Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 65
54 PLANE GEOMETRY Proposition XV. Theorem 156. If two sides of a triangle are unequal, the angleopposite the greater side is greater than the angle oppositethe less side. … Given A ABC with BC >To prove Z CAB > Z (7. Argument 1. On BC lay off BD = AB, 2. Draw AD. 3. ThenZl = Z2. 4. NowZ2 > Za BA, 5. .-. Zl > Z C, 6. But Z CAB > Zl, 7. .-. /.CAB > Z a. Q.E.D. Reasons 1. Circle post. §§ 122, 157. 2. Str. line post. I. § 54, 15. 3. The base A of an…
Geometry, Plane · Geometry, Solid
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