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Corollary: Similar Triangles

(related to Proposition: 1.32: Sum Of Angles in a Triangle and Exterior Angle)

If two triangles have two angles in one respectively equal to two angles in the other \((\alpha_1=\alpha_2\), \(\beta_1=\beta_2)\), then they are similar, i.e. their remaining pair of angles is also equal \((\gamma_1=\gamma_2)\).

Table of Contents

Proofs: 1

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References

Adapted from CC BY-SA 3.0 Sources:

1. Callahan, Daniel: "Euclid’s 'Elements' Redux" 2014

Adapted from (Public Domain)

1. Casey, John: "The First Six Books of the Elements of Euclid"