ B ْ 1 ْ ‫َآ‬% َ 1‫ا‬

‫ َ‪%‬آَ ‪ُ 01‬ه َ ‪:‬‬ ‫آْ ‪ َ ِH1 $‬ا‪ $ 1‬سْ "َ عْ هَ دْ ا‪َ 1‬‬ ‫)ْ‪ َ1‬‬‫ا‪ّ * LْT 1‬زرْ‪ = َ%‬ا ‪W‬‬ ‫) ا‪ * LْT 1‬ا‪ّ * ( LْT 1‬زرْ‪ = ْd ّ * َ%‬ا & ا ‬ ‫ِ‪ْ ّ1‬آ ْ ْ‪ َ V‬هَ ‪:‬‬ ‫‪v = a × t + Vi‬‬ ‫‪1‬‬ ‫‪x = a × t 2 + Vi × t + xi‬‬ ‫‪2‬‬ ‫ ا‪ َT@َ21‬ا‪: َ ْ 91‬‬ ‫? ِ ْ‪ُ 6‬ه َ ا ُ& ْ ‪ ْq‬دْ*َ لْ ‪َ ِ 2ْ *ْ My‬د‪ِ َ ْ ْ ْ "َ 01 َ-‬ه َ‬ ‫‪ْ ُV ْ Hْ ْ "َ ّ1ِ َ R‬‬ ‫ْ‬

‫! ِ ‪ ْ4‬دْ*َ ‪ َ َ 1‬دِي ْ* ْ‪: َ ِP2‬‬ ‫ل ‪ ُ Hْ ّْ َ ِD‬هَ دْ‪ْ ُ 1 ِK‬‬ ‫ِإ َ‬

‫‪1‬‬ ‫‪a × t 2 + Vi × t + xi‬‬ ‫‪2‬‬

‫‪1‬‬ ‫‪a × t 2 + Voy × t + yi‬‬ ‫‪2‬‬

‫=‪x‬‬

‫= ‪OM y‬‬

‫ وَا ُ& ‪:‬‬ ‫‪$ P‬ا‪ ْ"ّ ْQ 1‬ا &ْ َ ِه َ‬ ‫‪ِ ،ْKB‬إ َذنْ ا‪ّْ 1‬‬ ‫ َ‪%‬آَ "َ عْ ُآ َ‪%‬ةْ ا‪1‬ﯖ ْ‪َ.Vْ ْ "َ ْw1‬ا ْ&'ْ ا‪ْ 6‬‬ ‫ْ& ‪ 0‬ا‪َ 1‬‬ ‫‪yi = 0‬‬

‫ َ دِي ْ" ِْ‪ ّ1‬ا‪ َT@َ21‬هَ آ‪: $‬‬

‫)**(‬ ‫ َ دِي ْ ْ‪ ْO ّ2‬هَ دْ ا‪ ُ/-ْ َT@َ21‬جْ‬

‫‪1‬‬ ‫‪OM y = a × t 2 + Voy × t‬‬ ‫‪2‬‬

‫‪ َ /‬تْ‪.‬‬ ‫ْ ْ‬

‫ ِوي ‪. Voy‬‬ ‫‪ َ K‬لْ َ" ْ َ‬ ‫?‪ ُ ْ ْ%‬شْ ْ‬ ‫ ‪ْ َ& h ِR ُV‬‬ ‫ ْ‬ ‫ْ‪ َ -‬لْ ﯕ‪ َ َ& َ ِV‬دِ*‪ْ "ْ ُ %ْ 2ْ "ْ ْu‬‬ ‫ ِ ُ سْ ‪:‬‬ ‫‪ َT@َ21 ْ- ُ&ْ.B‬ا‪ِ ّ1ِ 1ْ 1‬ه َ‬ ‫هَ دْ ا‪$%ْ 1‬ة َ دِي ْ ْ‬

‫ َ مْ‬ ‫‪ َ" ْ"]ْ O‬عْ ا‪ْ 1‬‬ ‫ا ّْ‬ ‫‪ْ%P‬فْ ‪.ْ% ِV ْ 1‬‬ ‫‪ْ U‬فْ ْﯖ ْ ‪ُ Vo ْ5‬ه َ ا‪ّْ 1‬‬ ‫‪ُ Voy‬ه َ ا ّْ‬

‫]َ مْ‬‫ ْ‬

‫! ِ ‪ ْ4‬دْ*َ ‪ َ َ 1‬دِي ْ ‪ َH‬وْ ‪:‬‬ ‫ل ‪ َT@َ? ُ Hْ ْ ّ َ ِD‬ا‪ ُ ِ 1‬سْ ‪ْ ُ 1‬‬ ‫ِإ َ‬

‫ َ ‪:‬‬ ‫‪َ"1‬ادْ ُ َ‪ِ َ %‬‬ ‫? ْ ‪ َ ْ.‬أ ْ‬ ‫ْ* ْ‪ْ ِ 2‬‬

‫َ" ْ ْ‪: َ ِP2‬‬

‫‪Voy‬‬ ‫‪Vo‬‬

‫= ) ‪sin(α‬‬

‫‪sin(α ) Voy‬‬ ‫=‬ ‫‪1‬‬ ‫‪Vo‬‬ ‫) ‪Voy = Vo × sin(α‬‬

‫ا‪ َ" َT@َ21‬عْ ﯕ‪ َ ِV‬دِي ْ" ْ‪: 01‬‬ ‫‪1‬‬ ‫‪OM y = a × t 2 + Vo × sin(α ) × t‬‬ ‫‪2‬‬ ‫)**(‬ ‫)‪.‬‬ ‫‪ْ ْ c‬‬ ‫‪ِ َ 4‬ه‪ّْ ْ +َ#‬‬ ‫ ِ‪ ،ْ51‬هَ دِ‪ ْ]C‬ا ّ@ْرْ َ‪ a +‬أ ْ‬ ‫& ْ ا ُ ْ‬ ‫ ْ ْ=َ وَا ْ‬ ‫ َ ‪ْ ِ6‬‬ ‫ ‬ ‫‪. g ْ92ِ1F‬‬ ‫ زْرْ‪ َ%‬ا ْ‬ ‫) ا َا ْ‪ِ ْ}6‬ه َ‬ ‫‪ْ y‬‬ ‫‪A 8‬قْ ْ ْ‬ ‫ْآ ﯕ" َ أ = ُ‪ 0‬ا ّ@ْرْ َ‪ $ +‬آَ ْ‪ْ +َ C‬‬ ‫ ‬ ‫[ ِ‪. g ْ #‬‬ ‫ زْرْ َ‪ +‬ا ْ‬ ‫ْ‪ ِ -ْ C‬ا ّ@ْرْ َ‪ $ +‬آَ ْ‪ِ a +َ C‬ه َ‬ ‫) ا َا ْ‪Aُ ْ] َK ْP َ Cِ ْ ْ}6‬قْ‪.‬‬ ‫‪ْ y‬‬ ‫ ‪ ،ْL‬وْا ْ‬ ‫[ ِ‪ ْ #‬هَ ْ‪ َ-%‬دِ‪ْ "ْ َ C‬‬ ‫هَ دْ زْرْ َ‪ +‬ا ْ‬ ‫[‪ َY‬تْ‪.‬‬ ‫‪ ِ -ْ Cْ ْ ُ .‬ا ُ ِ‬ ‫‪ Aُ! ْ F‬ا_ ْ‬ ‫‪ْ= ِ V‬ﯖ لْ ِ‪ ُ1#‬مْ ْ ْ‪ َ -‬آِ‪ َJ#‬شْ َ ْ‪ْ I‬‬ ‫ْ‪ْ ْ ْ5 ّْ 1ْ =ْ َ ْ5 ْ 6‬‬ ‫ل ا ْ‪.ْ'1ْ -‬‬ ‫[‪ +َY‬وْ ‬ ‫ ْ ْهُ مْ ْ= ْ‪ ْ'J‬ا ِ‬ ‫) ا َا ْ‪ْ sَC ُ= ُ1#ْ 8َ ْ}6‬‬ ‫‪ْ y‬‬ ‫ل ْ ْ‬ ‫ 'ْ وْ ‬ ‫) ا ْ‬ ‫‪ْ y‬‬ ‫‪ْ ْ ْ.Yُ %‬‬ ‫ا‪ْ Q‬‬ ‫ ْ‪: ْ51‬‬ ‫[ ْ ‪ ُ-‬هُ مْ ْ ‪ َY‬دْ ا ْ‬ ‫ 'ْ‪ْ ْ 8َ ،‬‬ ‫) ا ْ‬ ‫‪ْ y‬‬ ‫ ْ ْ [ْ ا‪ َ8 ْ` َF & /‬عْ ا ْ‬ ‫ ْ ْهُ مْ َ| ً‬ ‫ل آَ نْ ْ‬ ‫ِإ َ‬

‫ ْ‪: ْ51‬‬ ‫[ ْ ‪ ُ-‬هُ مْ ْ ‪ َY‬دْ ا ْ‬ ‫ 'ْ‪ْ ْ 8َ ،‬‬ ‫) ا ْ‬ ‫‪ْ y‬‬ ‫ ْ [ْ ا‪ َ8 ْ` َF & /‬عْ ا ْ‬ ‫& ْ ِ‪ ُY#‬مْ ْ‬ ‫ وَا ْ‬ ‫ل آَ نْ َ| ً‬ ‫ِإ َ‬

‫[ ْ‪ ْ Y‬دْ‪. َC‬‬ ‫) ُه َ ِ ّ َ ّْ‪ AُNJْ I‬ا ّ‬ ‫‪ْ y‬‬ ‫ ْ‪ ْ'1‬ا ّ‬ ‫‪ َK‬دِي ْ‪ َ C‬نْ ِ‪ ْ.1ُ #‬دَا َ أ = ُ‪ 0‬هَ دَاكْ ‪ $‬آَ نْ ْ‬ ‫) ا َا ْ‪ ُJ ْ] َK ْ}6‬قْ‪.‬‬ ‫‪ْ y‬‬ ‫ ‪ ْO‬وْا ْ‬ ‫[ ِ‪ ْ #‬هَ ْ‪ْ ْ َ-%‬‬ ‫ ِ‪ ْ51‬دْ‪ ، َ َC‬زْرْ َ‪ +‬ا ْ‬ ‫‪ ُ-S‬دَا َ ُ ْ‬ ‫ْ= ْ ْ‬ ‫[ ِ‪: ْ #‬‬ ‫[ ْ‪ َ8 ْ Y‬عْ زْرْ َ‪ +‬ا ْ‬ ‫‪ AُNJْ ّْ َ V‬ا ّْ‬ ‫ْ‪ْ ْ ِ -ْ C‬‬ ‫‪1‬‬ ‫‪OM y = × (− g ) × t 2 + Vo × sin(α ) × t‬‬ ‫‪2‬‬ ‫)**(‬ ‫ل ﯕ ْ ‪ ُ ِ1 ْL‬مْ ْ&'ْ دَا‪ َ-‬دْ ِ ‪ ْ' ِ َ,‬وْ ْ‪ْ.Hْ "ْ My ْwT‬رُو ْ"‪ َ/‬وْ‪. ِ ُ-‬‬ ‫إ َو دَا‪ِ ،ْ6*ّْ َ-‬إ َ‬

‫‪ُ%P‬و َ ْ‪ ُ/-‬جْ‪.‬‬ ‫? ْ ‪ْ.‬آُ مْ دَا‪ َ-‬ا‪ْ 1‬‬ ‫‪ َ" ْwTْ ُ 1 =$ R‬عْ ُآ َ‪%‬ةْ ا‪1‬ﯖ ْ‪ْ 6ُ ّ: M ْw1‬‬ ‫ع ْ" ْ‪ْ ِ ْ ِP2‬‬ ‫وْ ْ" ْ‪ْ.H‬رُو ﯕ ْ‬ ‫ ‪ َ,‬بْ‪.‬‬ ‫‪ْ ُ ْ c‬‬ ‫‪ ُ ْ -ْ =ْ َ V‬ا ْ ْ‪ َ ْO6‬دْ ْ= ْ‬ ‫دَا َ وْ ْ‪ْ ْ ْ}6ْ ُ ُ ْ -ْ =ْ َ #ِB ْ ْ 6‬‬

.ْL?ْ ْA ‫ ا‬Sَ ْ ‫ُوزُو‬9 ْ َ ,ْ% ْ}6ْ ُ ْ‫َ و‬9"ْ= َ V ْ ْ ،ْO6ْ ْ ْ #ِ ْ ْ‫َ و‬9 ْ =ْ ْ‫ َ ش‬#ِB ْ َ َ & ْ .OMy ْ‫ ْف‬U ّْ ‫ وْ ا‬OMx ْ‫ ْف‬U ّْ ‫ ْ ا‬#ِ ْ‫<َ ن‬2ِ +َ6 َ ْ‫َ و‬9"ْ= َ V ْ ْ ْ‫ َ ض‬Bَ ‫ ْ هَ دْ ا‬Cِ 9ْ =ْ ‫ش‬ ْ َ . َ ‫ ُو دَا‬Cِ =ْ ‫َ دِي‬K $ $4ْ‫هَ د‬ : M ْq &‫ا|[ رْ َ عْ ُآ)َة ا ﯖ‬ : ْ} ‫َ عْ ُآ َة ا ﯖ‬8 ْZ?ْ Aُ ْ‫َ و‬9"ْ =ْ ْ‫ َ ش‬+َ ‫ ُو‬U ْ ‫َ عْ ا‬8 ْ‫ُ ج‬S َ V ْ ْ .OMx 6ْ ِ َ-1 ْ ‫ َ ا‬0/1‫ْفْ ْ&'ْ ا‬%P ّْ 1‫ا‬ .OMy 6ْ ِ َ ْ ‫ َ ا &َا‬0/1‫ْفْ ْ&'ْ ا‬%P ّْ 1‫ا‬ : ُ ْ 1ْ =ْ ‫َ دِي‬K +َ ْ 1ْ ‫ ُو ْ"! ا‬V ْ َ 9ْ =ْ ْ‫ َ ش‬ y = OM y

ْ‫و‬

x = OM x .y َ Tْ ‫ َا‬1‫ وْا‬x َ ? ْ $ 1 ْ- M ْw1 ‫ﯖ‬1‫َة ا‬%‫ْ "َ عْ ُآ‬wTْ ُ 1 ُ ْ 2ْ ْ "َ ِ 2ْ *ْ : َ‫ ْ ُ ه‬1ْ ْ 8َ ْ‫و‬

M (x, y) : Mx ْ‫ْف‬%P ّْ 1‫َآ ا‬%R َ ْ‫ رْ "َ ع‬n ‫ َة ا‬Cِ [ ْ ‫ ا‬+َ ْ 1ْ ‫َ دْ ا‬Y ْ

x = Vo × cos(α ) × t (*)

: My ْ‫ْف‬%P ّْ 1‫َآ ا‬%R َ ْ‫ رْ "َ ع‬n ‫ا‬

1 y = × (− g ) × t 2 + Vo × sin(α ) × t 2 (**) .ْL?ْ ْA ْ* ْ42ِ‫َ تْ ْ< رْآ‬6 َ- ‫ هَ دْ ا‬0ُ = ‫ُ مْ أ‬1#ِ ْ‫ُ نْ َ ن‬1Cْ ‫َ دِي‬K .t ْ ْ ‫ َ ْ= ُوزُو‬V ْ ْ y ْ‫ و‬x ْ #ِ ْ‫<َ ن‬2ِ +َ6 َ ْ‫َ و‬9"ْ= َ ِ<-ْ ‫ل‬ َ ‫ ِ ِإ‬2ْ *ْ . َ ْ 91‫َ ا‬T@َ21 ْ َ‫ُ ه‬Uْ 2ْ ْ ْ‫ ?َ د‬t ‫ ِوي‬ َ ْ "َ ْ‫َ وْ أش‬H ْ َ >ْJ 6ُ $‫ أ‬ َ ‫َ ِه‬V ِ2 1‫ا‬ : +َ % ِ َ َ ُ ‫ َادْ ا‬ ْ Q ْ ْL?ْ ْA ‫ َ ا‬-ْ ْ ُSْ y ْ =ْ

t=

x Vo × cos(α ) (*) : ‫ ِوي‬, َ #ْ ‫ َآ‬$ ِ ‫ْ ْ َا ْآ‬P ُkْ -ْ =ْ t َ ِH1 $ ْ ِ َ‫وْدْرُوآ‬ 2

    1 x x y = × (− g ) ×   + Vo × sin(α ) ×   2  Vo × cos(α )   Vo × cos(α )  (**) . ُ" ْ 1ْ =ْ ْ‫َ بْ َ ش‬, ْ ْ‫َ ل‬Cْ‫َ تْ د‬#4 ِ ِ $ ‫َ عْ ا‬8 ‫ي‬ َ ِ4 ْ ُ ْ -ْ =ْ َ V ْ ْ َ‫دْرُوآ‬

