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Analytic geometry, for technical schools and colleges (1897)

Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 134

An illustration from Analytic geometry, for technical schools and colleges, 1897, leaf 134
angent is constant and eipial to h-. 24. Prove that in the parabola the locus of the point of intersection ofa line through the vertex perpendicular to a tangent with the ordinatethrough the point of tangency is a semi-cubic parabola. AkT. 62. (JONJUGATK DiAMETERS Let {xo, ?/„) be the point of… … Now let (al, ?/,) be the pointof intersection of Fig. 107. y = tan 9 - x with the ellipse, and call the angle made by the tangent to theellipse at (a;,, ?/i) with the X-axis 0. Then tan ?/i tan e=^- ^, tan tan 6 = - Ir Hence the condition tan 6 tan & = causes each of the diameters of the…

Geometry, Analytic

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