1. A Perfect Distribution of Like Attributes
Proposition 32, Book 1: In any triangle, if one of the sides be produced, the exterior angle is equal to the two interior and opposite angles and the three interior angles of the triangle are equal to two right angles. (180 degrees) Proposition 4, Book 6: In equiangular triangles the sides about the equal angles are proportional, and those are corresponding sides which subtend the equal angles. ... Now because angle A is a right angle like angle BDA, and the angle B is common to both triangles and the remaining angle C equals angle DAB, one can infer that triangles ABC and DBA are equiangular....
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