: َ ‫َ ْه‬Y#ِ

ِ #ِS َ ْ ْ $ ْ #ِ‫ُ مْ ه‬1#ِ ‫َ دِي =ﯖ‬K : َ ‫ْ ِه‬A ‫َ ا‬2< ِ #ِA"ْ ‫ ْ ْ=َ ا‬ ْ n

n

a a   = n b b

: َ ِ 5 ْ

42 16 = = 4 = 2 × 2 = 22 2 2 4

َ ‫َ وْهَ ِه‬9"ْ 8َ 2

4 2   =2 2  

ِ -ْ Cْ

ْ‫ْ !ُ ُ هَ وَاش‬

4 2 = 4 × 4 = 16 2 2 = 2 × 2 = 4 ْ‫َ ب‬, ْ ْ‫ ْ ْ َ هَ د‬k ْ ‫ل‬ َ ‫ِإ‬

4  =2 2

: +َ #ِ D ْ 2 > ‫ ا‬2< ِ #Aِ"ْ ‫ ْ ُ وَاشْ هَ دْ ا‬-ْ 8ْ ‫ ْرُو‬9ْ 8ْ +َ9C U ‫'ْ ا‬Jْ ْ ْ (a × b) n = a n × b n : َ َCْ‫ د‬+َ6 َ- ْ ِ4ْ‫َ د‬Y ْ َ ‫ ْ ُ دَا‬y ْ =ْ ِS‫أ‬   1 x x y = × (− g ) ×  2  + Vo × sin(α ) × 2 2 Vo × cos(α )  Vo × cos (α )  2

(**)

: َ #ِU-ْ #ْ 8َ

1 x Vo × sin(α ) × x y = × (− g ) × 2 + 2 Vo × cos (α ) Vo × cos(α ) 2 2

: َ َCْ‫ د‬+َ6 َ- ‫ْ" ا‬Y, ْ =ْ ‫ ُو‬C@ِ=ْ ‫ ْرُو‬9ْ =ْ ِ "1ْ ‫?َ َ عْ ا‬,َ! ْ%

y=

(− g ) × x 2 + tan(α ) × x 2 2 × Vo × cos (α ) 2

: ْ y ّْ " ْ َ #ِU-ْ ْ ‫ِ ّ آ‬

(**)

.Zْ A‫ كْ ُآ َة ا ﯖ‬ ّ

ْ ْ ‫َ دِي‬c ْ‫ َ ش‬2ِ‫ آ‬5 ْ 1ْ H ّْ ْ% ْ‫م‬Aُ 2ِ ْ‫ل‬A‫ْرْ ْﯖ‬9Jْ ْ َ?,َ! ‫ َ دْ ا‬%ْ .ْ‫َ ب‬C

ْ ْ% ْ #ِ‫ ه‬، ‫ل وَا‬ َ ‫ َو‬+َ ْ[8ْ a ‫ ُو‬Cِ =ْ َ ْ ِ4ْ‫وْ هَ د‬

!!! α ْLIْ Jْ ‫ وْ ا‬Vo ْ‫ و‬g ْ‫َ ل‬Cْ‫ْ د‬9 ْ F ّْ ‫ ْ ا‬#ِ‫ُ مْ ه‬YU ْ ْ ‫ رَا‬y ْ‫ و‬x َ ‫ُو‬%P ّْ 1‫ ا‬6ُ $‫ ُ مْ أ‬1 ْ‫َ ن‬V*ْ ‫وْ َ دِي‬ .y &ُ ْ * ْ 5ْ ْ‫دْ و‬.َ ? َ ِK x ْ‫ِ ْ ل‬P2ْ ْ ، َ 1 َ*ْ‫ْ د‬O َ21 ْ 1 ُ ُ -ْ َ‫ ُ ه‬ ْ ْ% ْ ‫ْرُو‬.Hْ ْ َT@َ21‫هَ دْ ا‬ .ْ‫ رَا ُ ل‬i ‫ ْ ُه َ ا‬F َ َ !َ V ْ Jُ ْ ،ْ 2ِC1ْ K ْ ْPْ #$ , ْ =ْ ْ51ْ ‫& ْ ا‬ ْ ‫َ وْ وَا‬9"8 ‫ ِدي‬K َ ْP ُ ْ % ْ ْ‫ل ر‬ َ‫إ‬ .‫ َة‬1ُ ‫ ا‬0ْ #ِ ْ5D ْ ْ ْ 8َ ْ]@ ْ Aُ S ْ ‫ َ ُه َ أ‬4‫ أ‬،ْ‫ُ م‬1 ْ ّ % ْ ْ & ْ ‫ِ وَا‬4 ْ‫ُ م‬1# ْ Yْ k ْ ْ‫دَا َ أش‬ !! +َS‫ َا‬Jْ =َ‫ أر‬،5ِ1 ُ ! & ْ ْ Cْ ‫ َ آ‬0ْ Cّْ‫ إ‬0ْ #ِ ُ ‫َ دِي =ْﯖ‬K

‫ ُ‪: H ْ."َ- ْ P # % A‬‬ ‫أ ْآ ْ‪ْ ْ 1‬‬ ‫ي ِ ‪.ْZ*+‬‬ ‫‪َ ِK‬‬ ‫‪ْ َH*%ِP‬‬ ‫‪ُ.Vْ /‬و‪َ -ْ ْF‬‬ ‫‪َ%B‬ا ِ َ )**(‪ ،‬وَ‪ َ ْ' ِ 1‬دِي ْ ْ‬ ‫‪ُ.Vْ /‬و هَ دْ ‪ ْ'&ْ ُ 2ْ 1‬ا‪ْ 1ّ َT@َ21‬‬ ‫ْ ْ‪ْ.H‬رُو ْ ْ‬ ‫‪ْ%P‬فْ ‪. y‬‬ ‫‪ َ ْO َ2َ 1 ْ ُ ْ K‬دِي "ْ ‪ َH‬وْ أ‪ 6ُ $‬ا‪ َH ْ "َ ْ21‬وْ‪ّْ 1 ْ- ْF‬‬ ‫ل ْ‬ ‫إَ‬ ‫‪ 5‬ا ‪َA‬ا ْ?‪: ْZ‬‬ ‫‪ْ6‬‬ ‫‪ َ6 َ- ْ ُ ْ y‬تْ ‪ َ8‬عْ ا ْ‬ ‫‪ْ =ْ َ V‬‬ ‫ْ‪ْ ْ ِ -ْ C‬‬

‫) ‪Vy = (− g ) × t + Vo × sin(α‬‬ ‫‪1‬‬ ‫‪y = × (− g ) × t 2 + Vo × sin(α ) × t‬‬ ‫‪2‬‬

‫ ‪ َ?ْ%‬وَا ُ& ‪:‬‬ ‫‪ َ" ْ"]ْ O‬عْ ا‪^ 1‬‬ ‫‪ّْ ْQ m‬‬ ‫‪َ Vْ ْ "َ َ& ْQU‬‬ ‫? َ= &ُ ْ‬ ‫?‪ُ َ ْ ْ%‬ه َ أّ ُ‪ْ gْ 6‬‬ ‫‪ْ 01 َD َ 1‬‬ ‫‪Vy = 0‬‬ ‫ ِوي ‪ َ? t‬دْ ْ ْ‪ ُUْ 2‬هَ ْ ‪ َT@َ21‬ا‪. َ ْ 91‬‬ ‫ أ‪ َH ْ َ >ْJ 6ُ $‬وْ أشْ َ" ْ َ‬ ‫ا‪ِ َV ِ2 1‬ه َ‬ ‫[ ْ ْ وْ ا ُ ‪.+"َ َ9‬‬ ‫ي ْ‪E 8‬وزَانْ ‪ َ8‬عْ ا ْ‬ ‫‪َ ِ4‬‬ ‫& ْ ْ‬ ‫‪ ُ "ْ- ْ =ْ َ V‬وَا ْ‬ ‫‪ْ ْ ُ ,‬‬ ‫ ْ‬ ‫ْ‪َ ْ =ْ َ ْ5 ْ 6‬اوْ ْ= ْ‬

‫‪ ْ%Vْ /‬وْ ا‪ َ- َH ُ 1‬‬ ‫ا‪^.1‬وزَانْ "َ عْ ا‪ْ 1‬‬ ‫ َ بْ‪.‬‬ ‫ ّْ]‪ = ْ? ْK‬ا‪ $ 1‬سْ ‪ْ 1‬‬ ‫‪ ْ%Vْ /‬وْا‪ َ- َ- َH ُ 1‬شْ إ ْ‬ ‫‪&َ I‬اِرزْ ِ ا‪ َ ْ 1‬بْ دْ*َ لْ ا‪َ 1‬‬ ‫ْآ ْ ْ ا ُ‬ ‫‪ 0 ْ1 &ُ ,ْ 1‬هَ دِي وْ هَ أشْ َ" ْﯖ لْ ْ ‪ َ ْ 1‬بْ ‪:‬‬ ‫ َ بْ‪ْ ،‬‬ ‫? ّْ‪ْ 1 ْ.H‬‬ ‫ْ* ْ‪ َ- ِ!&َ ِ 2‬شْ إ ْ‬

‫‪َ.*ِ./‬ة‪.‬‬ ‫ َ بْ ا‪ْ 1‬‬ ‫ ‪ ْ%‬هَ دْ ‪ْ ْ" َH*%َl‬‬ ‫دْرُوآَ َ دِي ْ ْ‪َ.V‬ا ْ ْ ّْ‬

‫‪&َ I‬اِرزْ ِ ‪:‬‬ ‫" ْﯖ لْ ا ُ‬

‫ْ* ْ‪: ِ 2‬‬ ‫‪"َ 1‬دْ ‪.‬‬ ‫ َ بْ‪ 6ُ $gِ- ْL ِH1 ،‬دِ* َ َ‬ ‫ َ ‪ 6ْ ِ1 ُD‬ا‪ $ 1‬سْ ْ ‪ْ 1‬‬ ‫‪ ْLْ K‬أشْ َ" ْ ْ‬ ‫ْ& ‪ْ 0‬‬ ‫?‪َ.‬ادْ َ" ْ >َ وْ‪ ُ-‬هُ مْ ْ&'ْ ا‪.َ 2َ 1‬دْ ‪.1‬‬ ‫وْ ‪ ْL ِH1‬أ ‪ 6ُ $‬ﯕ عْ ا‪ْ :‬‬ ‫*&َا ْ {ْ ‪:‬‬ ‫> َ ْ ْر‪&ُ ْFْ *0‬جْ ْ ْ‬ ‫‪ْ J‬‬ ‫ َ بْ‪ْ ،‬‬ ‫‪ْ 1 ْ.R‬‬ ‫ل ْ‪ْ ِK ُ ْ2 ْ َ ِ<-‬‬ ‫ْ* ْ‪ ِ 2‬إ َ‬ ‫ َ بْ ‪ َ-‬شْ ْ ‪ َH‬وْ ا َ‪"َ $‬دْ‪.‬‬ ‫‪ ُ ِ- ُ-ْ%Y‬مْ ‪ْ 1‬‬ ‫‪ُ)/‬وفْ َ" ْ ْ‬ ‫ أ‪ 6ُ $‬ا‪:‬رْ‪ َT‬مْ ُ‬ ‫ا‪ َD َ 1‬ا‪ِ 1ْ 1‬ه َ‬ ‫‪ُ ْ"/‬ه َ ‪.1‬‬ ‫? َ‪.‬دْ وَا ْ‬ ‫?‪َ.‬ادْ آُ ُ مْ ْ&>َ وْ‪َ ْ'&ْ ْ' ِ-‬‬ ‫ا‪ َD َ 1‬ا‪ِ َ ْ 91‬هَ أ‪ 6ُ $‬ا‪ْ :‬‬ ‫ ْﯖ لْ ‪ ُ ِ1‬مْ ?ْ@شْ ‪:‬‬ ‫*)ُوفْ وْ ا‪6‬رْ َ مْ‪.‬‬ ‫‪%ِ Y‬ي َ دِي *ْﯖ ‪ ُ ِ1 ُ1‬مْ أ‪ 6ُ $‬ا‪َ ْ.1‬راِري َ" ْ ‪ ْ' ِ- ُP ْB‬ا ُ‬ ‫ ِ‬ ‫ل ْ ّ ْ ْ‪ َ" ْ' ِ ِّ2ْ ُ 1 ُ 1‬عْ ا‪ْ ّْ1‬‬ ‫ِإ َ‬ ‫‪َ%Y‬ة‪.‬‬ ‫*)ُوفْ هِ ‪ُ ْ%‬ر ُ&زْ َ" ْ ْ ْ ‪ ُ ِ- ُV‬مْ ا‪ْ ْ 1‬‬ ‫‪ َ<5‬رْ‪ ،‬ا ُ‬ ‫ ‪َ ْ.1 َV‬راِري ْ‬ ‫وْهَ دْ‪ َ? ِK‬دِي ‪ْ ّْ1 ْ- 6ُ $:‬‬ ‫ ‪ُ%‬وفْ‪.‬‬ ‫?‪َ.‬ادْ ‪ُ 1 ْ-‬‬ ‫‪ْ.Hْ ْ "َ َ R‬رُو ْ ْ ‪ ُV‬ا‪ْ :‬‬ ‫وْ‪ ُ ُ! ْ "َ h ِR‬ا‪6‬رْ َ مْ‪ْ "َ ،‬ﯖ ?ْ@شْ هَ دْ ا‪:‬رْ‪ْ َT‬م وْ ْ‬ ‫ َ بْ‪.‬‬ ‫‪ْ 1 ُ-ْ%Y‬‬ ‫‪ُ)/‬وفْ ‪ َ5‬وْ ْ‪ َ -‬هُ مْ َ شْ ْ ْ‬ ‫‪ُ =$ R‬ه َ ْ‬ ‫> َ ْﯖ ‪ ُ ِ1 ُ1‬مْ أ‪ 6ُ $‬ا‪6‬رْ َ مْ ْ‬ ‫‪ْ J‬‬ ‫ْه َ ْ‬ ‫ ْﯖ لْ ‪ ُ ِ1‬مْ &ِ‪ َ9‬لْ َ ْه‪: ْ4‬‬ ‫‪ ُ ُK‬هَ دْ ا‪ْ ِP2ْ ْ "َ 01 ِ9&ْ :‬هُ مْ ‪َ ْ.1‬راِري ْ ‪^%1‬وضْ ‪:‬‬

‫‪ َB m‬ﯕ)َة ؟‬ ‫‪ِ َ K‬ه َ ا‪َ ّ1ِ َD َ 1‬آ ْ ْ‪َ V‬‬ ‫أْ‬ ‫‪َ َ& ّ1ِ َD َ 1‬آ ْ ْ‪ُ ْu1ّ.V‬ه َ ا‪.َ 2َ 1‬دْ ُ&جْ‪.‬‬ ‫ ْ َ ‪.‬‬ ‫> َ ْ ْ‪ْ ِP2‬هَ ‪ْ ِK‬‬ ‫‪ْ J‬‬ ‫هَ دِ*‪ Z‬ا ‪ 9‬ﯕ)َة آِ ‪ ْw‬ا‪ َ21‬دَة ْ‬ ‫ل رْ ْ&‪.II ْ+‬‬ ‫‪ْ)/‬فْ وْ ‪$‬‬ ‫?‪ َP‬وْ ْ‬ ‫ا‪:‬ورُو 'ْ ْ‬ ‫ ُ& ‪.6ْ ِ-‬‬‫* َ‬ ‫‪ َ &ْ ْ.J‬شْ ‪ْ.Hْ ْ َ& ْh ِR ،ْ6 ِ-‬رُوشْ ْ‪ْ 5‬‬ ‫ ‪ْ%‬فْ "َ عْ ا‪:‬ورُو 'ْ َ‪ ِ *ِ.-‬وْ َ ْه‪ ْ4‬وَ‪ْ َ& ْ' ِ 1‬‬ ‫وَا‪ $J‬ا‪ْ 1‬‬ ‫*)ْفْ دْ*َ لْ ا‪ ُ ْ 1‬دْ‪ُ ّ1ِ ،‬ه َ ‪.2‬‬ ‫‪ َ J‬رْ َ ا ْ‬ ‫دَا ْآ!ِ ?ْ@شْ وْ‪ْ َ ِ1‬‬

‫‪ُ)/‬وفْ ا ُ< َ رْ ‪:‬‬ ‫ ‪ ْ 0‬ا‪:‬رْ‪ َT‬مْ ُ‬ ‫ ‪ ْ' 0‬آَ ُ َ" ْ ْ‬ ‫وْدَا ْآ!ِ ?ْ@شْ زْ& نْ‪ْ َ< ْ 1 ،‬ر‪ َ-‬وْ ا‪ِ 1َ. ْ :‬‬

