Beman, Wooster Woodruff, 1850-1922, Smith, David Eugene, 1860-1944 · Boston, Ginn & company · leaf 146
ff equal segments measured fromthe extremities of any diameter. (Draw a perpendicular from the centerto the chord.) 279. If a tangent from a point B on a circumference meets two tan-gents from A, C, on the circumference, in points X, Y; and if the linesjoining the center to A, X, Y, C, are a, x,… … Fig. 2. Fio. 3. Given AVB an inscribed angle, and AOB the central angleon the same arc AB. To prove that Z AVB = £ Z A OB. Proof. 1. Suppose VO drawn through center 0, and producedto meet the circumference at X.Then Z XVB = Z VBO. I, prop. Ill 2. And Z XOB = Z XVB + Z FJ50, Why ? = 2 Z XTO. Step 1…
Geometry
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