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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 165

An illustration from Plane and solid geometry, 1912, leaf 165
t of the subtended arc is equidistant from the chordand the tangent. Ex. 510. Solve Prop. XXII by means of Prop. XXIV.Hint. Observe that in the figure for Prop. XXIV any angle inscribedin segment BDC would be equal to angle ABC, 154 PLAXE GEOMETRY Propositiox XXV. Theorem 379. An angle formed by… … Fig. 2. Fig. 3. I. An angle formed by two secants (Fig. 1).Given two secants BA and BC, forming Zl.To prove that Z1 ^ |- (ic — BE). Argument 1. Draw CD. 2. Z1 + Z2 = Z3. 3. .Z1 = Z3-Z2. 4. Z3 9^ i AC, and Z.2 ^\DE. 5. .-. Z3-Z2 oc i.(jxr-^). 6. .•. Z 1 OC -1- (ic - BE). Q.E.D. II. An angle formed…

Geometry, Plane · Geometry, Solid

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