‫ َ بْ‪.‬‬ ‫‪ُ%R‬وفْ ‪ْ 1‬‬ ‫>‪ْ ْZ‬‬ ‫‪ّْ J‬‬ ‫ ْ ‪ 12‬وْ ‪ْ 23‬‬ ‫ ْ‬ ‫ل ْ‪ْ "ْ ِ ِ<-‬‬ ‫ك َ دِي ْ* ُ نْ ‪ َ-‬نْ ‪ ُ ِ1‬مْ أ‪ِ 6ُ $‬إ َ‬ ‫دْرُو َ‬ ‫‪ُ ْ.R‬ه َ ‪: ِ 2ْ *ْ 1‬‬ ‫? َ‪.‬دْ وَا ْ‬ ‫?‪َ.‬ادْ آُ ُ مْ ْ&>َ وْ‪َ ْ'&ْ ْ' ِ-‬‬ ‫أ&‪ $‬ا‪ َD َ 1‬ا‪ َ ْ 91‬أ‪ 6ُ $‬ا‪ْ :‬‬ ‫‪0+1 = 1‬‬ ‫‪1+1 = 2‬‬ ‫‪2+1 = 3‬‬ ‫‪3+1 = 4‬‬ ‫وْز*‪ ْ.‬وْ ِز*‪...ْ.‬‬ ‫?‪َ.‬ادْ ا‪. َ ِ ْ ُ 1‬‬ ‫‪ْ`O‬رْ َ دِي "ْ ‪ َH‬وْ ﯕ عْ ا‪ْ :‬‬ ‫ َ وْا َ‬‫^)ْبْ وْ ا ْ‪ْ ,‬‬ ‫? َ ِ َ تْ ا ّ‬ ‫ل زْدْ"ُ َ‬ ‫ِو َ‬ ‫‪&َ I‬اِرزْ ِ ?َ َو َ" ِ ‪:‬‬ ‫‪ ُ2D‬دَا‪ُ َ-‬‬ ‫ْ ‪ْ ْ%‬‬ ‫ َ بْ‪.‬‬ ‫‪َ%J‬ى ُ& ِ ‪َ+-ْ $‬افْ ْ ‪ْ 1‬‬ ‫‪َ.R‬ة ا ْ‬ ‫‪ ْ.R‬ا‪ َD َ 1‬وْ ْ‬ ‫‪ َ B‬اِرزْ&ِ وَا ْ‬ ‫َ ْ ‪ ْL‬ا‪ُ 1‬‬‫‪ َ 5‬بْ ا‪ ، َ .َ ْ ْ 1‬ا‪ْ "َ َR َ ِ 1‬ﯖ ‪ \َ ْ) ُ َ ِ1 ُ1‬آِ ‪ ْw‬ﯕ ْ ‪.ْ4Vْ Tْ ْL‬‬ ‫? ْ ‪ ْ.‬ا ْ َ ْ* ْ‪ْ ِ 2‬‬ ‫َ نْ ‪ 6ْ ِ1‬أ‪ْ 6ُ $‬‬‫ ‪ ُV‬هَ ْ‪ َ -‬لْ ا‪. َR َ ِ 1‬‬ ‫ ْ‬ ‫‪ ْ.R‬ا‪ْ ْ "َ َD َ 1‬‬ ‫? ْ ‪ ْ.‬ا ّ‪ O%‬رْ وَا ْ‬ ‫‪ْ =$ R‬‬ ‫َ نْ ‪ 6ْ ِ1‬أ‪ْ 6ُ $‬‬‫&‪: @9‬‬ ‫!ِ‪%‬ي ‪ِ َ2 ْ ِK‬و*‪ َ2‬وْدْ ِ َ ا‪.ْQ ِV1‬‬ ‫? ْ ‪ َ ِK ْ.‬سْ ‪ ْ 1‬سْ ‪ َ-‬شْ ْ* ْ‬ ‫‪ْ ْ'&ْ ْQ ْ D‬‬ ‫‪ْ ْ.R‬‬ ‫‪ ِK‬وَا ْ‬ ‫ ْ رَاسْ ا َ لْ ؟‬ ‫ ْ‬ ‫آِ َ شْ َ دِي ْ* ْ‬ ‫?‪ْ."ْ n@n ْF َP‬رَا ْه‪: ْO‬‬ ‫‪ْ ْ.R‬‬ ‫‪ 4‬وَا ْ‬ ‫? ْ ‪ $ 1 ْ" n@n ْ.‬سْ‪ ،‬وْ ُآ ‪$‬‬ ‫‪ْ ْ'&ْ ْQ ْ D‬‬ ‫&َ‪ْ @9‬‬ ‫‪3× 3 = 9‬‬ ‫‪32 = 9‬‬

‫رَاسْ ا َ لْ ُه َ ‪ 9‬دْرَا ْه‪. ْO‬‬ ‫ ‪ْ 0‬هَ ‪ ْ' ِ ْ ْ 1‬ا ُ ^َ َر َ ‪.‬‬ ‫‪ ْQ ِ D‬ا‪ ْ 1‬سْ َ" ْ ْ‬ ‫هَ دْ ا‪ َ" َV ِ2 1‬عْ ْ‬ ‫^ ِربْ‪.‬‬ ‫ ‪ ْFْ 0‬ا ُ َ‬ ‫‪ ْ 1 ِP2ْ ْ "َ ْ.R‬سْ َ" ْ ْ‬ ‫ْ* ْ‪ ِ 2‬وَا ْ‬

‫ ‪ ْFْ 0‬ا ‪.ْK ِ َ$‬‬ ‫‪ِ Y‬ربْ َ" ْ ْ‬ ‫ ‪ ْO‬ا‪ Qَ &ْ ْj-ْ ْ%1‬ا‪َ ُ 1‬‬ ‫!ِ‪%‬ي ‪ ُ ِ-‬مْ ِو ْ‪ْ T‬‬ ‫‪ِ ْQ ِV ْ "َ ْ%J‬و ْ* ْ‬ ‫‪ْ | ْ.R‬‬ ‫وْوَا ْ‬ ‫‪. َ] ْ 1‬‬ ‫ ا‪َ x‬‬ ‫‪َr‬‬ ‫‪َ َO ِ"a‬ر ِ‬ ‫ ّ ‪ ْ 1 ْ- ْ#‬سْ "َ عْ أ ^م ا‪َ ْ' ِ &ِ ْb ُ 1‬‬ ‫‪ 0 B‬ا‪َ wِ ْ َ1 x‬و َ‬ ‫* "ْ َ‬ ‫ ُ"‪َ َ َ5‬‬ ‫هَ دْ ا‪ َV ِ2 1‬آَ نْ َ" ْ ‪ْ%*ِ.‬هَ َ‬ ‫‪ِ Y‬ر‪: ْ' ِ-‬‬ ‫? ْ ‪$+-ْ ْ.‬افْ "َ عْ ا‪َ ُ 1‬‬ ‫‪ ْQ ْ /‬رَاسْ ا َ لْ ْ&'ْ ْ‬ ‫ ِ 'ْ‪ ،‬ا‪ْ ْ "َ ْ4&ِ َ21‬‬ ‫ ُ ‪ ْL ِT‬ا‪ِ $V2ْ 1‬‬

‫ ‪ْ 0‬هُ مْ ‪ْ ّ1 ْ-‬ﯖ ِ ‪ْ" )ِ ْ َ*+‬رْ‪.‬‬ ‫‪ =$ R‬دْرُوآَ آَ ْ* ِ 'ْ هَ دْ ا‪ $ 2ْ 1‬لْ ْ ‪ ُV1‬رْ‪ْ ْ "َ ، َ5‬‬ ‫ْ‬ ‫ ‪ ُ2‬دْ‪.‬‬ ‫‪ْ`O‬رْ ُه َ ‪ n@n‬وْا َ لْ ُه َ ْ" ْ‬ ‫ ْ ‪ ْ49َ 1‬دْ*َ ل ﯕ‪ ِV‬ا ْ‬ ‫‪ َ B‬اِرزْ&ِ ‪:‬‬ ‫ ‪ْ%‬هُ مْ ا‪ُ 1‬‬ ‫وْ هَ آِ َ شْ َ" ْ ْ ّْ‬

‫! َ‪ ْ' ِ- ّ1ِ 6ْ V‬ا ُ )ْ \ْ وْ ا َ لْ‪.‬‬ ‫هْ َ َ دِي ْ*‪ َV‬نْ ‪ ُ ِ1‬مْ ا‪$ 1‬‬ ‫ْ* ْ‪ ِ 2‬أ‪ 6ُ $‬ا َ لْ "َ عْ ‪ُ 3‬ه َ ‪ 9‬وْ ْ`رْ ا َ لْ ‪ُ 9‬ه َ ‪.3‬‬ ‫ْ‪ َ -‬لْ ا‪: ْQ-$ْ% ُ 1‬‬

‫ )ْفْ ا ُ )ْ \ْ ‪ُ 9‬ه َ ‪. 3‬‬ ‫ْ* ْ‪ ِ 2‬أ‪ 6ُ $‬ا ُ )ْ \ْ "َ عْ ‪ُ 3‬ه َ ‪ 9‬وْ ْ‬ ‫‪. َ U‬‬ ‫? ْ ‪ ْ.‬ا‪ َ ِH1 ْ' ِ ْ %َ َ 1‬هُ مْ ْ&‪ ْ' ِP ْB‬ا‪ِ َH1‬‬ ‫‪ َ ْ ْ2"ْ h ِR َ R‬هَ دْ‪ْ ْ'&ْ ِK‬‬ ‫ْ‬ ‫? ْ ‪ُ.‬و ‪IَD‬رْ‪.‬‬ ‫َ" ْﯖ ‪ ُ1‬دَا‪ َ-‬ا ُ )ْ \ْ "َ عْ ‪ُ 3‬ه َ ‪ 9‬وْ ‪IْD‬رْ ا‪ُ 9 ْQ-$ْ% ُ 1‬ه َ ‪ Qَ &َ ،3‬أ‪ 6ُ $‬ا‪ْ َ& ْQ-$ْ% ُ 1‬‬ ‫ل &َ لْ‪ ُ ُ! ْ ْ.2ْ -ْ ْ'&ْ ،‬هَ ‪.‬‬ ‫آَ ْ* َ ‪ َ- َ َ*ْ+&ْ َH*%َl‬شْ &َ ‪ْ ِT َ-‬ﯖ ‪َ ْQ-$ْ%&ُ a ُ1‬و َ‬ ‫‪َ B‬ارزْ ِ& َ ‪:‬‬ ‫‪ َH*%ِP‬ا‪ُ 1‬‬ ‫ ْ! ُ دَا‪ َ-‬هَ دْ ا‪$ 1‬‬ ‫‪. ْ4D‬‬ ‫ ^ ‪ َ" ْL ِ ْ 2ْ ْ ّ1 ْ-‬عْ هَ دْ ا‪$%1‬ا ْ‬ ‫ل ْ"ّْ‪ َ*ْ+&ْ ُ 2ْ V‬نْ َ دِي ْ" ْ‬ ‫وْ ْه َ إ َ‬ ‫‪ ْ.R‬ا ‪ َ ْ <ْ W‬هْ‪.4‬‬ ‫ْ ْ‪َ.V‬اوْ ْ‪َ -‬ا ْ‬ ‫? ْ ‪ْ.‬كْ ؟‬ ‫‪ َ K‬لْ آَ نْ ْ‬ ‫‪ ُ ْ &ْ ِ *ِ.J‬مْ ُ&جْ دْرَا ْه‪ ْO‬وْ ْ‪ َ" [C[ ْZ ِ1 َH-‬عْ ا‪ْ.1‬رَا ْه‪ْ ،ْO‬‬ ‫‪ ْ ِK‬سْ ْ‬ ‫‪ َ B‬اِرزْ&ِ ‪:‬‬ ‫هَ آِ َ شْ َ" ْ ‪ ْ%*ِ.‬ا‪َ 1‬‬ ‫ ْ ْ=َ ا ‪: +َ6 َ-‬‬ ‫? ْء ‪ْ ِ -ْ Cْ ، x‬‬ ‫? ِ ُ مْ ا ‬ ‫ ‪ 0‬ا‪ ْ 1‬سْ ِ‪َ ّ1‬آ ْ ْ‪ْ ْ ّْH‬‬ ‫ْ‬ ‫‪x−2=3‬‬ ‫ ‪ْ 0‬هَ ا ُ ‪ َ$‬دَ ‪.‬‬ ‫هَ دْ ا‪ْ ْ "َ َT@َ21‬‬ ‫‪ O‬رْ !!‬ ‫? ْ ‪ ْ.‬ا ْ‬ ‫ل ْ‪ َH ْ" ُ ِ<-‬وْ ا ? ء د‪ْ ْFْ *0‬‬ ‫‪ َ B‬اِرزْ&ِ ‪ِ ،‬إ َ‬ ‫' ا‪ُ 1‬‬ ‫َ" ْﯖ لْ ‪َ ِ1‬‬

‫‪ُ) ّ O‬و ْ‪.‬‬ ‫> َ ْ‪ْ 5‬‬ ‫‪ْ J‬‬ ‫? ِ ْ‪ْ%ّ ْ &ْ 6‬سْ وْ ْ‬ ‫ ‪َ ،ْO‬ه‪َ.‬اك ا ? ‪ْ ُV ْH ْ "َ 01 x‬‬ ‫‪ َ R‬بْ ا‪ْ %$ 1‬‬ ‫?ْ = ْ‬

‫ ‪:‬‬ ‫‪ُ%Vْ /‬و‪ِ ْF‬ه َ‬ ‫َ" ْ ْ‬

‫‪x − 2+ 2 = 3+ 2‬‬

‫? ْ ‪: َ ْ.‬‬ ‫َ" ْ ْ‪ْ 01‬‬

‫‪x=5‬‬

‫? ْ ‪ِ.‬ي ‪ َ" 5‬عْ ا‪ْ.1‬رَا ْه‪.ْO‬‬ ‫ْ* ْ‪ ِ 2‬آَ نْ ْ‬

‫ َ بْ‪.‬‬ ‫‪ُ%Y‬و ‪ْ 1 ْ-‬‬ ‫! َ ‪ْ ْ ْ "َ ْ' ِ1‬‬ ‫ن ا‪ َ $ 1‬وْا‪$ 1‬‬ ‫ َ دِي *ْ نْ ‪ َ-‬نْ ‪ ُ ِ1‬مْ دَا‪@ْ? َ-‬شْ ْ ْ‪ْ.H‬رُو ْﯖ ‪ ُ1‬أ ‪$‬‬ ‫? ِ ْ‪ 6‬؟‬ ‫‪ h ِR‬ا‪$% ْ 1‬ا ْآ!ِ َ دِي *ْﯖ لْ ‪ ْZ ِ1‬وَاشْ ‪ ِ ِH1‬دَاكْ ا ? ‪َ 01‬آ ْ ‪ْ ْ ْH‬‬ ‫? ِ ْ‪ 6‬؟‬ ‫ل ا‪ َ ِ1 َ !1‬دِي ْ*‪ ُH‬لْ وَاشْ ْ ْ )ْ ِ دَاكْ ا ? ‪َ 01‬آ ْ ‪ْ ْ ْH‬‬ ‫أ&‪ $‬ا‪ ِ َ 1‬وْ ‪$‬‬ ‫‪َ&O‬ابْ !!‬ ‫ ‪َb‬الْ دْ*َ ‪ ْZ ِP2ْ ْ "َ 1‬ا َ‬ ‫ُه َ ْ ‪^ 1‬‬ ‫ي‪:‬‬ ‫‪َ ِK‬‬ ‫?‪ْ ْ%‬‬ ‫‪ ْ.R‬ا‪ ْ+<ْ ^1‬وْ ْ‬ ‫ْ ‪ُ.‬وزُو ‪َ 1‬ا ْ‬ ‫‪ ْ.R‬وْ ﯕ لْ ‪:‬‬ ‫ ّ ْ‪ ُ 1‬مْ ‪ ِK‬وَا ْ‬ ‫ل ْ‬ ‫ِإ َ‬

‫‪ 21 ِ #ِ9 ْ 8‬دْرْ ْه‪.ْ.‬‬ ‫ ْفْ ا‪ْ e‬‬‫‪ْ K‬فْ *ْ ّْ‬ ‫@ ْ ْ‪ْ ِ"%‬‬ ‫_ ُو َ‪ +‬وْ&ِ‪ْ G#‬‬ ‫‪ ُS !"ْ َY#ِ ْ ,‬جْ ْ‬ ‫< َة ْ‪ْ 6‬‬ ‫ ْ‬ ‫ْ‬

‫ ْ ‪:‬‬ ‫هَ ُه َ‪ A‬ا ْ‬

‫?)َة ْ ‪.X ِy ْK‬‬ ‫‪ْ 1‬‬ ‫‪ُ m‬ه َ ْ‬ ‫‪ْ%P‬فْ ‪َ -ْ 01‬‬ ‫‪ْ%P‬فْ ‪ ِ 2ْ *ْ ،X ِy‬ا‪ّْ 1‬‬ ‫‪ ْ.R‬ا‪ّْ 1‬‬ ‫ ‪ ِ 0‬وَا ْ‬ ‫ل ْ‬ ‫ِإ َ‬ ‫‪ْ U‬فْ ‪:‬‬ ‫‪ْ U‬فْ ْ ّ‬ ‫‪ ِ ْ ْ k‬ا ّْ‬ ‫‪ْ 5‬‬ ‫ِو‪َ C‬‬

‫‪X × (10 − X ) = 21‬‬

‫‪ْ c‬بْ ‪:‬‬ ‫وْ‪ ُ ُ4‬دَا َ آِ‪ َJ#‬شْ َ‪ّ ْ Cِ #ْ 8‬‬

‫ ‪ ُ ْ 1ْ ْ 8َ $‬هَ هَ آ ‪:‬‬ ‫‪10 X − X = 21‬‬ ‫‪2‬‬

‫ َا ْ‪.ْdC‬‬ ‫‪ َ ْ ،ْ 2ِ< ْ َY ْ #ْ ِ %‬لْ ْ= ِ‪ ْ #‬ا ْ‬ ‫هَ دْ ا َ‪ ّ ِ +َ#"ِ َ -‬دْرْ=َ أ ْ‬

‫< َاكْ‪.‬‬ ‫ َ ِ"‪ َ#‬تْ ا ْ‪ ْ 2ِ<I‬وْ ا ّْ" ْ‬ ‫[ ْ‪َ ،ْ Y‬‬ ‫ ‪ ْ5‬ا ّْ‬ ‫‪ ُY#ِ ُ ْ y‬مْ ْ‬ ‫ َ ِ"‪ َ#‬تْ َ‪ْ ْ 8‬‬ ‫ ْ ْ=َ ‪ ُS‬جْ َ‬ ‫ ‪ َ,‬بْ ْ‬ ‫ ْ" ْ‬

