Smith, David Eugene, 1860-1944 · Boston, New York [etc.] Ginn and Company · leaf 201
e less than c withoutviolating (3), therefore h = c; and if ZB>Z(\ then & cannot equal c without violating (1),and b cannot be less than c without violating(3), therefore h> c; similarly, if ZB<Z(\ then h < c. This Law of Converse may readily be taught to pupils,and it has several… … y r the second^ then the third side of the first is greater thanthe third side of the second, and conversely. In this proposition there are three possible cases:the point Y may fall below AB, as here shown, or on BOOK I AND ITS PROPOSITIONS 191 AB, or above AB. As an exercise for pupils all…
Geometry
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