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The teaching of geometry (1911)

Smith, David Eugene, 1860-1944 · Boston, New York [etc.] Ginn and Company · leaf 292

An illustration from The teaching of geometry, 1911, leaf 292
+ 3 • 6 + 6 • 10 + 7 = 2»\2- \2 + Students of elementary geometry are not preparedto appreciate it, but teachers will be interested in theremarkable formula discovered by Euler (1707-1783),the great Swiss mathematician, namely, 1 + eiir = 0. Inthis relation are included the five most interesting… … e was proved by the French mathematician Hermite,and the transcendence of it by the German Lindemann. There should be introducedat this time, if it has not al-ready been done, the proposi-tion of the lunes of Hippocrates(ca. 470 B.C.), who proved atheorem that asserts, in some-what more general…

Geometry

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