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If a quantity B is a part of another quantity A, then A can be written as the sum of B and some third quantity C.

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The edges of a surface are curves.

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The things which are double of the same thing are equal to one another.

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The statements that are proved are called axioms.

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“For every line l and for every point P not lying on a given line l, there exists a unique line m passing through P and parallel to l” is known as Playfair’s axiom.