Smart, Edward Howard · London : Macmillian and Co. · leaf 208
urve at the point, and its radius the radius of curvature. The reciprocal of this radius is the measure of the curvature of the curve at that point. Def. Any chord of the circle of curvature passing throughits point of contact with the curve is called a chord of curvatureof the curve at that point.… … up to P, this is the circle of curvature of the curve at P. LetPK be a chord of the circle in the given direction. Through Qdraw QQT parallel to PK to cut the tangent at P in T. TANGENT AND NORMAL PROPERTIES 181 Then TP2 = TQ.TQ, and Limit (T^^^ = Limit (TQ) = PK,when Q moves up to P. TP2Hence Lt —…
Geometry, Projective
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