Proof
Equal angles and proportional sides (VI.6) force the triangles to
share the same straight-line continuation at the meeting vertex (I.14).
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Depends on (3)
- I.14Proposition I.14If with any straight line, and at a point on it, two straight lines not lying on the same side make the adjacent angles…
- I.29Proposition I.29A straight line falling on parallel straight lines makes the alternate angles equal to one another, the exterior angle…
- VI.6Proposition VI.6If two triangles have one angle equal to one angle and the sides about the equal angles proportional, the triangles…
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