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The teaching of geometry (1911)

Smith, David Eugene, 1860-1944 · Boston, New York [etc.] Ginn and Company · leaf 214

An illustration from The teaching of geometry, 1911, leaf 214
d into thespace between the straight line and the circumference anotherstraight line cannot be interposed ; further, the angle of the semi-circle is greater and the remaining angle less than any acuterectilineal angle. The first assertion is practically that of tangency, — willfall outside the… … 204 THE TEACHING OF GEOMETRY and the circumference, — a mixed angle, as Procluscalled it, and a kind of angle no longer used in elemen-tary geometry. The fourth statement practically assertsthat the angle between the tangent and circumference isless than any assignable quantity. This gives rise to…

Geometry

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