Analytic geometry and principles of algebra (1913)
Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 204
P (Fig. 7o) we may sul)divide the area into rectangular strips of equal width, y by tlividing OQ into, say, n equal parts and drawing the ordinates ?/i, ?/o, -.. ?/«. If the width of these strips is Ax so that OQ = nAx, we have as approximate value of the area : (A) =Ax-yi-i- AXyo+ ..■ + Ax •… … 2/1 _1_4« (Ax y2 = -^{2 Ax)2,4 a Substituting these values we find (A) =iMI^(i+22-^3^ +4 a yn = -—(nAxy.4 a + n2). 192 PLAXE AXALVTIC G1:oM1:T11Y [IX, s^ 19S Hy Kx. :] h. p. 74. 1-1-2-+ ... ^ n- = Xii{n \){-ln r \)=\i:ln^ + 3 n-+ n) \ hence 24 ry ^ („\.r 24 a II //- Now /;A./; = 0() — .•„. the…
Geometry, Analytic
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