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Plane and solid geometry (1912)

Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 68

An illustration from Plane and solid geometry, 1912, leaf 68
ite the less side.§ 156. 3. By hyp., Z /? = Z 21 4. Same reason as 2. 5. Same reason as 3. 6. The two suppositions, r > f and r <ty have beenproved false. 163. Cor. An equiangular triangle is also equilateral. Ex. 155. The bisectors of the base angles of an isosceles triangle forman isosceles… … A b Given A^jBC with Z ^ > Z C.To prove a^ G. Argument 1. a <^c^ a = Cj or a > c. 2. First suppose a < c] then Za<Zc. 3. This is impossible. 4. Next suppose a = c; then Za = Z.C. 5. This is impossible. 6. .. a ^ c. Q.E.D. Reasons 1. In this case only three sup- positions are…

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