Mathematics for engineering students, Analytical geometry and calculus (1907)
Keller, S. S. (Samuel Smith), 1867-1923, Knox, W. F., [from old catalog] joint author · New York : D. Van Nostrand company · leaf 81
n a curve is the distancemeasured on the x-axis from the foot of the ordinate ofthe point of tangency to the intersection of the normalwith that axis. Let O [Fig. 27] be a circle, PT a tangent at P (V, /),OP a normal at the same point, PA the ordinate (yf) of P.Then AT = subtangent and OA =… … Fig. 27. y = o in its equation (y = o being the ordinate of thepoint T). Then in equation (Tc) setting y = o, we getxx + o = r27 or x = OT = X Also, OA = x. .-. AT =r2 x> =r2~ x2 =x x _ /: x The subnormal, OA = xf evidently. Example: The subtangent for the point (3, 4) on a circle is —. What is…
Geometry, Analytic · Calculus
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