‫< ْ َو ا " ْ! ِ‪.ْ 2‬‬ ‫‪ ،!َ V‬ا ‪ْ I‬‬ ‫َ‪ْ 8‬ﯖ ُ ِ‪ ُY#‬مْ ْ َ‪ +َ# ِ َ -‬ا ُ‪ْ J‬‬ ‫‪ @ ْ ْ]V‬افْ ‪ َ8‬عْ ا ّْ" ْ ‪.ْ(2ِ2‬‬ ‫‪ّْ y‬‬ ‫ ْ َاآُ مْ ْ ‪ َY‬دْ ا َ‪ َ#"ِ َ -‬تْ َ‪ْ #ْ 8‬‬ ‫‪ َK‬دِي =ُ ر‪ ُ1C$‬مْ ْ ْ‪ ْ -‬ا‪ْ ،+"ِ| ْ Q‬‬ ‫ْ= ْ َاوْ ْ ‪Q‬رْ‪ َ6‬مْ ‪:‬‬

‫‪A = 3 × (5 + 2) = 3 × 7 = 21‬‬

‫ ُوهَ ‪:‬‬ ‫ل ْ ‪ْ =ّْ َ #ِB‬‬ ‫إَ‬

‫‪ َ#4‬ءْ ‪:‬‬ ‫‪ ُU"ْ y‬ا‪Q‬رْ‪ َ6‬مْ وْا‪ْ Q‬‬ ‫ْ= ْ‬ ‫)‪B = 4 × (2 × X + 1) + (3 × X − 1) × (4 × X + 5‬‬ ‫[ ْ ‪ ْR‬وْا ّْ ْ‪ َV9‬نْ ‪:‬‬ ‫‪ !"ْ +َ ,‬ا ْ‬ ‫‪ْ c‬بْ وْا ِ‪ْ 9‬‬ ‫‪ّْ +َ#9ِ َ %‬‬ ‫&`ْ ا‪ْ Q‬‬ ‫دَا ْ‪ْ ْ #ِU-ْ ْ 8َ َ C‬‬ ‫)‪B = 4 × (2 X + 1) + (3 X − 1) × (4 X + 5‬‬ ‫ ُوهَ ‪:‬‬ ‫ل ْ ‪ْ =ّْ َ #ِB‬‬ ‫إَ‬

‫ي‪:‬‬ ‫‪َ ِ4‬‬ ‫‪ْ +َ #ِ-D‬‬ ‫ ِ ّ ْ‬ ‫< َاكْ‪ ،‬هَ دِي ِه َ‬ ‫دَا َ ْ= ُ ُ ا ّْ" ْ‬ ‫ْ= ْ َاوْ ْ ‪Q‬رْ‪ َ6‬مْ ‪:‬‬ ‫‪A = 3 × 2 + 3 × 4 = 6 + 12 = 18‬‬ ‫ ُ آُ هُ مْ ‪:‬‬ ‫ل ْ ‪ْ =ّْ َ #ِB‬‬ ‫إَ‬

‫‪ َ#4‬ءْ ‪:‬‬ ‫‪ ُU"ْ y‬ا‪Q‬رْ‪ َ6‬مْ وْا‪ْ Q‬‬ ‫ْ= ْ‬

‫ "َ! ْ @ افْ ‪ َ8‬عْ ا‪.+"ِ| ْ Q‬‬ ‫‪ ُ1V‬مْ ّْ‪ْ ْ #ِ C ِ8‬‬ ‫ل ْ ‪ AُIJْ ّْ ُ #ِB‬ه دْ‪ْ ْ ِ4‬‬ ‫ِإ َ‬ ‫ "‪ E‬هَ ‪:‬‬ ‫ ‪ ْO‬ﯕ ِ‪ َ +"#‬شْ ْ= ُ ُ آِ‪ َJ#‬شْ ْ= ْ‬ ‫‪ َ- ُ ُ-S‬دَ ‪ْ َ8 +‬‬ ‫ْ= ْ ْ‬ ‫‪10 X − X 2 = 21‬‬ ‫‪ُ%Vّ/‬و ?ْ!‪َ%‬ة "َ عْ ا‪ َ K:‬ءْ ‪ َ 1 ْ- 10X‬لْ ‪: X2‬‬ ‫ أ‪ْ ْ 6ُ $‬‬ ‫‪َ P‬ة ا‪ِ 1ْ 1‬ه َ‬ ‫‪ْ B‬‬ ‫ا‪ْ 1‬‬

‫‪10 X = 21 + X 2‬‬ ‫‪&َ I‬اِرزْ ِ َ ‪:‬‬ ‫إ َو دَا َ هَ ِه‪ +َ#‬ا ُ‬

‫‪ ْ ,‬هَ دْ‪.ْ`#ِ6ْ ّْ ْ ِ4‬‬ ‫‪ ُ-"ْ y‬شْ ‪ َK‬دِي ْ= ْ‪ّْ J‬‬ ‫ َ ْ‪ْ 8‬‬

‫ ‪:5‬‬ ‫‪ َ#4‬ءْ‪ِ ّ ِ ،‬ه َ‬ ‫ َة ‪ْ Q ْ8‬‬ ‫ ْ‬ ‫‪ ْW,‬ا ّْ ‪ َ8 ْr‬عْ ْ‬ ‫&ْ‬ ‫ْ‬

‫‪10 = 5‬‬ ‫‪2‬‬

‫ ‪: َY‬‬ ‫ل ا َ لْ ‪ْ َ8‬‬ ‫‪ ُ ِ -ْ Cْ ، َY,‬دْ ا ُ ْ ‪ ْR‬وْ ‬ ‫‪ْ Jْ ْ ْ َY ْ ْ k‬‬ ‫ْ‬ ‫‪2‬‬

‫‪10 × 10 =  10 ‬‬

‫‪2‬‬ ‫‪‬‬ ‫‪ = 5 = 25‬‬ ‫‪ 2 ‬‬ ‫`‪:4‬‬ ‫دْرُوآَ ْ= ْ‪ 21 َY ْ ْ ْr9‬دْرْ ْه‪ Rَ ْ $ ْ.‬ا َ لْ َآ ْ ْ َ‬

‫‪2‬‬

‫‪2‬‬

‫‪2‬‬

‫‪ 10 ‬‬ ‫‪‬‬ ‫‪ − 21 = 25 − 21 = 4‬‬ ‫‪ 2 ‬‬ ‫‪ْ U‬فْ ‪ َ8‬عْ ا ُ ْ ‪ُ $ 4 ْR‬ه َ ‪: 2‬‬ ‫ل ا ّْ‬ ‫‪<ْS‬رْ ‪ َ8‬عْ ا َ لْ وْ ‬ ‫ُ دْ ّ‬ ‫‪2‬‬

‫‪ 10 ‬‬ ‫‪‬‬ ‫‪ − 21 = 4 = 2‬‬ ‫‪ 2 ‬‬ ‫‪ َ#4‬ءْ ‪َ8‬ﯖ ِ‪: 3 ْ]#ِU-ْ ْ 8َ +َ"#‬‬ ‫ َة ا‪ْ Q‬‬ ‫ ْ‬ ‫ْ= ْ‪ َ8 ْf ّْ ْ ْ ُV9‬عْ ْ‬ ‫‪2‬‬

‫‪10 −  10 ‬‬

‫‪‬‬ ‫‪ − 21 = 5 − 2 = 3‬‬ ‫‪ 2 ‬‬

‫‪2‬‬

‫‪ْ U‬فْ ‪.‬‬ ‫& ْ ا ّْ‬ ‫‪ُ 3‬ه َ وَا ْ‬ ‫‪ْ U‬فْ ا~ ْ ْ ‪:‬‬ ‫‪ْ y‬جْ ِ‪ ْ]#‬ا ّْ‬ ‫‪ َ#4‬ءْ ْ‪ْ C‬‬ ‫ َة ا‪ْ Q‬‬ ‫ ْ‬ ‫ "َ! ْ=‪ْ ْr‬‬ ‫‪ِ ِ #ِB ْ 5‬ز‪<ْS ْ C‬رْ ا َ لْ رْ ْ ‪ْ +َ-‬‬ ‫ِو‪َ C‬‬ ‫‪2‬‬

‫‪10 +  10 ‬‬

‫‪‬‬ ‫‪ − 21 = 5 + 2 = 7‬‬ ‫‪2‬‬ ‫‪‬‬ ‫‪‬‬

‫‪2‬‬

‫ ْ ْ ْ *ْ‪.‬‬ ‫& ! ‪ !َ9‬هَ دْ‪ َK ، ِ4‬دِي =ْﯖ لْ ِ‪ ُ1#‬مْ َ ْ‬ ‫‪ْ ْ5S‬‬ ‫‪ ِ= ُ ْ ّ %‬آِ‪ ْ}#‬دَارْ هَ دْ ا ا ْ‬ ‫ل ْ‬ ‫ِإ َ‬ ‫‪ْ9# ِ ْ ُ ْ y‬رْ‪.‬‬ ‫‪Aَ 6‬اِرزْ ِ ‪ َ2‬تْ‪ ،‬وْ ُه َ ِ ّ َ‪ْ #ْ 8‬‬ ‫ ْ ا ُ ْ‪ُ ْ #ِ% ِ ْ Y‬ه َ ِ ّ َ‪ ُ 9ْ ْ #ْ 8‬هَ دْ ا ُ‬ ‫ ُ ‪ َ ْ #ِ6‬أوْ َ‬ ‫‪ْ c‬بْ ‪ َK‬دِي ‪ْC‬ﯖ لْ وَا‪ ْP‬هَ دْ‪ُ ِ4‬آ"‪ َ E‬شْ =ْ"‪ َ9‬وْ ‪ 3‬و ‪.7‬‬ ‫‪ْ S‬وْلْ ا ّْ‬ ‫& ْ &َ ْ ْ ْ‬ ‫‪ ِ4‬وَا ْ‬ ‫‪ُ c‬و َ‪ +‬فْ ‪.7‬‬ ‫‪ْ ْ 3 َ ْ a ْ]V‬‬ ‫ل ْ ‪ّْ ْ 21 ِ #ِB‬‬ ‫رَا‪ ْ ْ +َ Cْ َ ْP‬ا " ّ ْلْ أ = ُ‪ِ 0‬إ َ‬

‫‪ َK‬دِي =ْﯖ لْ ِ‪ِ ْ]#‬إ َ‬ ‫ل ﯕ"‪ ْ]#ِ ْO‬هِ‪ْ ّ ْ ْ #‬لْ ‪ 21‬دْرْ ْه‪ ْ.‬بْ ‪ 21‬دْرْ ْه‪ ْ.‬وْ ْ=‪: ْr‬‬ ‫‪10 X = 21,5 + X 2‬‬ ‫ ‪.ْ5‬‬ ‫` ا ْ‬ ‫[ ّ ْبْ وْ ‪ ُ4‬فْ وَاشْ ْ‪َ "ْ 8‬‬ ‫& ْ ُه َ أ =]ْ ْ‪ْ 8‬ﯖ ْ‪ْ 8ْ ْ -‬‬ ‫&‪ ْ5‬وَا ْ‬ ‫ ْ ْكْ ْ‬ ‫أشْ ‪ َK‬دِي ْ‪ْ ،ْ Cِ 8‬‬ ‫ ‪ َ,‬بْ‪.‬‬ ‫‪ !"ْ ْ ّْ .‬ا سْ ْ‬ ‫‪ َ y‬اِرزْ ِ ْ " ْلْ أ = ُ‪ْ 0‬آ ْ ‪ ْW‬هَ دْ‪ َ ِ4‬شْ إ ْ‬ ‫دَا ْآ ِ ْ شْ ﯕ ِ‪ َ #‬ا َ‬

‫‪ َ y‬اِرزْ ِ ‪:‬‬ ‫وْ َ‪ ْ C@ِ#ْ 8‬ا َ‬

‫‪ْ ّ V‬رُو أ = ُ‪: 0‬‬ ‫ْ‪ْ 8ْ ِ -ْ C‬‬ ‫‪2‬‬

‫‪10 X = 26 + X‬‬ ‫‪2‬‬

‫‪ 10 ‬‬ ‫‪  − 26 < 0‬‬ ‫‪ 2‬‬

‫‪ +"#ِ َ ,‬وْ ‬ ‫ ‪ ِ -ْ Cْ ،ْ5‬أ =‪ َ- ُ َY‬دَ ‪ْ ُ +‬‬ ‫ ْ ْهَ شْ ا ْ‬ ‫َ‪ْ#8‬ﯖ لْ َ ْ‬ ‫ل َ َآ ْ‪ َ C‬شْ ْ َا ِ‪.ْR6‬‬ ‫ َادْ ا ْ ْ‪.ْ Cِ 9ْ -‬‬ ‫‪ ُY ْ #ْ ِ %‬مْ ا‪ْ Q‬‬ ‫ َادْ ْ‬ ‫& ْ ا‪ْ Q‬‬ ‫ ‪ َ #ِU-ْ Cْ َ8 ْ5‬وَا ْ‬ ‫ْ ْ ْ ْ‪ َ #ِ9 ْ -‬أ = ُ‪ 0‬ا ْ‬ ‫‪. ِ"Iْ .‬‬ ‫ َادْ َ ْ= ْ‪ْ 9‬رُوشْ ْ= ْرْ‪ ُ%‬ا ‪ِ ِ ْ ِ -ْ Cْ Ec‬‬ ‫ ْ هَ ْد ا‪ْ Q‬‬ ‫ ْ‪: ْ51‬‬ ‫ي ُ ‪ َ-‬دَ ‪ َY ْ +‬دْ ا ْ‬ ‫ ‪#8 ،ْ(2ِ2 ْ "ّْ ْ% ْ5‬ﯖ ل ِ‪ ْ]#‬أ = ُ‪ 0‬أ ‪$‬‬ ‫وْ ‪ َ #‬دَا َ َ‪ْ 9ْ ْ 8‬رُو =ْ"‪ َ9‬وْ ا ْ‬

‫‪+c =0‬‬

‫‪a× X 2 + b× X‬‬

‫ ‪ُ ْ5‬ه َ ‪:‬‬ ‫ا ْ‬

‫‪−b − b − 4ac‬‬ ‫‪2a‬‬

‫=‪X‬‬

‫‪−b + b − 4ac‬‬ ‫‪2a‬‬

‫=‪X‬‬

‫‪2‬‬

‫ل‪:‬‬ ‫وْ ‪$‬‬

‫‪2‬‬

‫ ِ‪ ْ51‬ا ّ@ْ نْ‪.‬‬ ‫‪ْ ُ ُ-S‬‬ ‫[ ْ ْ وْ ا ُ ‪ْ ْ =ْ ،+"َ َ9‬‬ ‫ي ْ‪E 8‬وزَانْ ‪ َ8‬عْ ا ْ‬ ‫‪َ ِ4‬‬ ‫دَا َ ْ ‪ْ ُ "ْ-8ْ $‬‬ ‫ ِوي ‪ َ? t‬دْ ْ ْ‪ ُUْ 2‬هَ ْ ‪ َT@َ21‬ا‪: َ ْ 91‬‬ ‫ﯕ َ أ‪ َH ْ َ >ْJ 6ُ $‬وْ أشْ َ" ْ َ‬ ‫‪Vy = (− g ) × t + Voy‬‬ ‫وْ ‪Vy = 0‬‬

‫ "ُ ‪: tc‬‬ ‫‪ 0ْ #ِ ْ5D‬ا ُ‪َ 1‬ة ‪ْ !"ْ Q‬‬ ‫‪ َK‬دِي ْ=‪ ْ #$ ْ,‬ا ْ ْ‪َ ّ ِ ْO6‬آ ُ ْ‬ ‫‪0 = (− g ) × tc + Voy‬‬ ‫ْ= ْ‪ْ 9‬رُو ْ= ْ‪ ُ ْ 1‬هَ ‪:‬‬

‫‪Voy − ( g × tc ) = 0‬‬

:

Voy ‫[ ْ ُو‬ ْ =ْ

Voy = g × tc : 0ُ = jِ ُ ْ -ْ ْ 8َ

Voy = Vo × sin(α )

: + َ‫َ د‬- ُ ْ ْP ُkْ -ْ =ْ

Vo × sin(α ) = g × tc

: َ1. ْ َI"ْ ْ ْ‫َاد‬9 ْ ‫َ =ِ أ‬8ْ َ َ=ْ ْ ْ Vo × sin(α ) tc = g : yc ْPْ #$ , ْ =ْ ‫َ دِي‬K ّ "ْ- ‫َ وْ ا‬9"ْ =ْ ‫ ْرُو‬9ْ =ْ tc ُ" ْ !"ْ ‫َ عْ أ‬8 ْO6ْ ْ ‫ َ ا‬#ِ9 $ ْ َ‫دْرُوآ‬

1 yc = × (− g ) × tc 2 + Vo × sin(α ) × tc 2

: tc ُkْ -ْ =ْ 2

 Vo × sin(α )   Vo × sin(α )  1 yc = × (− g ) ×   + Vo × sin(α ) ×   2 g g     : +َ"#ِ ‫ْ َ لْ ﯕ‬ n

n

a a   = n b b

: ِ -ْ Cْ

1 (Vo × sin(α ))2 (Vo × sin(α )) 2 yc = × (− g ) × + g2 g 2

[Vo × sin(α )]

2

:

[Vo × sin(α )] =

2

yc

g

g

َ ‫ ُه‬$ ْ‫ ُوك‬ ْ ْ ‫& ْ ا‬ ْ ‫ ْ ْ=َ وَا‬ ْ

 1  ×  − + 1  2  : َ #ِ ْ‫ ْج‬y ْ #ْ ‫َآ‬

[Vo × sin(α )]

