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New plane and solid geometry (1899)

Beman, Wooster Woodruff, 1850-1922, Smith, David Eugene, 1860-1944 · Boston, Ginn & company · leaf 360

An illustration from New plane and solid geometry, 1899, leaf 360
ical triangles, ABC and ABC, it will always be understood thatZ.A = /. A, etc., and AB — AB, etc. The polar triangle of ABC is often called the polar of ABC. It is evident from the one-to-one correspondence of § 475, that toevery proposition concerning polar triangles corresponds a… … Given a spherical triangle, ABC, and ABC its pol^r.To prove that A ABC is the polar of A ABC.Proof. 1. In the figure suppose AC, AB, drawn. 2. Then, v B1 is a pole ofb, .. AB is a quadrant. Prop. VI, cor. 2 Similarly, v C is a pole of c,.. AC is a quadrant. 3. ..A is a pole of a. Prop.…

Geometry

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