the perpendiculars from the focus on thesetangents, show that ^i.p.2 = « • ^-^- [Use for tangent y = mx^—; - - a ^ h a ^ ^^ a k :. k = mh-{--, or ?7i- - r-z/i + ^ = 0. Hence 7Ji,. nu = t ^«i + «• = r 57/i h h h h 21. Find the equation of tlie common tangent to the parabolasy- = -iax, x^=4by.… … Let QAE be the parabola, aud P the given point{x\ y). Let a chord through • P cut the parabola inQ{h,Ti) and R{h\r): and let QT.BThe the tangents 122 Analytical Geometry. at (//, Z). (//, A-). Then as the chord through P assumesdifferent positions, and in consequence T changes itsposition, the…
Geometry, Analytic
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