2

yc =

2× g : َ ‫ ُه‬H ْ]@ ْ Aُ S ْ ‫نأ‬ ‫ ِ أ‬-ْ Cْ

H=

Vo × sin (α ) 2g 2

2

. ُ"-ْ ‫ْ ا‬W, ْ ْ =ْ ْ‫ ْر‬9ْ =ْ E ْ@8ْ ‫َ دِي‬K ْ‫ َ ش‬α L َ 2ِIJِ "& ‫ وْ ا‬Vo ْA ‫ْ? ا‬9ّ ْ* +َ ْ , E ‫َ لْ ا‬Cْ‫ْ د‬9 ْ F ّْ ‫ ْ ِي ا‬ ْ ‫ل‬ َ ‫وْ دْرُوآَ إ‬ .ْ} ْ ‫ ْ ُآ َة ا ﯖ‬#ِU8ْ ‫َ دِي‬K ْ #ِ ُ ْ -ْ =ْ َ #ِB ْ 0ُ = ‫ ُه َ أ‬+َS َ& ْ ِ T .ْ‫رْض‬Q‫ ا‬Rَ ْ ‫ َة‬1ُ "ْ8 +َ ْ V ّْ ‫ وْ ا‬+َ# ْ ْ ّ ‫ ْ ا‬#ِ ْ‫َ ع‬C ِّ ْ‫َ و‬9"ْ= َ V ْ ْ ِ -ْ Cْ .OA ْ."َ- ْ ْP َ #$ % ْ ّ ِ َ ‫َ عْ ُه‬C"ِّ ‫هَ دَاكْ ا‬

: OA ْ‫َ ع‬C"ِّ ‫ا‬ : Aُ ‫ْ" وَا‬- ‫ُ نْ ا‬1#ْ 8َ ْ‫رْض‬Q‫ ا‬Rَ ْ ‫ َة‬1ُ ‫ ْبْ ا‬c ْ ّْ8َ G#ِ& y=0 : OA + ‫ ا‬U ّ ‫َ عْ ُه َ ا‬C"& ‫وْا‬ x = OA

: (**) +َ6 َ- ْ ِ4ْ‫ َ هَ د‬k ْ ْ ّ ْ ‫ل‬ َ‫إ‬

y=

(− g ) × x 2 + tan(α ) × x 2 × Vo × cos 2 (α ) (**) 2

: َ #ِ ْ‫ ْج‬y ْ #ْ 8َ 0=

(− g ) × OA2 + tan(α ) × OA 2 2 × Vo × cos (α ) 2

: ‫ ْ ُ هَ هَ آ‬1ْ ْ 8َ $

  g 2 tan(α ) × OA −   × OA = 0 2 2  2 × Vo × cos (α )  : tan(α)*OA ‫[ ْ ُو‬ ْ =ْ

  g 2 tan(α ) × OA =   × OA 2 2 α 2 × Vo × cos ( )   : +َ % ِ َ َ ُ ْ‫ َاد‬ ْ ‫ ْ ْ=َ أ‬ ْ

tan(α ) OA2 =   OA g  2 × Vo 2 × cos 2 (α )   

6 × 3 18 = =9 4 2 2

: ْ‫ َ ب‬ ْ 1 ْ

%َ J ْ | ‫َة‬.R ْ ْ‫! َ و‬ ِ * ِ"ْ

: ْ‫ َ ل‬-ْ

: ْ ِ ْ %ّْ ْ َ 1 َ*ْ‫َ د‬T@َ21 َ‫ُوه‬%*ِ. ْ َ ! ِ * ْ 1‫ْ ا‬oْ ْ

tan(α ) OA2 =   OA g  2 × Vo 2 × cos 2 (α )     2 × Vo 2 × cos 2 (α )  : ْ‫ُ ق‬J

ُ2 ْP ْ

2 × Vo2 × cos 2 (α ) × tan(α ) OA2 = g OA : َ َCْ‫ د‬+َ6 َ- ‫ْ" ا‬Y, ْ =ْ ‫ ُو‬C@ِ=ْ ‫ ْرُو‬9ْ =ْ ِ "1ْ ‫?َ َ عْ ا‬,َ! ْ%

2

OA = OA

2 × Vo 2 × cos 2/ (α ) ×

sin(α ) cos(α )

g : ْ‫ َ ب‬ ْ 1 ْ

%َ J ْ | ‫َة‬.R ْ ْ‫! َ و‬ ِ * ِ"ْ

22 2 × 2 4 = = =2 2 2 2

: ْ+ ِ ْ ّْ1 ْ-

sin(α ) × 2 × Vo 2 × cos(α ) OA = g : ‫ ْ ُ هَ هَ آ‬1ْ ْ 8َ $

Vo 2 × 2 × sin(α ) × cos(α ) OA = g : ْ‫ِ ُ م‬1 ْ‫* ْ َ ش‬0‫ ُ &َ وْر‬R ْ ْ%*ْ `‫ِ ا‬5 َ ْ‫َ ءْ ا ُ&ز‬Q&َ ‫َ "َ عْ أ ُ& ا‬T@َ21‫ْ ا‬.R ْ ‫آَ ْ* َ وَا‬ sin(2α ) = 2 × sin(α ) × cos(α )

: ْ+ ِ ْ ّْ1 ْ-

OA =

Vo × sin(2α ) g 2

. َ *‫ ِ َ وْ زِْو‬J ْ َT@َ? َ ْ. ْ ? ْ ْ‫َ شْ ْ" ُ ن‬- ْ% ِ‫ْ ه‬F َ ْ‫^ دْر‬1 ُ‫ِ آ‬Kْ‫هَ د‬

‫ ْ‪: ْ)F‬‬‫‪ ْ"/‬ا ِ‪ o‬لْ دْ َ لْ ا ْ‪ْ $‬‬ ‫ْ‪ &ُQ&ُ?5‬وَا ْ‬

‫‪ َ y‬رْ ‪:‬‬ ‫& ْ ا ْ‬ ‫& ْ ا ْ ‪ َY‬رْ ﯕ ِ‪ ْ]#‬ا فْ رَا‪ ْP‬وْ‪ َ "ْD‬وَا ْ‬ ‫‪ ُ1%‬مْ ْ ا ِ‪ ،+َ#-ِ َ ْ ْ ْ ْ #‬وَا ْ‬ ‫‪ْ ّ V‬رُو رَا ْ‬ ‫ْ‪ْ 8‬‬ ‫‪ ُ #ْ U‬هَ ‪.‬‬ ‫‪ِ =ْ َ V‬‬ ‫‪ ، َ ْ ْ c‬وْ ْ ْ‬ ‫‪ #U‬رَة ‪ْ 8ْ َCّ َS‬‬ ‫& ْ ا ّ‬ ‫وَا ْ‬ ‫ ‪ َU‬كْ ا فْ‬ ‫وْهَ هُ َ ا ْ ‪ َ "ْ-‬تْ ِ ّ ْ‬ ‫ "ِ‪ َ #‬بْ ‪ِ 40‬آ ِ ْ" ْ ‪.‬‬ ‫ ْ وْ ْ ‪َ #ِ-‬ة ْ‬ ‫‪ +َ ,‬ا ْ ْ‬ ‫‪ #U‬رَة ‪ + C َS‬بْ ‪ِ 960‬آ ِ ْ" ْ *ْ ‪ +َ# َ ، َ C‬بْ ‪ِ 13‬آ ِ ْ" ْ ْ ّْ ْ‬ ‫ا ّْ‬ ‫? َ ُه َ ‪ُ)%ْ ِ 610‬و‬ ‫‪ْ َ" ْ. ْ /‬‬ ‫ ‪ ، َ?ْ%‬ا‪ّْ 1‬‬ ‫‪ ْ.R‬ا‪^ 1‬‬ ‫‪ْ%Y‬بْ ْ‪َ -‬ا ْ‬ ‫? ْ ‪ْ.‬آُ مْ َآ ْ ْ‬ ‫?‪ 6ُ $gِ- ِ ْ ْ%‬ا‪ْ ّ1ِ ْQ ْ ْ. َ 1‬‬ ‫ْ‬

‫‪. َ 5ِ o Q‬‬

‫ل ا ا ِو َ ‪َ 60 َ] ِQ‬د َر َ ؟‬ ‫‪ ْ.R‬ا‪ ْL ْ Hْ 1‬وْ ‪$‬‬ ‫‪ ْ.D‬ا‪ ْQ ْ ْ. ْ 1‬وْ ْ" ِ ّْ ‪َ -ْ 6ْ ِ- ْu‬ا ْ‬ ‫>‪ َ" ْZ‬عْ ا‪ َ- ْLTْ ْ 1‬شْ ْ" ْ ّْ‬ ‫‪ّْ J‬‬ ‫‪ َ K‬لْ ْ‬ ‫ْ‬ ‫ ‪:‬‬ ‫‪%ِ<ْ ْ 1 ْ ْ" ِ O‬بْ ِه َ‬ ‫‪ ْ"]ْ O‬دْ*َ لْ ا ّ رْ َ َ عْ ا ْ‬ ‫ن ا ّْ‬ ‫ َ دِي ْ ْ‪ ْVH‬أ ‪$‬‬ ‫‪2‬‬

‫‪s‬‬

‫‪g = 9,8. m‬‬

‫‪ْ) ْ 1‬هَ ‪)ْ< ْ ْQ‬بْ !!‬ ‫‪ْ ْ"/‬‬ ‫‪ْ ِy ْ) ّْ 1‬‬ ‫َو‪ْ َ a‬‬

: ْO َ21 ْ ْ4 ِ ! ْ ُ 1‫ ُ ا‬ ْ ْ% ْ ‫ َة‬P ْ J ْ ْ‫أ ّوْل‬

: ْ4 ِ ! ْ ُ 1 ُ ْ%P ْ ْ

.‫َ ﯕ)َة‬B =َHVْ "ْ ‫ َ دِي‬V x ِ 2ْ *ْ ،‫ة‬$‫آَ ْ&ﯖَ د‬%َ R َ ‫ل‬ $ ‫ْ &َ ْ* ْ ْ 'ْ ْ" ُ نْ ِإ‬o? ْ $ 1‫ ا‬t ْ B ْ 1 ْ ‫َآ‬% َ 1‫ا‬ : ْ‫َ ت‬T@َ21‫ْ َ ا‬. ْ ? ْ ِ 2ْ *ْ ،ْKB ْ 6‫ْ ا‬c ْ ‫ ْ "َا‬%ْ َ َ‫آ‬%َ َ 1‫ ا‬0 &ْ Vx = Vo × cos(α ) x = Vo × cos(α ) × t : َ ِP2ْ ْ "َ ْ‫ َ ب‬ ْ1 m

m

s

s

Vx = 610 × cos(60) = 610 × 0, 5 = 305. m x = 305 × t

s

.ْ) ّْ <ْ %ْ ‫آَ

َ دْ َ وْ آ‬%َ R َ َ ‫ْ ِه‬wTْ ‫ َا‬1‫ ا‬t ْ B ْ 1 ْ ‫َآ‬% َ 1‫ا‬ : ْ‫َ ت‬T@َ21‫ْ َ ا‬. ْ ? ْ ِ 2ْ *ْ ،ْKB ْ 6‫ْ ا‬c ْ ‫ ْ "َا‬%ْ َ َ‫آ‬%َ َ 1‫ ا‬0 &ْ

Vy = (− g ) × t + Vo × sin(α ) 1 y = × (− g ) × t 2 + Vo × sin(α ) × t 2

: َ ِP2ْ ْ "َ ْ‫ َ ب‬ ْ1 Vy = (−9,8)

m s

2

m

× t + 610 × sin(60) = −9,8 × t + 610 × 0,866 s

Vy = −9,8 × t + 528, 26 1 m m y = × (−9,8 2 ) × t 2 + 610 × sin(60) × t = −4,9 × t 2 + 528, 26 × t s s 2 2 y = −4,9 × t + 528, 26 × t

: ْ‫َال‬b ُ ‫ي‬ 0 ‫ ُ مْ ?ْ = أ‬-ْ ْ‫َ و‬/ ْ ْ‫ْر‬.Hْ ْ ْ‫َ ت‬T@َ21‫ َ دْ ا‬-ْ َ‫ ِ دْرُوآ‬2ْ *ْ Vx = 480. m

s

x = 480 × t Vy = −9,8 × t + 528, 26

y = −4,9 × t 2 + 528, 26 × t ‫)ْ ؟‬%ْ ِ ِ‫ آ‬13 ْ‫َ ِ َ ب‬1 َD َR ِK .َ 2ْ -ْ ُ-ْ%Y ْ ْ ‫ْرُو‬.Hْ ْ ْ‫ ُه َ وَاش‬6ْ ِ ? ْ ُ-ْ‫َ و‬/ ْ َ > ْ J ْ .َ 2ْ -ْ ْ‫َال‬bَ ُ ْ‫أ ّوْل‬ : +َ ُ ْ 9ْ ‫ ا‬0ْ #ِ ْ5D ْ ُ8 ْ 1ْ ْ Cْ ّ ِ H ْRk ْ ُ !"ْ ‫َ وْ أ‬9"ْ= َ V ْ ْ ِ -ْ Cْ : َ #ِ9 ّ ِ +َ6 َ- ْ ْRk ْ ُ !َ" ْ ‫َ وْ أ‬9"ْ= ‫ ْرُو‬9ْ =ْ

H=

Vo 2 × sin 2 (α ) 2g .ْ‫َاد‬.? ْ : ْ- ْF ُ ُ!"ْ ْ‫َ ش‬- ْ‫ َ ب‬ ْ 1 ْ‫َ وْد‬2 ْ ْ' ْR ْ ْ' ِ 1َ‫و‬ : &ُ ‫ْ?َ وَا‬% ^ 1‫ ْ]"ْ "َ عْ ا‬O ّْ ْQ m َ Vْ ْ "َ َ& ْQU ْ ُ& =َ ? ْ gْ 6ُ ّ‫ْ ْ َ أ‬%? ْ Vy = 0 : َ َCْ‫ْ د‬51ِ ْ ُ ْP "ْ9=ْ

Vy = −9,8 × t + 528, 26 = 0 : ِ -ْ Cْ

(528, 26

m

) − (9,8

s

m s

× t) = 0

2

: 523,26 ‫[ ْ ُو‬ ْ =ْ 528, 26

m

m

= 9,8 × t

s

s

2

: َV ِ َ َ &ُ ْ‫َاد‬.? ْ‫أ‬ t=

528, 26

m s

9,8

m s

= 53,9.s

2

: H

y = −4,9

m s

2

ْRk ْ ُ !"ْ ‫َ وْ أ‬9"ْ= ‫ ْرُو‬9ْ =ْ ْO6ْ ْ ‫ َ ا‬#ِ9 $ ْ

m

× 53,92 + 528, 26 × 53,9 s

: ِ -ْ Cْ y = −14235,525 + 28473, 214 = 14237, 689.m

‫ ْ ‪: ْ ْ ِ "ِ1‬‬ ‫‪y ≈ 14, 7.km‬‬ ‫‪ #U‬رَة فْ ا ْ‪ َ8 ُ"-‬عْ ‪ 13‬آِ" ِ ْ ‪.‬‬ ‫ "ِ‪ ْ #ِ Cْ َS ْ]#‬ا ّْ‬ ‫ل َ‬ ‫إ َو دْرُوآَ ‪ َK‬دِي ‪ْ8‬ﯖ لْ فْ‪َ ،‬و َ‬

‫‪ + ُ ْ 9ْ ْ5D‬أّْ ْ‪ َ8 ُ"-‬عْ ‪ 13‬آِ" ِ ْ ْ ؟‬ ‫‪ِ ُ ْ -ْ =ْ َ V‬إ ْ "َ ‪ َK‬دِي ‪ْ ُ8‬‬ ‫دَا َ ْ ْ‬ ‫‪ ُ ,‬ا ‪: ْL?ْ ْA‬‬ ‫ ْ‬ ‫‪ْ =ْ َ V‬‬ ‫‪ِ ,‬وي ‪ 13‬آِ" ِ ْ ْ أو ْ ْ‬ ‫ْ‪َ ْ 8َ y ِ -ْ C‬‬ ‫‪y = 13.km‬‬ ‫ْ‪: ِ -ْ C‬‬ ‫‪m‬‬

‫‪× t 2 + 528, 26 × t = 13.km‬‬ ‫‪s‬‬

‫‪m‬‬ ‫‪2‬‬

‫‪−4, 9‬‬

‫‪s‬‬

‫‪ ُ1V‬مْ ْ‪ َ !"ْ ُ= ُ18‬لْ‪ ْrْ ْG#ِ& ،‬ا ‪ +َ6 َ-‬وْ ‬ ‫ْه َ ْ ْ‬ ‫ل ا ُ ‪ َ-‬دَ ‪ ُ18ْ +‬نْ ْ‪ ْ[ ْ Iْ %‬ا ْ!‪ َ1‬رْ‪.‬‬ ‫ل ْ‪.ْ'1ْ -‬‬ ‫ ّ ْلْ ‪ ْ ْ ِ ْ ْ ِ "#ِ1‬وْ ‬ ‫ ْ ْ=َ ا ِ‪ ْ "ْ ِ Aُ2‬وْا ِ ْ" ْ‪ْ 8ْ sِCَ ِ -ْ Cْ ،‬‬ ‫وْ ْه َ ‪ َK‬دِي ْ‪ َ C‬نْ ِ‪ ُ1#‬مْ أ = ُ‪ْ 0‬‬ ‫& ْ‪.‬‬ ‫ َ دْ وَا ْ‬ ‫ ْ= ْ ْ ا ‪ ُ ْ ْ =ْ َ #ِB ْ ْG#ِ& ،ْ ْ ِ ْ ْ ِ "ِ1‬هِ‪َ ْ #‬‬ ‫ْ ‪ َY‬دْ ا َ ‪ ،+‬ا ‪ ,‬هْ"‪ِ +‬ه َ‬ ‫ْ‪ َK ِ -ْ C‬دِي ْ‪ ّ ِْ 8‬ا ُ ‪ َ-‬دَ ‪: +‬‬ ‫‪m‬‬

