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Proposition·Untested·2605.00009

Proposition VI.15

In equal triangles which have one angle equal to one angle the sides about the equal angles are reciprocally proportional; and those triangles which have one angle equal to one angle, and in which the sides about the equal angles are reciprocally proportional, are equal.

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Proof

Same scheme as VI.14 applied to triangles (each is half a parallelogram, so the areas-of-parallelograms result transfers).

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Depends on (2)

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