Proposition I.45 — To construct, in a given rectilineal angle, a parallelogram …

Proof

Triangulate the figure; sum the parallelograms by repeated I.44 and Common Notion 2.

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Depends on (2)

I.44Proposition I.44To a given straight line to apply, in a given rectilineal angle, a parallelogram equal to a given triangle.
2Common notion 2If equals be added to equals, the wholes are equal.

Required by (dependents) (1)

II.14Proposition II.14To construct a square equal to a given rectilineal figure.

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