‫‪× t 2 + 528, 26 × t = 13000m‬‬ ‫‪s‬‬

‫‪m‬‬ ‫‪2‬‬

‫‪−4, 9‬‬

‫‪s‬‬

‫ َ بْ ‪ َ-‬شْ ْ ‪ َH‬وْ ا‪.ْLTْ ْ 1‬‬ ‫دْرُوآَ ْ ْ‪ْ.H‬رُو ْ ْ‪َ.V‬اوْ ‪ْ 1‬‬ ‫ ْ‪ْ َ% ْ51‬ه‪:ْ5‬‬ ‫ْ= ْ‪ ُ ْ 1‬ا ُ ‪ َ-‬دَ ‪ْ ْ +‬‬

‫‪(528, 26 × t ) − (4,9 × t ) = 13000‬‬ ‫‪2‬‬

‫‪ْ 4‬ء ‪:‬‬ ‫[ ْ ُو ‪َ 528,26‬‬ ‫ْ= ْ‬

‫) ‪(528, 26 × t ) = 13000 + (4,9 × t‬‬ ‫‪2‬‬

‫ل ا‪َ ْQ-$ْ% ُ 1‬و‪: ْ" ِ/‬‬ ‫ ُ ‪ َ2 ُ 1‬دَ‪ 1‬آُ َ ?ْ = ‪ َ- 4,9‬شْ ْ* ْ‪ =َHV‬ا‪ َ 1‬لْ وْ ‪$‬‬ ‫ْ ْ‪ْ H‬‬ ‫‪107,8.t ≃ 2653,1 + t 2‬‬ ‫‪ َ y‬اِرزْ ِ ‪: +َ#‬‬ ‫إ َو دَا َ ا ُ‬ ‫ ‪: 53,9‬‬ ‫‪ َ#4‬ءْ‪ِ ّ ِ ،‬ه َ‬ ‫‪ ْW,‬ا ّْ ‪ َ8 ْr‬عْ ‪ْ Q ْ8 107,8‬‬ ‫&ْ‬ ‫ْ‬ ‫‪107,8‬‬ ‫‪= 53,9‬‬ ‫‪2‬‬ ‫ ‪: َY‬‬ ‫ل ا َ لْ ‪ْ َ8‬‬ ‫‪ ُ ِ -ْ Cْ ، َY,‬دْ ا ُ ْ ‪ ْR‬وْ ‬ ‫‪ْ Jْ ْ ْ َY ْ ْ k‬‬ ‫ْ‬ ‫‪53,9 × 53,9 = 2905, 21‬‬

‫‪m‬‬ ‫ل ا‪ َ 1‬لْ َآ ْ ْ‪َ V‬‬ ‫دْرُوآَ ْ= ْ‪ُ)%ْ ِ 2653,1 َY ْ ْ ْr9‬و ‪ Qَ &ْ 01‬ا‪ ْQ-$ْ% ُ 1‬وْ ‪$‬‬

‫‪: 252,11‬‬

‫‪2905, 21 − 2653,1 = 252,11‬‬

‫‪ْ U‬فْ ‪ َ8‬عْ ا ُ ْ ‪ُ $ 252,11 ْR‬ه َ ْ‪: 15,9 ً Cِ 9ْ 8‬‬ ‫ل ا ّْ‬ ‫‪<ْS‬رْ ‪ َ8‬عْ ا َ لْ وْ ‬ ‫ُ دْ ّ‬ ‫‪252,11 ≈ 15,9‬‬

‫ْ ْ‪ َ" ْd ّْ ْ'&ْ ُ>H‬عْ ‪ْ Q ْ8 107,8‬‬ ‫‪ َ#4‬ءْ ‪َ8‬ﯖ ِ‪: 38 ْ]#ِU-ْ ْ 8َ +َ"#‬‬ ‫‪53, 9 − 15,9 = 38‬‬

‫‪ ِ1 َ? ْQU‬بْ ‪ 13‬آِ ِ& ْ ‪ْ%‬‬ ‫‪ْ ُ 1 ْ.R‬‬ ‫‪ ْ45‬ا‪َ 1 1 ُV ْ Hْ 1‬ا ْ‬ ‫ ‪ َ t' ْFْ 0‬دِي "ُ ْ‬ ‫ْ* ْ‪ْ ْ ْLTْ ْ 1 ْ ِ 2‬‬

‫‪:‬‬

‫‪t ' = 38.s‬‬

‫‪: ْ)a‬‬ ‫‪ْ%B‬جْ ‪ ْZ ِ1‬ا &ْ ْ ‪ ْ:‬ا| ْ‬ ‫? َ= ْ ‪ْ *ْ 107,8 ْd‬‬ ‫‪ِ ِ ِ<-ْ 4‬ز*‪IْD ْ.‬رْ ا‪ َ 1‬لْ ‪ْ 252,11‬‬ ‫ِو* َ‬ ‫‪53, 9 + 15,9 = 69,8‬‬

‫‪t '' = 69,8.s‬‬

‫ْ* ْ ْ 'ْ ْ ْ ‪ َH‬وْ هَ دْ ا‪:‬وْ‪ َT‬تْ ْ ْ ّْ‪: ْ ِ ْ %‬‬ ‫هَ ا‪ َT@َ21‬دْ*َ ‪: َ 1‬‬ ‫‪m‬‬

‫‪× t 2 + 528, 26 × t = 13000m‬‬ ‫‪s‬‬

‫وْهَ ا‪ َ ّ1ِ َT@َ21‬دِي ْ ِ ْ ‪ُ+‬و‬

‫‪m‬‬ ‫‪2‬‬

‫‪−4, 9‬‬

‫‪s‬‬

‫? ِ َ ‪:‬‬ ‫ْ‬

‫‪+c =0‬‬

‫‪a× X 2 + b× X‬‬

‫‪ ُ2D‬هُ مْ ْ‪ َ -‬لْ ْ‪ َ -‬لْ ‪:‬‬ ‫ َ دِي ْ ‪ْ ْ%‬‬ ‫‪m‬‬

‫‪× t 2 + 528, 26 × t = 13000m‬‬ ‫‪s‬‬

‫‪m‬‬ ‫‪2‬‬

‫‪−4, 9‬‬

‫‪s‬‬

‫‪−4, 9 × t + 528, 26 × t − 13000 = 13000 − 13000‬‬ ‫‪2‬‬

‫‪−4, 9 × t 2 + 528, 26 × t − 13000 = 0‬‬

‫‪−4, 9 × t 2 + 528, 26 × t + (−13000) = 0‬‬ ‫إ َو دْرُوآَ ‬

‫ْ‪ُ ْ ِ 5‬و ‪:‬‬

‫‪ َ&ْ.B‬دْ*َ لْ ا‪ $ 1‬سْ "ْ ‪ ُ21‬مْ ُه َ ا ّْ‪ْ ِ ْ %‬‬ ‫‪ َ" َ ْ ْQ ْc ِ- ْ a‬عْ ا‪ْ 1‬‬ ‫ْ‬

: َ ‫ْ ُه‬5 ْ ‫ا‬

−528, 26 − (528, 26)2 − 4 × (−4,9) ×13000 t'= 2 × (−4,9) ==>

−b − b 2 − 4ac X= 2a

ْ% ْ &ِ ِ‫ آ‬13 ْ‫ِ ب‬1 َ? ْQU ْ ُ 1 ْ.R ْ ‫ َا‬1 1 ُV ْ Hْ 1‫ْ ا‬45 ْ ُ" ‫ َ دِي‬t' ْFْ 0

ْ ْ ْLTْ ْ 1 ْ ِ 2ْ *ْ t ' = 38.s

: ْ%J ْ ‫ْ ا‬4 ْ 1‫ا‬

X=

−b + b2 − 4ac 2a

t '' = ==>

−528, 26 + (528, 26)2 − 4 × (−4,9) × 13000 2 × (−4,9) : ْ)a ْ |‫ْ ا‬: ْ ْ& ‫ْ ا‬Z ِ1 ْ‫ْج‬%B ْ *ْ t '' = 69,8.s

: َ ِH1 ّ1ِ 0Kْ‫ ُ هَ د‬ ْ ْ% ْ َ ِD ‫إل‬

:

َT@َ21 ْ- ْ‫ُ هُ م‬V ْ ْ ْ "َ ْV1 ْ ‫ ا‬p ْI ْ ْQ ّ1ِ X" ْQU ْ ُ 1‫ وْ ا‬X' ْQU ْ ُ 1‫ا‬

m

m

X " = 480 × t '' = 480 × 69,8.s = 33504.m

X ' = 480 × t ' = 480 × 38.s = 18240.m

s

X " = 33, 504.km

s

ْ‫و‬

X ' = 18, 24.km

. ِ 91‫ل ا‬ $ ْ‫ ّ لْ و‬1‫ْ ا‬QU ْ ُ 1 ْ ‫ رَة‬$ P ّ 1‫ُ ا‬-ْ%Y ْ ْ ‫ْرُو‬.Hْ ْ ْ‫َ َ دِي ْ !ُ ُ وَاش‬-‫دَا‬ . ُ ُ! ْ ‫َ َ دِي‬-‫ دَا‬، ِ 91‫ْ ا‬LTْ ْ 1‫ ِ ا‬2ْ *ْ ِ 91‫ْ ا‬QU ْ ُ 1 ْ َ‫ُ ه‬-ْ%Y ْ ْ ْ‫ْ ْه َ ش‬%‫َ &َ ْآ‬H ِH َ 1 ْ َ R ْ

: ْ ْ ِ "ِ‫ آ‬40 ْ‫ َ ب‬#ِ" ْ ‫ َة‬#ِ- ْ ‫ رَة‬$ P ّ 1‫ن ا‬ $ ‫ْ ُ أ‬%2ْ ْ "َ

X 0 = 40.km .t" َ ‫ّ ُه‬1ِ ِ 91‫ْ ا‬LTْ ْ 1 ْ ‫ رَة‬$ P ّ 1‫ْبْ ا‬%Y ْ "ْ ‫ َ لْ َ دِي‬K ْ ُ ْ%2ْ ْ ‫ْرُو‬.Hْ ْ : ْ‫ س‬- ‫ْ َ ا‬. ْ ? ْ ِ 2ْ *ْ ، ‫ & ا‬ ْ Qْ ‫* َ)آَ ْﯖ د ة‬ َ ْ َ*ْ‫ رَة َ د‬$ P ّ 1‫ا‬

x = v × t + x0 : ِP2ْ ْ "َ َ 1 َ*ْ‫ْ د‬4 ِ ! ْ ُ 1 ْF ْH ّ َ ِD ‫إل‬

x = (−960

km

)×

t + 40.km

h

.ْ ْ ِ "ِ‫ آ‬40 َ ‫ْ ّ" ا &ْ ِه‬Q 1‫ا‬$ P ّ 1‫ا‬ .x ْo? ْ $ 1‫ ا‬t ْ B ْ 1‫ْ دْ*َ لْ ا‬o ْ 2ْ 1‫ رَة َ دْ*َ ا‬$ P ّْ 1‫ أ ُو ا‬،ْO ْ َ ْF‫ْ?َ رَا‬% ^ 1‫ن ا‬ $ ‫ْ ُ أ‬H? ْ ‫ل‬ َ ‫ِإ‬ : ‫ رَة‬$ P ّ 1‫ْ "َ عْ ا‬QU ْ ُ 1 ُV ْ ْ ْ t" َ ‫ّ ُه‬1ِ ِ 91‫ْ ا‬LTْ ْ 1 ْ km

x = (−960 ) × 68,9.s + 40.km h

: ْ‫ َ ر‬$ْ ‫ْ ا‬V ْ 5ْ ْ‫ْ َ ش‬. ْ ? ْ َ& ِ َ"ْ‫?َ و‬ . َ ِ 91‫ ?َ لْ ا‬$ 1‫ ّ لْ ا‬ ْ ْ ْ‫ َ رْت‬J ْ َ ‫أ‬ . َH ِTْ‫ د‬60 َ ِ َ1 - ‫ا‬ . َ 5ِ [ 60 َ ِ َH ِTْ.1‫وْا‬ . َ ِ n 3600 َ ‫ ِه‬01 60 ْ‫َ ف‬-‫ُو‬%Y ْ &ْ 60 َ ِ َ? $ 1‫ ِ ا‬2ْ *ْ

1.h = 60.min = 60 × 60.s = 3600.s : ‫ رَة‬$ P ّ 1‫ْ "َ عْ ا‬QU ْ ُ 1 ُV ْ ْ ْ

 960 km   960  x = − × 68,9.s  + 40.km = 40 −  × 68,9  ≈ 21,63.km  3600 s   3600  x = 21,63.km . ^" َ

‫ رَة‬$ P ّ 1‫ َ دِي ْ" ُ نْ ا‬Xf ْQU ْ ُ 1 1 ُV ْ Hْ 1‫ْ ا‬45 ْ ُ" ْh ِR 6ُ $‫ِ ُ مْ أ‬1 ْ‫َ ن‬V*ْ َ ‫ْه‬ . ِ 91‫ْ ا‬QU ْ ُ 1 ْ ‫ رَة‬$ P ّ 1‫ْﯕ ا‬+ ْ ‫ َ رَة َ دِي‬J ْ

: ْ‫ ّ ل‬1‫ْ ا‬QU ْ ُ 1 ْ ‫ رَة‬$ P ّ 1‫ُ ا‬-ْ%Y ْ ْ ‫ْرُو‬.Hْ ْ ‫َ آِ َ شْ َ دِي‬-‫ْ !ُ ُ دَا‬ : t'

ْLTْ ْ 1 ْ Xf ْQU ْ ُ 1‫ْ ا‬45 ْ ُ" ‫ رَة َ دِي‬$ P ّ 1‫ا‬

 960 km   960  X f = − × 38.s  + 40.km = 40 −  × 38  ≈ 29,9.km  3600 s   3600  X f = 29,9.km : ∆t ‫ة‬$. ُ 1 ْ

∆X = 11,9.km =

∆X 1‫ا‬$ P ّ 1‫ رَة ا‬$ P ّ 1‫ْبْ ا‬%Y ْ "ْ ‫ َ دِي‬

960 km ×∆t 3600 s : َV ِ َ َ &ُ ْ‫َاد‬.? ْ ‫ْ َ أ‬. ْ ? ْ

∆t =

11,9 × 3600 = 44, 625.s 960

. ْQ ْ ْ. ْ 1 ْ- ُ-ْ%Y ْ ْ ْ‫ ْ َ ?َ د‬n 44,625 ْ‫ و‬$ ْ ْ ْ َ > ْ J ْ ِ 2ْ *ْ .

