Beman, Wooster Woodruff, 1850-1922, Smith, David Eugene, 1860-1944 · Boston, Ginn & company · leaf 119
o one symbol, one operation, oneresult, etc., of geometry, or, as it is called, this one-to-onecorrespondence suggests many theorems jof geometry thatmight otherwise remain unnoticed. This correspondence isthe basis of the treatment of Proportion, Book IV. Exercise. 200. Prove geometrically that (x… … suppose E F G Given the right-angled A ABC, Z C being right. To prove that a2 + b2 = <r. Proof. 1. Let BLMC = a2, ACKH= b2, AEGB = c2CF II AE, and HB and CE drawn. 2. Then v AKCA, ACB, are right, their sum = st. Z,and .. BCK is a st. line. § 14, def. st. Z 3. And v Z CAH = Z EAB, Prel. prop. I.\…
Geometry
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