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Elements of analytic geometry (1884)

Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 98

An illustration from Elements of analytic geometry, 1884, leaf 98
he subtangent of a curve is the projectionon the axis of X of that portion of the tangent interceptedbetween the point of tangency and its intersection with theaxis of X. Thus, if CT is the axis ofX, MT is the subtangent corre-sponding to the tangent PT. Length of the Subtangent. Tofind the length… … CT. MT = r — X X = - X X 73. Def. The normal to any curve is the perpen-dicular to the tangent at the point of contact. Equation of the Normal to a Circle. The equation of theline perpendicular to xx -|- y*y = r^ THE CIRCLE. 83 and passing through the point of contact {x^, y) is, by §47, 7/ y -y ^…

Geometry, Analytic

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