Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 135
r, the suUangent is bisected at the rp,vertex. This property enables us to drawa tangent at any point on a para-bola. Thus, let P be any point onthe curve; draw the ordinate PM, and produce 3IA to T,making AT equal to A3f; join TP. Then TP is the tangentrequired. 105. The Normal. Def. The normal to… … y j{x^xy. and let y — y ^z m{x — x) (J) be the equation of a line through (a:, ?/) and normal to thecurve at that point. Now in order that the lines represented by (a) and (h) 120 PLANE ANALYTIC OEOMETBT. may be perpendicular to each other, we must have the con-dition ^ + 1-0, (§47) or m = — ^; P…
Geometry, Analytic
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