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 262
Fig. 21. subtangent, OT = OP tan TPO = p tan (p. Subnormal,ON = OP tan OPN = p cot <b (since OPN = 900 - TPO) The angle <fi is determined thus: Let ACE be any curve (Fig. 22), the co-ordinates of C … Fig. 22. being (p, 6), and of A being (p + Ap, 6 + A0). Then AB = \p and AOC = Ad. Tan BAC = — [since AdH AB L 254 Elementary Calculus. is a very small angle the arc BC does not differ sensiblyfrom a tangent at B, say]. Whence tan BAC = eM (arc BC = pA#, since an arc = its angle multiplied by…
Geometry, Analytic · Calculus
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