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Brief course in analytic geometry (1911)

Tanner, J. H. (John Henry), b. 1861, Allen, Joseph · New York, American Book Co · leaf 192

An illustration from Brief course in analytic geometry, 1911, leaf 192
NGENTS, NORMALS, DIAMETERS 104. Tangent to a conic in terms of its point of contact. Theequation of a tangent to a conic may be found by the methodof Art. 61. That Article should now be reread with care. 105. Tangent to a curve at a given point: second method. Asecond form of the method of Art. 61… … Fio. 75. kNow, the slope of the secant is - ; and as the secant moves so that P2 approaches Pi along the curve, this slope approachesas a limit the slope of the tangent P^T; while h and A; ap-proach 0 as a limit; ~k m, = limit when A = 0, and fc = 0. Now, from Eq. (1), Ax, + 2 //X12/1 + By, +C = 0.…

Geometry, Analytic

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