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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 148

An illustration from Mathematics for engineering students, Analytical geometry and calculus, 1907, leaf 148
pencil pressed against the straight edge, keeping thestring stretched (as at P), will describe the right branchof the hyperbola. For at any point as at P, PF - PF = (FN - PN) - (NPF - PN) =FN - NPF = l + 2a-l= 2a. Analytical Geometry. 139 The other branch may be described similarly by pivot-ing at… … Fig. 52a. Let LK [Fig. 52 (b)] = AA. Extend LK and take anynumber of points on LK produced as P, R, S, T, etc. With Fig. 52b. LP > LK as radius and F and F, successively, as centresdescribe arcs as at G, H, G and H; with the same centresand KP as radius, describe intersecting arcs at G, H, Gand…

Geometry, Analytic · Calculus

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