1 ُV ْ Tْ َ ِ ? ْ ْl ْ ْ ْ‫<َ ت‬-ْ ‫ رَة‬$ P ّ 1‫= ا‬$ R ْ ‫ن‬ $‫ أ‬ َ ‫ ِه‬، َ ِ َ ْ ّْ J ْ َ& ْ‫َ ﯕ ع‬D َ 1‫ْ ا‬.R ْ ‫وَا‬ . ْF َP? ْ `‫َ ا‬P? ْ ّ1ِْ‫ آْ َ هَ و‬،ْ)%ْ ِ ِ‫ آ‬18,24 ْ.2ْ -ْ 1 ُV ْ Hْ 1‫َ تْ ا‬H ْ" ‫ل‬ َ ‫ِإ‬ . `‫ َر ا‬.$ Hْ 1 َ ِ ? ْ ْj ِP"ْ ْ‫َ ش‬- 1 ُV ْ Hْ 1‫ّ َ دِي "ْ حْ ْ& ^ ا‬1ِ ْ‫َ ع‬-% ‫َ ا‬-‫ُ دَا‬V ْ ْ ْ َ > ْ J ْ

: ْO َ21 ْ ْ4 ِ ! ْ ُ 1‫ ا‬.َ 2ْ -ْ ُ

ْ ْ% ْ

.`‫ ا‬6َ R ِ ‫ْ َر‬O9ْ َ 1‫' ا‬ ُ -ْ ‫ لْ "َ عْ ا‬9ِ 1‫ َ لْ ا‬-ْ َ ْ. ْ ? ْ 6ُ $‫ِ ُ مْ أ‬1 ْ‫َ ن‬V*ْ ‫ َ دِي‬ : ْ4 ِ ! ْ ُ 1 ُ ْ%P ْ ْ

.‫َ ﯕ)َة‬B =َHVْ "ْ ‫ َ دِي‬V x ِ 2ْ *ْ ،‫ة‬$‫آَ ْ&ﯖَ د‬%َ R َ ‫ل‬ $ ‫ْ &َ ْ* ْ ْ 'ْ ْ" ُ نْ ِإ‬o? ْ $ 1‫ ا‬t ْ B ْ 1 ْ ‫َآ‬% َ 1‫ا‬ : ْ‫َ ت‬T@َ21‫ْ َ ا‬. ْ ? ْ ِ 2ْ *ْ ،ْKB ْ 6‫ْ ا‬c ْ ْ‫ ْ "َاش‬%ْ %َ ‫آَ

َ آ‬%َ َ 1‫ ا‬0 &ْ

VxB = 960

km

xB = −960

km

= 960. km

h

h

×t + X

h

B .x ْo? ْ $ 1‫ ا‬t ْ B ْ 1‫ْ دْ*َ لْ ا‬o ْ 2ْ 1‫ رَة َ دْ*َ ا‬$ P ّْ 1‫ا‬ .ْ) ّْ <ْ %ْ ‫آَ

َ دْ َ وْ آ‬%َ R َ َ ‫ْ ِه‬wTْ ‫ َا‬1‫ ا‬t ْ B ْ 1 ْ ‫َآ‬% َ 1‫ا‬

: ْ‫َ ت‬T@َ21‫ْ َ ا‬. ْ ? ْ ِ 2ْ *ْ ،ْKB ْ 6‫ْ ا‬c ْ ْ‫ ْ "َاش‬%ْ %َ ‫آَ

َ آ‬%َ َ 1‫ ا‬0 &ْ VyB = (−9,8)

m s

2

× t = −9,8 × t

VyB = −9,8 × t 1 m yB = × (−9,8 2 ) × t 2 + 13000.m = −4,9 × t 2 + 13000 s 2 2 yB = −4, 9 × t + 13000

‫ ‪َb‬الْ ‪:‬‬ ‫ي ُ‬ ‫ْ* ْ‪ ِ 2‬دْرُوآَ ْ‪ َ -‬دْ ا‪ َT@َ21‬تْ ْ ْ‪ْ.H‬رْ ْ ‪ َ/‬وْ ْ‪ ُ -‬مْ ?ْ = أ ‪0‬‬

‫‪h‬‬

‫‪= 960. km‬‬

‫‪km‬‬

‫‪VxB = 960‬‬

‫‪km‬‬

‫‪xB = −960‬‬

‫‪h‬‬

‫‪B‬‬

‫‪×t + X‬‬

‫‪h‬‬

‫‪Vy = −9,8 × t + 528, 26‬‬

‫‪y = −4,9 × t 2 + 528, 26 × t‬‬ ‫? ِ َ ‪:‬‬ ‫‪ َ K‬لْ ْ" ْ ْ ْ‪ َJ ْLT‬صْ ا‪ َ- 1 ُV ْ Hْ 1‬شْ ْ"‪ْ ْj ِP‬‬ ‫‪ْ ُ ْ%2ْ ْ َ 5‬‬ ‫َ شْ ْ ‪ َH‬وْ ا ‪ َ-%‬عْ ‪ْ َJ‬‬‫ْآ َ ﯕ" َ *ْ &"‪ َC‬عْ أ = ُ‪ ْ #ِU ْ 8َ G#ِ& 0‬ا ْ‪ !"ْ + ُ ْ 9‬ا‪Q‬رْضْ َ‪ ُ1#ْ 8‬نْ ا ‪ "ْ-‬وَا ُ‪: A‬‬ ‫‪yB = 0‬‬ ‫ْ* ْ‪: ِ 2‬‬

‫‪yB = 0 ==> −4,9 × t 2 + 13000 = 0‬‬

‫ َ بْ َ" ْ ْ‪: َ ِP2‬‬ ‫‪ْ1‬‬ ‫‪13000 − 4, 9 × t 2 = 0‬‬ ‫‪ُ%Vْ /‬و ‪: 13000‬‬ ‫ْ ْ‬ ‫‪2‬‬

‫?‪َ.‬ادْ‬ ‫أْ‬

‫‪13000 = 4,9 × t‬‬

‫ ‪: َV‬‬ ‫ُ& َ َ َ ِ‬

‫‪13000‬‬ ‫=‬ ‫‪4,9‬‬

‫‪t2‬‬

‫‪ْ%l‬فْ ا‪: ْQ-$ْ% ُ 1‬‬ ‫ل ْ‬ ‫‪ْ.D‬رْ ا‪ َ 1‬لْ وْ ‪$‬‬ ‫‪ُ.J‬و ْ‬ ‫ َ ْ‬ ‫‪13000‬‬ ‫‪≈ 51,1.s‬‬ ‫‪4,9‬‬

‫=‪t‬‬

‫ ‪ ُV‬دَا‪ َ-‬ا‪ َ 01‬عْ ‪:‬‬ ‫ ْ‬ ‫ْ ْ‬ ‫‪960 km‬‬ ‫‪× 51,1.s‬‬ ‫‪3600 s‬‬

‫= ‪× 51,1.s‬‬

‫‪km‬‬ ‫‪h‬‬

‫‪xB = 960‬‬

‫‪960‬‬ ‫‪× 51,1 = 13, 62.km‬‬ ‫‪3600‬‬

‫= ‪xB‬‬

‫? ِ ‪ َ ْZ‬دِي ْ‪& ْ ْ ,ْ 5‬هَ ْ‪ 1 ُV ْ Hْ 1 ْm ْ ْ "ْ َ& ْ4Vْ T‬دْ*َ ْ‪!! َ 1‬‬ ‫ل َ‬ ‫ َ دِي ْﯖ لْ ‪ $!1‬فْ ‪ 6ُ $gِ-‬وَا َ‬ ‫ َ بْ‪.‬‬ ‫‪ْ%Y‬بْ ‪ْ 1‬‬ ‫ ْ ‪َ 9ْ ْO‬ا ِ ‪ ،‬دَا ْآ!ِ ?ْ@شْ &رْدِ َ ُ&رْ ُه َ ِ‪ْ ْ "َ ّ1‬‬ ‫‪ْ ّْ"َ َ U‬‬ ‫ َ دِي ْ*‪ َV‬نْ ‪ ُ ِ1‬مْ أ‪ 6ُ $‬ا‪ِ َH1‬‬ ‫? ْ ‪ُ.‬و ْ ‪ َ1 12 ْc ْ ْK‬مْ !!‬ ‫‪ ُ "ْ َV/‬مْ هَ دْ ا‪ َ2"ْ َ& ، $>Hِ 1‬وْدُوهَ شْ لْ ِ‪ْ ّ1‬‬ ‫?ْ‬ ‫?ْ ` ْ" ُ نْ ْ‬

‫ا ‪ oِI‬مْ ‪ :‬ا‪ َ 1‬آِ َ "َ عْ أ ْ &ُودْ‬ ‫ن ُ " ة ا‪ َ 0P1‬نْ ْ ِ ‪.‬‬ ‫! ِ ‪ ْ4‬دْ*َ لْ ّْ"‪ َ/‬رْبْ ا‪ َ 0P1‬نْ ُه َ أ ‪$‬‬ ‫ْآ ‪ $‬ﯕ َ ْ ‪ْ ّ 1‬لْ أ‪ 6ُ $‬ا‪ْ ُ 1‬‬ ‫! ِ ‪.ْ4‬‬ ‫‪ َ ِ- ْ4R‬ا‪ْ ُ 1‬‬ ‫?‪َ%‬ة ْ‬ ‫? ِ ْ‪ 6‬وَا‪ .ْR‬ا‪َ% ْ ِ 1‬ة وَا ْ‬ ‫‪ْ ْLR‬‬ ‫أ ْ &ُودْ ‪ْ َl‬‬ ‫ [ِ‪.ْW#‬‬ ‫& ْ ا َ ‪ َ ْ 8َ +َ #ِ1‬نْ َ ِ‪ َY#‬وَا ُ ‪ ،‬وَ ِ‪ ْ 1‬أشْ َ‪ُ َY ِ ْ Cِ #ْ 8‬ه َ ِ ّ َ‬ ‫ُه َ ْ‪ َVC‬وْبْ وَا ْ‬ ‫ َا ْ‪: ْdC‬‬ ‫ ْ ذَا‪ َV ْ َYh‬وْ َ‪ َ8 +h h ْ ْ +‬عْ ا ْ‬ ‫ا َ ‪ْ ْ +َ #ِ1‬‬ ‫‪.ْ C ِ ْ ْ 4‬‬ ‫ ‪ ْO‬ا ِ ْ‪َ ْ ْO#ِ"1‬‬ ‫رْو‪ْ َ8 َH#‬‬ ‫‪ ,‬رَة‪.‬‬ ‫‪ ْi2ِ1.‬دْ‪ َC‬لْ ا ّْ‬ ‫ْ‬ ‫ ُ‪A‬جْ ‪ َ8‬عْ ا >‪. AُJ‬‬ ‫ ‪ ْ 0‬ا‪ِْ%ّ 1‬و*‪ R َY‬وْ ‪ M ْ4Hْ n‬وْ ‪ ،M' ْ4Hْ n‬هَ دْ ا |‪ + ُ9‬دَا ْ‪ ْ C ِC‬ا "!َ ُدلْ‪َA"َ *ْ ِ -ْ Cْ ،‬ا ُزنْ‪.‬‬ ‫ َ دِي ْ ْ‬

‫‪ ْ.R‬ا‪ = ْ? m 1 $H91‬ا‪ َ9 ْ #ْ 8َ َ M ْ4Hْ 91‬شْ ا "!َ ُدلْ‪.‬‬ ‫ل زْدْ"ِ وَا ْ‬ ‫ِإ َ‬ ‫‪ ْF َ2&ْ ْ%/‬ا‪.M' ْ4Hْ 91‬‬ ‫‪ِ t‬و* ّْ‬ ‫ َ دِي ْ*‪ َV‬نْ ‪ Z ِ1‬أ‪ 6ُ $‬ا‪ َ M+m ْ4Hّْ 9ْ 1 ْ4Hْ 91‬دِي ْ* ْ ْ‪ْ V‬‬

‫‪ A‬ا وْا ‪: ْL?ْ ْA‬‬‫ا !َ‪ ْ42ِ% َ?,‬ا ّ‬ ‫‪َ U‬ة َ شْ ْ= ْ‪ُ ْ -‬و‪.‬‬ ‫‪َ,‬‬ ‫& ْ ا ِ ْ‬ ‫‪ُ C@ِ=ْ َ V‬و وَا ْ‬ ‫‪ U‬ا ‪ +‬وْ ا ْ ْ‪ْ ْ ،ْO6‬‬ ‫ل ْ ‪ َ9"ْ= َ #ِB‬وْ ا ‪ ْ #ِ +َ6 َ-‬ا ّ‬ ‫ِإ َ‬ ‫ ‪ َ| َ t ْFْ 0‬دْ?ِ‪. َJ2‬‬ ‫‪ ْ.R‬ا‪ْ ْ ْLTْ ْ 1‬‬ ‫‪ ْj ِP*ْ ْFْ ّ ِB‬وَا ْ‬ ‫ َ دِي ْ ْ ‪ ُH‬ا‪ ْ'&ْ M+m ْ4Hّْ 9ْ 1 ْ4Hْ 91‬ا )ُو وْ ْ ْ‬ ‫‪ ُ- ْ8 +َ #ِJV‬دْ ‪: B‬‬ ‫‪$ P‬ا‪ْ ْ S1 1‬‬ ‫هِ ‪ ْ4 ْ ْ "ْ ْ%‬ا‪$. ُ 1‬ة ‪ ْ.2ْ -ْ ْ'&ْ ِ 2ْ *ْ ،t‬دْ‪ ُ Tْ ُ َH ِT‬ا‪ َ ِ َ 1‬وْ ْ ْ‪ ُ ّْ2‬ا‪ّ 1‬‬

‫‪$ P‬ا‪ ُS ِ -ْ Cْ 2t ْ -ْ ْ ْ ْ S2 1‬جْ دْ‪.ْ`Cْ َ6‬‬ ‫ْ‪ ْoْ ْ -‬ا‪ُ%Vْ 2ْ ْ َH*%$P1‬و ا‪$ 1‬‬ ‫وِْز‪ ْ C‬وِْز‪...ْ C‬‬ ‫ َادْ ‪ َK‬دِي =ْ"‪ َ9‬وْ ‪:‬‬ ‫& ّْ‪ْ Q ْ َ ْ99‬‬ ‫ل ْ‬ ‫ِإ َ‬ ‫‪$% ْ 1 ْ" 4 ْ%*0. ْ "َ S2‬اتْ ْ&'ْ ‪. S1‬‬ ‫‪$% ْ 1 ْ" 9 ْ%*0. ْ "َ S3‬اتْ ْ&'ْ ‪. S1‬‬ ‫‪$% ْ 1 ْ" 16 ْ%*0. ْ "َ S4‬اتْ ْ&'ْ ‪. S1‬‬ ‫وِْز‪ ْ C‬وِْز‪...ْ C‬‬ ‫‪ U‬ا ‪ُ +‬ه َ ُ ْ ‪ ْ]%‬وْ ل ا َ ْل ‪ َ8‬عْ ْ‪ْ9J‬رْ دْ‪ َC‬لْ ا ْ ْ‪.ْO6‬‬ ‫‪ َK‬دِي ْ‪ ُ1C‬نْ َ نْ ِ‪ ُ1#‬مْ ْ‪ْ9J‬رْ ‪ َ8‬عْ ا ّ‬ ‫ َ آَ ‪ َc‬دْ‪ َ#‬وْ َآ ْ" ْ‪.ْ 2ّْ $‬‬ ‫ن ا َ‬ ‫هَ دْ‪ ِ -ْ #ْ 8َ ِ4‬أ ‬

‫‪ َ ْ C‬وْا ‪: ْL?ْ ْA‬‬ ‫ا !َ‪ ْ42ِ% َ?,‬ا ‪O‬‬ ‫ْه َ ‪ َK‬دِي ْ‪ َ 8‬نْ ِ‪ ُ1#‬مْ ا ْ ‪ َ8 ْO#ِ "ْ-‬عْ أ ْ‪ُ 8‬ودْ‪.‬‬ ‫ \َ ‪.‬‬ ‫‪ َ ْ .‬ا ْ‬ ‫ ِ‪ َ8 ْ51‬عْ ﯕ ِ‪ُ ، ِ"#‬ه َ آِ‪ َJ#‬شْ ‪ َK‬دِي ْ‪ُ ْ ْ -ْ C‬‬ ‫& أ ْ‪ُ 8‬ودْ _َ حْ ْ ْ ْ‪ْ ُ ْ'J‬‬ ‫ْ‬ ‫ ‪ ْO‬أ ْ‪ُ 8‬ودْ‪.‬‬ ‫‪ْ َ8 +َ ْ y‬‬ ‫ ا ْ‬ ‫ ‪ ْO‬ﯕ ِ‪َ ، ِ"#‬و ِ‪ِ 1‬‬ ‫ ‪ْ َ8‬‬ ‫ا ِ‪َ 1ْ J‬ة ِه َ‬ ‫& ! وْ‪a‬ة ْ َ لْ ‪.ْ j َ8 ِ4‬‬ ‫) ْ‬ ‫‪ْ %‬‬ ‫& َة ‪َ ْ T‬ى وْ ْ َاهَ ْ ْ ا ْ ْ‬ ‫‪ َ8 +َ #ِJV‬عْ ‪ ُ- ْ8‬دْ وْ ْ‬ ‫& ْ ا ْ‬ ‫ْ َ َ دْ وَا ْ‬ ‫ ْ‪. ْ[1‬‬ ‫‪ t‬ا‪ ،M+m ْ4Hّْ 9ْ ْ 1 ْ4Hْ 91‬ا‪ َK M ْ4Hْ 91‬دِي ْ‪ُ9#‬وزْ وْا‪ َK m 1 $H91‬دِي ّْ ْ‬ ‫ أ‪ ُ *ْ ْh ِR 6ُ $‬نْ هَ ْ‪ْ -‬‬ ‫وْا‪ِ َV ِ2 1‬ه َ‬ ‫ ْ 'ْ ْ ْ ْ ْ‪ ْ -‬دْ‪: +َ9#ِ6‬‬ ‫‪$ P‬ا‪ َ- S1 1‬شْ ا‪ْ 8ّْ m 1 $H91‬‬ ‫ ‪ َ" ْ.‬عْ ا‪ّْ 1‬‬ ‫ ‪ ُH‬ا ‪ْ 1 ْ A ْ#[ َI‬‬ ‫ َ دِي ْ ْ‬

‫ َ آَ ْﯖ دَة‪ ْ ،‬شْ ؟‬ ‫& ُو ْ‪َ %‬‬ ‫) ُ ْ‬ ‫` هَ ْ ْ‬ ‫ ْ‪ ،ْoV‬ا‪ َK M ْ4Hْ 91‬دِي ْ‪َ ْ C‬‬ ‫ْ&'ْ ْ‪ َ& ْ.2ْ -‬ا‪ْ "ّ m 1 $H91‬‬ ‫‪. +َ#k‬‬ ‫&‪ ْO‬هَ دْ ا ‪ْ َ9‬‬ ‫‪ْ ْ 4‬‬ ‫‪ َ" َ 1ِ ُ B‬عْ ا‪ ،M 4ْH91‬رَا‪ْ ْP‬آ ْ ‪ْ ْO‬‬ ‫ ‪ َV‬بْ ا‪ْ 1‬‬ ‫ْ‪ْ -‬‬ ‫‪ َ ْ C‬تْ ‪ V2 ،V1‬وْ ‪.V3‬‬ ‫‪ ُ ,‬ا ‪O‬‬ ‫ ْ‬ ‫‪ َ8 +َ9C ِU‬عْ ﯕ ِ‪ َK ِ"#‬دِي ْ= ْ‬ ‫ْ ْ ْ‪ ْ'J‬ا ‬ ‫ ‪ َC‬بْ ا ْ ْ‪. ْO6‬‬ ‫ ‪ْ S‬‬ ‫‪ َ ْ ,‬تْ َ‪ْ ُ ْ ْ ْ #ْ 8‬‬ ‫وْ‪ َK‬دِي =ْ"‪ َ9‬وْ أ = ُ‪ 0‬ا ‪E‬‬ ‫ َ آَ ‪ َc‬دْ‪ َ#‬وْ َآ ْ" ْ‪.ْ 2ّْ $‬‬ ‫ن ا َ‬ ‫هَ دْ‪ ِ -ْ #ْ 8َ ِ4‬أ ‬

