Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 31
the notion of idealpoints ; cf. § 3, p. 8). Their function is not merely to exhibit one of the manypossible concrete representations, but also to help keep in mind the various rela-tions in question. In using them, however, great care must be exercised notto use any properties of such figures that… … §7] THE PLANE 17 the analytic projective space described in § 4. Any one of theserepresentations shows that our set of Assumptions A is consistent* The following three theorems are immediate consequences of thefirst two assumptions. Theorem 1. Two distinct -points are on one and only one…
Geometry, Projective
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