Higher geometry; an introduction to advanced methods in analytic geometry (1922)
Woods, Frederick S. (Frederick Shenstone), 1864- · Boston, New York, Ginn and Company · leaf 105
he pointB and the line AB, the pointC and the line AC. Types I and II arise fromthe assumption tVfc there isa double pair ■ of, which thepoint lies outside the conic.If there is no such pair, theremust be at least one of whichthe point lies on the conic.In this case take the point asB (0:1: 0)… … Fig. 25 pu[ = ^u^aT ^is-^s pu2 = ^21*^1 K=- a\ip,\ T xf LINEAR TRANSFORMATIONS 93 The coefficient au cannot be zero or we should have the previouscase. The equation (8) is now («12 — /£>%) («gl— />«12) (1— /»)= 0,and the solution p = 1 would give a point not on K, contrary tohypothesis,…
Geometry, Analytic
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