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 195
Fig. 6. term gradient is applied to the numerical value of the vertical rise BC /c, J?-„ a n ratio, : —: = — (See .tig. 6.) horizontal distance AB BC i Now tangent BAC = -7^-= - = 0.2, and since the natural tangent of (ii° 19) = 0.2 unit, therefore, the i86 Elementary Calculus. gradient of the… … Fig. 7- Let the co-ordinates of any point Q on AB be x and y.Let x be increased by Ax, and y by Ay. Completing the construction shown in Fig. 7, we have PQ _ RQ CP RQ QR tan Z DCB = and QR Ay .A* (by similar triangles), Hence 4^ = tangent Z DCB. Ax If the increment Ax becomes infinitely small, then…
Geometry, Analytic · Calculus
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