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Euclids Elements – Book 1 – Proposition 42

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Andrew Zhao

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To construct, in a given rectilineal angle, a parallelogram equal to a given triangle.

In other words, given angle D and triangle ABC (in blue), construct a parallelogram (in yellow) that has an equal area to triangle ABC.

Tags: Euclid, Elements, Geometry, Parallelogram, Triangle
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