Example for Euclid axioms I,2
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(1)Things which are equal to the same thing are equal to one another.
Example : For example, if an area of a triangle equals the area of a rectangle and the area of the rectangle equals that of a square, then the area of the triangle also equals the area of the square.
(2) If equals are added to equals, the wholes are equal.
Example : For example, a line cannot be added to a rectangle, nor can an angle be compared to a pentagon.
Example : For example, if an area of a triangle equals the area of a rectangle and the area of the rectangle equals that of a square, then the area of the triangle also equals the area of the square.
(2) If equals are added to equals, the wholes are equal.
Example : For example, a line cannot be added to a rectangle, nor can an angle be compared to a pentagon.
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