An elementary treatise on coordinate geometry of three dimensions (1912)
Bell, Robert J. T. (Robert John Tainsh), 1877-1963 · London : Macmillan and co., limited · leaf 127
+ by2+cz2)(aa.2+b@2 + cy2-l)-(aoLX+b(3y + cyz)2 = 0,and hence shew that the tangent planes envelope the cone (asc2+by2 + cz2 - l)(aoL2 + b(32 + cy2-l)-(aouc+b/3y + cyz-l)2=0. 69. The polar plane. We now proceed to define thepolar of a point with respect to a conicoid, and to find itsequation.… … Fig. 32. Let A, R (fig. 32) be the points (a, fi, y), (£ t], £), and letAPQ have direction-ratios I, m, n. Then the equations toAPQ are a; —q_y-/3_g —y I m n ►,70] THE POLAfi PLANE 106 and, measnree of ap and aq rXjt a i\alL-\-hin-~ -_ . - - - + i ■/- - - - - Let p be the measure of AR. Then, emee…
Geometry, Analytic
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