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Projective geometry (1910)

Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 336

An illustration from Projective geometry, 1910, leaf 336
ause then all five would becoplanar. As one of the two planes meeting on I contains threeindependent lines, all lines of that plane are lines of the complex.The line I itself is therefore in the complex as well as the two linesof the other plane. Hence all lines of both planes are in the… … Fig. 114 A more definite idea of the general complex may be formed asfollows. Let p1p2p3pip5 (fig- 114) be a simple pentagon upon whoseedges all lines of the complex are linearly dependent. Let q be theline of the flat pencil pzpi which meets pv and let R be the point ofintersection of q and pv…

Geometry, Projective

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