If in a triangle two angles be equal to one another, the sides which subtend the equal angles will also be equal to one another.

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Euclid's Elements Book I, Proposition 6

## Friday, February 19, 2010

### Euclid's Elements Book I, Proposition 6

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if you construct another triangle A'B'C' with AC=A'C', <BC'A'= <BAC and <B'A'C'= <BCA you will have two triangles satistying A-S-A criterion for congruence and the conclusion follows

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