Beman, Wooster Woodruff, 1850-1922, Smith, David Eugene, 1860-1944 · Boston, Ginn & company · leaf 346
e of that sphere, is called the axis of that circle, andits extremities are called the poles of that circle. The two equal parts into which a great circle divides asphere are called hemispheres, their curved surfaces beingcalled hemispherical surfaces. Corollary. The axis of a circle pusses through… … Given the circle ABC, and its poles P, P; PA, PB con-necting P with any two points on the circumference. To prove that PA = PB. Proof. 1. v OP ±Q ABC at C, .. OP±AC and BC. Why? 2. And V PC = PC, and CA = CB, § 109 .. A ACP ^ A BCP, and PA = PB. Why ? Corollary. Great-circle arcs from a pole of a…
Geometry
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
