Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 77
which the tangent meets the axis ofX, we must make 2/=0, this makes p{X\-x)=^0. Or x=—X. That is, VD=^ VT, or the sub-tangent is bisected by the vertex. Hence, to draw a tangent line from any given point, as P, wedraw the ordinate FD, then make TV= VD, and from the pointT draw the line TF, and it… … THE PARABOLA. $9 PROPOSITION V.To find the eqitation of a normal line to the paraldla.The equation of a straight line passing through the point P isy^y^a{x—x). (1) (Prop. IV, Eq.(l).)Let x^, 2/j, be the general co-ordinates of another line passingthrough the same point, and a the tangent of its…
Geometry, Analytic · Calculus
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