A general geometry and calculus : including book I. of the general geometry, treating of loci in a plane; and an elementary course in the differential and integral calculus (1881)
Olney, Edward, 1827-1887 · New York : Sheldon and Co. · leaf 92
ity of an ordinate to a circle, produced until the produced ordinateis to the ordinate itself, as the diameter of a circle is to one of thesegments into which the ordinate divides the diameter,—these seg-ments beinsf all taken on the same side. 87* I*TOh, To condruct the Witch of Agnesi.… … 88, I*TOh, To produce the equation of the Witch. Solution.—Letting the axes be as represented in Fig. 67, so that P being anypoint, A D = cc, P D = j/ ^^^ calling the diameter of the circle, A B = 2a, theequation is a>!?/ = 4a-(2a — y). [Let the student supply the demonstration.] ScH.—The Witch…
Geometry, Analytic · Calculus
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