Calculus, with applications; an introduction to the mathematical treatment of science (1900)
Hayes, Ellen, 1851- · Boston, Allyn and Bacon · leaf 72
ve x = r cos 6 and y = r sin 0, in which x, y, r, VELOCITY. 61 and 6 depend upon the time t. Differentiating with tas the fundamental variable, dx _ drdi~~dt cos i sin 6 dd dt dy dr . a , add -2- = — sin u + r cos u — dt dt dt dx O) dxAccording to the preceding article, — is the velocity dx… … Fig. 5. whole velocity along the radius vector. From equa-tions (a) and (b) we have dt dt at O) ^COS0- dx . n dO sm v = r — dt dt dt 62 CALCULUS. Again, resolving along a line perpendicular to theradius vector and combining the parts, oo The reason for the minus sign in the first memberof equation…
Calculus · Geometry, Analytic
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
