Proposition VI.24 — In any parallelogram the parallelograms about the diameter a…

Proof

Lines drawn parallel to the sides through a point on the diagonal make the inner parallelograms equiangular with the whole (I.29) and with corresponding sides cut in the same ratio (VI.2); hence similar (VI.4).

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Depends on (3)

I.29Proposition I.29A straight line falling on parallel straight lines makes the alternate angles equal to one another, the exterior angle…
VI.2Proposition VI.2If a straight line be drawn parallel to one of the sides of a triangle, it will cut the sides of the triangle…
VI.4Proposition VI.4In equiangular triangles the sides about the equal angles are proportional, and those are corresponding sides which…

Required by (dependents) (2)

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