Definition Of Symmetry Definition Of Symmetry The first is an imprecise sense of harmonious or aesthetically pleasing proportionality and balance; such that it reflects beauty or perfection. The second meaning is a precise and well-defined concept of balance or "patterned self-similarity" that can be demonstrated or proved according to the rules of a formal system: by geometry, through physics or otherwise. Although the meanings are distinguishable in some contexts, both meanings of "symmetry" are related and discussed in parallel. The precise notions of symmetry have various measures and operational definitions. For example, symmetry may be observed with respect to the passage of time; This article describes these notions of symmetry from four perspectives. The first is that of symmetry in geometry, which is the most familiar type of symmetry for many people.
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The second perspective is the more general meaning of symmetry in mathematics as a whole. The third perspective describes symmetry as it relates to science and technology. In this context, symmetries underlie some of the most profound results found in modern physics, including aspects of space and time. Finally, a fourth perspective discusses symmetry in the humanities, covering its rich and varied use in history, architecture, art, and religion. Symmetry means two parts of figures which are exactly same in measure of their sides and angles. We say that figure is symmetrical about a line, if we fold figure at that particular line and find that two parts of figure exactly overlap each other. This line which divides figure in two equal halves is called line of symmetry. Now we take different figures and find the lines of symmetry for each of them. Let us start with Square. A square has 4 lines of symmetry, which means figure can be folded from 4 different places, such that it is divided into two equal halves. These lines of symmetry are two diagonals and two lines which can be formed by joining mid points of opposite and Parallel Lines. Next figure we take is a Rectangle. In a rectangle, we have opposite pair of sides as equal and parallel. We observe that on joining mid points of opposite sides of rectangle we get lines of symmetry of rectangle. Although diagonals of rectangles are not lines of symmetry. Thus we conclude that rectangle has two lines of symmetry.
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Let us take a triangle now. We will start with Equilateral Triangle and observe that equilateral triangle has 3 lines of symmetry; on other hand we say that Isosceles Triangle has only one line of symmetry and Scalene Triangle has no lines of symmetry. But if we take Circle, we conclude that the Diameter of circle is the line of symmetry of circle as it divides the figure in two equal parts. As there can be infinite number of diameters, so there can be infinite lines of symmetry for circle.
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