Beman, Wooster Woodruff, 1850-1922, Smith, David Eugene, 1860-1944 · Boston, Ginn & company · leaf 347
of the circumference of a great circle is called aquadrant. Corollaries. 1. Circles of the same sphere, having equalpolar distances, are equal. (Why ?) 2. The polar distance of a great circle is a quadrant. (Why ?) 330 SOLID GEOMETRY. [Bk. VIII. Proposition VII. 452. Theorem, If on a spherical… … Given P, A, B, three points on a spherical surface, andsuch that PA = PB = a quadrant; A, B are notextremities of a diameter ; 0 is the center. To prove that P is the pole of the great circle ABO. Proof. 1. • PA = PB = a quadrant, .*. Z POA = Z POB = a rt. Z. Ill, prop. II, cor. 2 2. .-. PO _L O…
Geometry
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