Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 33
vantages of the formal treatment quite aside from that of logical rigor. Itis clear that there is a great gain in generality as long as the fundamental assump-tions are not categorical (cf. p. 6). In the present treatment our assumptions arenot made categorical until very late. t The symbols placed… … Fig. 4 1. If both A and B are on I, or if the line AB contains P, thetheorem is immediate. 2. Suppose A is on I, B not on I, and AB does not contain P (fig. 4).Since B is a point of it, there is a point B on I collinear with B and P. If (7 be any point on AB, the linejoining C on J[J5 to P on…
Geometry, Projective
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