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Higher geometry; an introduction to advanced methods in analytic geometry (1922)

Woods, Frederick S. (Frederick Shenstone), 1864- · Boston, New York, Ginn and Company · leaf 106

An illustration from Higher geometry; an introduction to advanced methods in analytic geometry, 1922, leaf 106
ine equation of K2 is now &2w22 — a\* — 2 autu2 = 0,and the corresponding point equation is b*x\ + xl + 2 axjx2 = 0. The two conies Kx and K2 lie therefore in the position of Fig. 26. The equation (8) for p has the triple root p = 1, and the cor-relation has only one double pair consisting of… … The point B is again taken FlG 26 as the point of a double pair and is therefore transformed into a line through B, and if wetake that line as x1 = 0 we have, from (1), a32 = 0. The equation (8) is now <a + i°)2(1-lD)=0 where an cannot be zero since the correlation is nonsingular.The root p = —…

Geometry, Analytic

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