Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 162
t. 5. The circle on any focal radius as diameter touches the tangent[to the parabola] at the vertex. 6. Tangents are drawn to ?/2 = 4 ax at points whose abscissae are inthe ratio r : 1. Show that the locus of their intersection is the parabolaif- = (r* + r~*)2 ax. 7. Find the equations of the… … \~a,a (—4- —+ —+ )!* 10. Tangents to a parabola at M and M meet in P. Prove, ?^ = ?M1 [where F is focus]. _^^^ MF MF - -■ * The symmetry of this result shows that the orthocenter of a A cir-cumscribed to the parabola lies on the directrix. 146 ANALYTICAL GEOMETRY 113. Diameters. — Let any chord of…
Geometry, Analytic
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