Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 187
aight lines forming a pencil, and on each of these lines lay off a constant length a on each side of XX. The locus of the points so determined is called the conchoid of Nicomedes. To find the equation of the conchoid, let XX be the X-axis andthe perpendicular through 0, the y-axis. The point of… … Fig. 96 Now, EP=y, DP = 11^ h, and OD = x.and hence FE Va^ — yalso for the point P, where PF=FP=aand reducing, we have the equation sought; namely, By construction, PF=a, It is clear that these relations hold Substituting in (1) x^y^ = (y -\- h)-{a? — y^). Arts. 127, 128] THE WITCH OF AGNESI 171…
Geometry, Analytic
Internet Archive · Boston College Libraries · Public Domain Mark 1.0. Free to use for anything.
