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The teaching of geometry (1911)

Smith, David Eugene, 1860-1944 · Boston, New York [etc.] Ginn and Company · leaf 209

An illustration from The teaching of geometry, 1911, leaf 209
d at the end ofBook I. It is too abstract to be introduced successfullyany earlier, although authors repeat the attempt fromtime to time, unmindful of the fact that all experienceis opposed to it. The loci propositions are not ancient.The Greeks used the word locus (in Greek, topos),however.… … BOOIJ I AXD ITS PROPOSITIONS 199 two things with respect to any locus : (1) that anypoint on the supposed locus satisfies the condition; (2)that any point outside the supposed locus does notsatisfy the given condition. The first of these is calledthe sufficient condition, and the second the…

Geometry

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