Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 226
, is the curve r2 - 24ar cos 6 + 16a^ cos 29 = 0. 236. To prove that, in general, three normals can bedrawn from any point to the parahola and that the algebraicsum, of the ordinates of the feet of these three normals iszero. The straight line y — mx — 2am — amP is, by Art. 208, a normal to… … 212 COORDINATE GEOMETRY. This equation, being of the third degree, has threeroots, real or imaginary. Corresponding to each of theseroots, we have, on substitution in (1), the equation to anormal which passes through the point 0. Hence three normals, real or imaginary, pass throughany point 0. If…
Coordinates · Geometry, Analytic
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