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 186
now havetwo squares (see Fig. 2), andthe increase in area of y, due to the increment Ax, is represented by the shaded strip;this increment, which we will call Ay, is obviously anincrement of area. We thus have: Area of square on (x + Ax) = {x-\-Ax)2= (3.i)2=9.6i.Area of square on x = x2 = (3)2 =9.… … 178 Elementary Calculus. during the arbitrary unit of time before alluded to, we say: Rate of increase of square y _ 0.61 _ Ay _ , Rate of increase of side x .1 Ax We will now tabulate a number of values, calculated exactly as above, for —2- , for x = 3 centimetres: Ax If Ax = 0.1 then —2. = -— =…
Geometry, Analytic · Calculus
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