Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 266
ne and intersecting OZ in D; drawPK II to OZ, KB II to OY, and join 0 and K producing it tomeet the base circle in E. Then (OB, BK, KP) = (x, y, z) are the co-ordinates of P. From the similar triangles COE, CDP, we have DC OC , . ,^. = tan ^ . . . (1) DP OE THE STRAIGHT LINE. 251 But DC = OC - PK =… … Fig. 85. Let GALA be the cone and XOY the cutting plane. LetXOX, the angle which the cutting plane makes with theplane of the cones base, = cp. Let P (x, y, z) be any point on the curve of intersectionBPB. We wish to find the equation of this curve whenreferred to OY, OX as axes. Draw PD || to OY;…
Geometry, Analytic
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