Higher geometry; an introduction to advanced methods in analytic geometry (1922)
Woods, Frederick S. (Frederick Shenstone), 1864- · Boston, New York, Ginn and Company · leaf 107
Type IV. Pul= axx+bx2, pu2 = — bxv pu = xg, where the equality of the coefficients is not excluded.The conic Kt has now the equation aul + tfui = 0, which is that of two pencils with their vertices on AB. The relationof Kx and -82 is shown in Fig. 27. C. Let the conic Kx degenerate into… … Fig. 27 PK = xs- The conic K2 has the equation m8s = 0, which is that of a doublepencil of lines with the vertex A. The relation of the two coniesKt and K2 is shown in Fig. 28. The equation (8) now becomes b\\+Py (i-/>)=o. The root p = 1 gives the point A asa point of a double pair of which…
Geometry, Analytic
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