‫ َ آَ ِ ّ ‪ َc‬دْ‪ َ#‬وْآ ْ" ْ‪ُ ْ 2ّْ $‬ه َ ‪:‬‬ ‫أ ِ‪ً #‬ا ْ= ْ‪ْ 9‬رُو =ْ"‪ َ9‬وْ ْ ‪ َY‬دْ ا َ ‪ َ8 +َ #ِ1‬عْ أ ْ‪ُ 8‬ودْ أ = ُ‪ 0‬ا ‪ C‬سْ َ عْ ا َ‬ ‫‪v = a×t‬‬ ‫‪1‬‬ ‫‪x = × a × t2‬‬ ‫‪2‬‬ ‫>‪ُ" ِ ْj‬ونْ ِ‪ َ,5‬شْ‪.‬‬ ‫? ْ ‪ُ.‬و ا‪ّْ 1‬‬ ‫ ‪ ،ْm‬وَ‪ ْ' ِ 1‬دْرُوآَ ْ‬ ‫? ْ ‪ُ.‬و ا‪ْ 1‬‬ ‫ن ْ‬ ‫‪ ْ#‬آَ ْ‬‫أوِر ْ‬ ‫‪ x‬أ‪ْ# ْ1‬‬ ‫َو ا ُ‬ ‫ َا ْ*‪: ْp‬‬ ‫‪ْ ْ" n@9ْ- ُ&ْ.B‬‬ ‫? ِ َ ْ&'ْ هَ دْ‪ ِK‬آُ ُه َ أ‪ ُ21 ْ 6ُ $‬مْ َ" ْ ْ‬ ‫‪ ُ 5‬مْ ْ" ْ‪ْ ْH2‬‬ ‫ا‪ْ َJ ّ1ِ َD َ 1‬‬ ‫‪. َ ْ"I‬‬ ‫ ا ‪ -‬سْ َ عْ ا ْ‬ ‫ا ‪ 9‬ﯕ)ة ‪ ِ 2ْ *ْ :‬ا‪ِ ، 9ْ- 91‬ه َ‬ ‫‪. َ ْ"I‬‬ ‫ ا ) ‪ْ ْ َ,‬‬ ‫! ْ ‪ِ ،‬ه َ‬ ‫ )َافْ ‪ َ- :‬شْ ْ ْ َ& َ ِ ‪ْ &ْ ْ4‬‬ ‫ا ّ‪ْ %‬‬ ‫‪. َ ْ"I‬‬ ‫ ا ْ‬ ‫‪ ْ%Vْ /‬وْ ا‪َ َ- َH ُ 1‬و &َ ‪َ َD‬و َر ُه َ ‪ِ ،‬ه َ‬ ‫ َ بْ ‪َ 1 ْ-‬‬ ‫‪ْ 1 ُ-ْ%Y‬‬ ‫*‪ َ-‬بْ ‪ْ ْ :‬‬ ‫ا ْ‬ ‫‪. َ ْ& @ْ- ْ+Vْ B‬‬ ‫‪ @ْ- 6ُ $: ،ْ. ْ /‬أ ْ&‪ ّ1ِْ ْ "َ ِ9‬ا‪@ْ2 ّ1‬مْ ْ‪ َ -‬لْ ‪ْ 1‬‬ ‫?‪ ْ4‬ا‪ّْ 1‬‬ ‫‪ ْ45‬ا‪ َ ْ :‬رْ ا‪ْ ِo ْ 6 ْ $ ِ ُ 1‬‬ ‫‪ َR‬وْ‪ ْL1‬أ‪ّْ ُ ِ $‬‬ ‫‪ َ!R‬آُ مْ‪.‬‬ ‫ ‪ َ -ْ ّ1ِْ ْ "َ ْo‬دْمْ آِ ‪ ْw‬ا‪ َ<V$Vَ 1‬ءْ َ‬ ‫ ‪ @ْ- ،ْo‬هَ دْ ا‪ِ 1‬‬ ‫وْا‪ َ Vْ ْ ْ 0-ْ% ْ "َ ِ9&ْ :‬دْمْ ا‪ِ 1‬‬ ‫‪َ.*ِ.D‬ة &َ ْ* ْ‪.ْu ْ ْ%2‬‬ ‫‪َ%J‬ى ْ‬ ‫‪َ.R‬ة ا ْ‬ ‫ وْ ْ‬ ‫ل ﯕ ِ ‪ َ5 6ْ ِ1‬وْبْ ِ‪َ 1‬‬ ‫‪ِ ، َ*%ِ 2ْ K‬إ َ‬ ‫‪ ْO ْ2"ْ 6ُ $:‬ﯕ عْ ا‪ َ<V$Vَ 1‬ءْ َ‪َ. ِ>T‬ة ِ‬ ‫>‪.ْj‬‬ ‫‪ t‬ﯕ ‪ 1‬هَ ‪ َ-‬شْ ْ ْ‬ ‫ل ‪ْ َ ِK ُ ِH1‬‬ ‫? ِ ُ مْ‪ ،‬هَ دِي هِ ‪ َ &ُ ْ%‬وَ‪ 1‬إ َ‬ ‫?ْ `ْ ْ ُ نْ &َ ْآّْ ‪ْ ْu"ْ ْ%‬‬ ‫? َ= ‪:‬‬ ‫ا ْ !َ ءْ ا` َ دِي ْ َ وْلْ ْ ْ ْ ْ ْ‬ ‫ َ‪%‬آَ ‪.‬‬ ‫ َ ‪ َ" ْm‬عْ ا‪َ 1‬‬‫ا‪ ِ 2ْ *ْ ْZ ِ& َ *0.1‬ا ‬ ‫‪%َ R‬آَ ‪.‬‬ ‫‪ & ْ# َ B‬آ * َ‬ ‫ َ "ِ ‪ ِ 2ْ *ْ ْZ‬أ ْ‬ ‫ا‪ْ 1‬‬ ‫ا ^‪ ُD 6ْ ِ &W‬جْ ْ َاعْ ‪:‬‬ ‫?‪. 0َ$‬‬ ‫ا ْ‬ ‫ ِ‪. َ ,‬‬‫ا ْ‪ْ ِ% ْ ِ )ِ%‬و ا ْ ْ‬ ‫إ ‪ُ)%ْ F‬و‪ َ" ْ ِ5‬عْ ا ‪ ْw ُ َ?%‬وْ "َ عْ ا‪6‬رْ َ مْ‪.‬‬ ‫وْز*‪ ْ.‬وْز*‪...ْ.‬‬ ‫‪ َ .‬قْ ْ ‪.ْ4 ْ Aُ2‬‬ ‫& ْ ا ْ‪ َ8 + ْ 9‬عْ إ ْ‬ ‫ َ آَ‪َ ْ +‬ا ْ‬ ‫< ْ ْ ‪ َ8‬عْ ا َ‬ ‫‪ َK‬دِي ْ= ْ‪ ْ5 ّْ 1‬هَ دْ ا ْ"‪ َ8 +َ9‬عْ ا ْ‬ ‫ َ آَ‪ +‬ا ْ ْ‪ُ -‬وفْ ‪. ْ72ِ ِ َI#&9 ْ%‬‬ ‫‪ َ8 ْi1َ C‬عْ ا َ‬ ‫ ْ"‪ ْ.‬ا ‬ ‫‪ِ ْ'%‬‬ ‫‪ َ .‬قْ ْ ‪ُ ْ4 ْ Aُ2‬ه َ ُ ْ ‪$‬‬ ‫ه د إ ْ‬ ‫‪ َ .‬قْ ْ ‪ ْ4 ْ Aُ2‬ﯕ لْ ‪:‬‬ ‫ ِ ْ ‪ ُ C‬إ ْ‬

‫‪ َ ْ ْ ّ ْ* ْi!ْ Iْ َ ْ 2ِ$P‬عْ ‪,ْk‬جْ‪،‬‬ ‫ ‪ُ ِ َ2‬آ ْ َ ْآ ْ‪ ْLI‬وْ ْ ‪ْ ْ9‬‬ ‫ ‪َ %ْ ْL2&C‬ا‪ َ %ْ ِ.‬ل ْ‬ ‫ْ‬ ‫< ْ ْ وْ ل ِ آُ‪ِ A‬آ َ‪ َF2‬زِْو‪ (%ْ َI#‬افْ‪،‬‬ ‫‪َ F‬ة ْ ‪ْ *ْ َC‬‬ ‫ ْ‬ ‫‪ْ ِ W‬‬ ‫وْ ْ ة ْ ة َ ْ ْ َ‬ ‫‪.Aُ" P‬‬ ‫ ّْ ْ ِ وْ ْ‬ ‫ ‪ َJ2ِJ‬ﯕ‪ 9‬ا ِ َ ْ‬ ‫ ْ َ عْ ا َ‬ ‫وْا ْ‪ْ 1‬‬

โ ซู ุฃโ ชn.โ ฌู ุงโ ช mโ ฌุฃู โ ช l% ] I#โ ฌุง โ ช 421 -โ ฌู โ ช 92 #โ ฌุง ุงโ ช 421cโ ฌู โ ช l A N 6 l !F#โ ฌุง โ ช #โ ฌู ู โ ช Aโ ฌุฃุฑ โ ฌ โ ซุง ุง โ ช42โ ฌโ ฌ

โ ซ โ ชู Sโ ฌุข & ู ุกโ ช.โ ฌโ ฌ โ ซ ู ู โ ชู m 9โ ฌโ ฌ โ ซู ู ุง ู โ ฌ

Ů&#x2019;â&#x20AC;Ť Ů&#x17D; ŘŞâ&#x20AC;ŹA !Ů&#x2019; Ů&#x2019; â&#x20AC;ŤŘ§â&#x20AC;Ź Ů&#x17D;%AŮ?"â&#x20AC;ŤŮ&#x2019;آâ&#x20AC;Ź Al-Mukhtassar fÄŤ HisÄ b al-jabr wa'l-muqÄ balah, livre de abdellah mohammed ben moussa alkhowarizmi, paru en 825. .â&#x20AC;Ť ŘŻŮ&#x160;â&#x20AC;Ź# 825 + % Ř&#x152; â&#x20AC;ŤŮ? اعزâ&#x20AC;Źy â&#x20AC;Ť! اâ&#x20AC;Ź% } Â&#x2026; â&#x20AC;Ť اâ&#x20AC;ŹŘ&#x152;+"Ů&#x17D; Ů&#x17D;9 Ů? â&#x20AC;Ť[ Ů&#x2019; Ů&#x17D;Ů&#x2C6; اâ&#x20AC;Ź Ů&#x17D; â&#x20AC;ŤŮ&#x17D; بŮ&#x2019; اâ&#x20AC;Ź,& Ů? Ů? V y â&#x20AC;ŤŮ?آ Ů&#x17D; بŮ&#x2019; اâ&#x20AC;Ź Kitab Al Manazir, livre de AL Hassan Ibn Al HaĂŽtham, paru en 965. .â&#x20AC;Ť ŘŻŮ&#x160;â&#x20AC;Ź# 965 + % Ř&#x152;.|#Y â&#x20AC;Ť ا اâ&#x20AC;Ź, â&#x20AC;Ť ا Â&#x2026; } اâ&#x20AC;ŹŘ&#x152; Ů?q Ů&#x17D; Ů&#x17D; â&#x20AC;ŤŮ?آ Ů&#x17D; بŮ&#x2019; اâ&#x20AC;Ź Kitab Talkhis amal al-hisab, livre de Ibn al-Banna al-Marrakushi, paru en 1290. .â&#x20AC;Ť ŘŻŮ&#x160;â&#x20AC;Ź# 1290 + % Ř&#x152; â&#x20AC;Ť ا Â&#x2026; } ا ا ŘĄ ا اآâ&#x20AC;ŹŘ&#x152;â&#x20AC;ŤŮ&#x17D; بâ&#x20AC;Ź, Ů? â&#x20AC;Ť Ů&#x17D; Ů&#x201E; اâ&#x20AC;Ź Ů&#x2019; â&#x20AC;Ť ŘŁâ&#x20AC;Źr#Ů?y"8 Ů&#x2019;â&#x20AC;ŤŮ?آ Ů&#x17D; بâ&#x20AC;Ź Tanqih al-Manazir, livre de Kamal al-Din Hasan ibn Ali ibn Hasan Farisi, paru en 1300. .â&#x20AC;Ť ŘŻŮ&#x160;â&#x20AC;Ź# 1300 + % Ř&#x152; %â&#x20AC;Ť Ů?Řąâ&#x20AC;ŹJŮ&#x17D; â&#x20AC;Ť اâ&#x20AC;ŹC$ â&#x20AC;Ť ا Â&#x2026; } Ů&#x17D;آ Ů&#x17D; Ů&#x201E; اâ&#x20AC;ŹŘ&#x152; q â&#x20AC;ŤÂ&#x201A; اâ&#x20AC;Ź#9 8 Ů&#x2019;â&#x20AC;ŤŮ?آ Ů&#x17D; بâ&#x20AC;Ź kashf al astar 3an 3ilm huruf al ghubar, livre de ali ibn Muhammad al Qalsadi, paru en 1485. .â&#x20AC;Ť ŘŻŮ&#x160;â&#x20AC;Ź# 1485 + % Ř&#x152; U, â&#x20AC;Ť ŘŻŮ&#x160; اâ&#x20AC;ŹV"9 â&#x20AC;Ť ا Â&#x2026; } اâ&#x20AC;ŹŘ&#x152;Ů&#x2019;â&#x20AC;Ť Ů&#x17D; Řąâ&#x20AC;ŹBŮ? â&#x20AC;Ť& Ů?Ů&#x2C6;Ů Ů&#x2019; اâ&#x20AC;Ź Ů? ."Ů? Ů&#x2019; Ů&#x2019; â&#x20AC;Ť Ů&#x17D; Řąâ&#x20AC;Ź% Ů&#x2019; Qâ&#x20AC;Ť }Ů&#x2019; اâ&#x20AC;Ź Ů&#x2019; â&#x20AC;ŤŮ?آ Ů&#x17D; بŮ&#x2019; Ů&#x17D;آâ&#x20AC;Ź LA MECANIQUE ExposĂŠ Historique et Critique de Son DĂŠveloppement, livre de Ernst Mach, paru en 1883.

Nouveau Cours de Physique Elementaire, livre de J.Fiavre-Dupaigre et E.Carimey, paru en 1906.

Qu'est-ce que la vie? de la physique Ă la biologie, livre de Erwin SchrĂśdinger, paru en 1944.

Histoire de la lumière, Livre Vasco Ronchi, paru en 1956.

L'ĂŠvolution des idĂŠes en Physique, livre de Einstein Infield, paru en 1983.

Initiation Ă la Physique, livre de Max Planck, paru en 1993.

L'Esprit l'ordinateur et les lois de la physique, livre de Roger Penrose, paru en 1989.

L'analyse au fil de l'histoire, livre de E.Hairer et G.Wanner, paru en 2000.

TraitĂŠ de physique Ă l'usage des profanes, livre de Bernard Diu, paru en 2000.

ْL2ِ ْ "ِ ْ ‫أ‬ http://www.bbc.co.uk/history/ancient/cultures/astronomical_instruments_06.shtml http://en.wikipedia.org/wiki/File:Astrolabe_(PSF).png http://www.ac-grenoble.fr/maths/LAB/premiere/Espace/Perspective-activite-soleil-cadre.htm http://clg.valleeviolette.free.fr/spip.php?article41 http://www.lefigaro.fr/sciences-technologies/2010/09/03/01030-20100903ARTFIG00623-limpossible-coup-franc-de-roberto-carlos-decrypte.php http://adhocc.free.fr/olipro/html/tipe-armes/3.html http://wikimony.forumactif.com/t793-balistique http://topgelato.com/wp-content/uploads/2010-the-masters-golf-tournament-list-of-players-tigerwoods.jpg http://www.picturesdepot.com/wallpapers/4833/golf.html http://blog.wineenthusiast.com/wp-content/uploads/2008/12/balance.jpg http://sciences-physiques.ac-dijon.fr/archives/astronomie/Mirages/images/Image_gravitationnelle1.gif http://sciencetonnante.files.wordpress.com/2010/12/eddington.png http://euclidnoneuclid.tripod.com/images/einstein%20relativite.jpg http://www.lyceeflaubert-lamarsa.com/lgf/spip.php?article493 http://battleshipoperations.bravehost.com/web-content/images/battleships/12 _tomahawk_missile_launch_bb-62.jpg http://www.air-defense.net/forum/index.php?topic=10890.60 http://www.defense.gouv.fr/var/dicod/storage/images/base-de-medias/images/terre/repertoireimages/materiels-majeurs/artillerie/caesar/photo-8-tir-du-canon-caesar/331797-1-fre-FR/photo-8-tirdu-canon-caesar.jpg http://www.3dvf.com/forum/mesimages/32835/lightweight_howitzer01_lrg.jpg http://photos1.fotosearch.com/bthumb/corbis/DGT124/CYS0031.jpg http://volaviondechasse.com/files/2010/11/vol-avion-de-chasse.jpg http://www.militaryfactory.com/aircraft/imgs/novi-avion_3.jpg http://www.teteamodeler.com/soutienscolaire/maths/cycle1/compter/niveau2/ardoise/compte4a.htm