Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 132
To prove chord AB > chord CD. Reasoxs 1. § 54, 15. 2. § 279, a. 3. By hyp. 4. § 173. 5. § 294. Argument 1. Draw radii OA, OB, OC, OD. 2. In A OAB and OCD, OA = OC, OB = OD. 3. AB > CD. 4. .-. Zl > Z 2. 5. .-. chord AB > chord CD. q.e.d. Ex. 422. Prove the converse of Prop. IV by the… … Given chord AB and diameter CD _L AB at E.To prove AE = EB, AG = CB, and AB = DB, Argument 1. Draw radii OA and OB. 2. In A OAB, OA = OB, 3. .-.A OAB is an isosceles A. 4. /. OE bisects AB, and AE = EB, 5. Also OE bisects Z BOA, and Zl = Z2. 6. .-. Zaod = Zdob. 7. .-. AC= CB and AD = DB. q.e.d.…
Geometry, Plane · Geometry, Solid
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