Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 235
raight lines, and sum up the conclu-sion thus: If the coefficients in the gc7ieral equation of a conic satisfythe condition p{np - Iq) + q(mq — Ijj) + d{r - mn) = 0, (19) the conic will he reduced to a pair of straight lines. If wehave r < m7i, the lines are imaginary; r = 7n7i, the lines are… … When the cutting plane passes through the vertex of thecone, the section is a point or a pair of intersecting straightlines according to the position of the plane. 212 PLANE ANALYTIC OEOMETRY. When the vertex of the cone recedes to infinity, the baseremaining finite, the cone becomes a cylinder,…
Geometry, Analytic
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