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 299
whose equations are known.By the principle or minute increments the characteristicsof a curve of irregular curvature are discovered. In dealing with curves it will be helpful to regard themas described by a point moving according to a fixed law,and at any given instant having the direction of a… … Fig. 24. angles made respectively by PQ, and the tangent at P,MN, with the #-axis, to find the length of the arc PQ. Draw the co-ordinates of P and Q, (OT, PT) (OS, QS). Then TS = PR = Ax and QR = Ay. 290 Elementary Calculus. 291 In the right triangle PQR,chord PQ = PR2 + QR2, that is, PQ2 = Ax +…
Geometry, Analytic · Calculus
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