Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 114
ectivity is C2A2; for the linesAXC2 and C1C2 are clearly homologous, as also the lines AXA2 and C1A2.Any three homologous lines of the perspective pencils [a], [b], [c] thenform a triangle which is circumscribed about A1B1C1 and inscribedin A2B2C2. * Pappus, of Alexandria, lived about 340 a.d. A… … 100 THE FUNDAMENTAL THEOREM [Chap. IV EXERCISES 1. Given a triangle ABC and two distinct points A, B; determine a point Csuch that the lines AA,BB, CC are concurrent, and also the lines AB,BC, CAare concurrent, i.e. such that the two triangles are perspective from-two dif-ferent points. The two…
Geometry, Projective
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