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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 245

An illustration from Plane and solid geometry, 1912, leaf 245
ight triangle as hoinologous sides, thepolygon described on the hypotenuse is equivalent tothe sum of the polygons described on the other two sides. Given rt. A ABC, right-angled at C, and let P, Q, and i? be ^polygons described on a, 6, and c, respectively, as homol. sides.To prove i? =0= P + Q.… … Pythagoras 510. Historical Note. Prop. XII is usually known as the Pythago-rean Proposition, because it was discovered by Pythagoras. The proofgiven here is that of Euclid (about 300 B.C.). Pythagoras (569-500 b.c),one of the most famous mathe-maticians of antiquity, wasbom at Samos. He spent…

Geometry, Plane · Geometry, Solid

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