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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 89

An illustration from 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, leaf 89
rom which the curve would bedescribed by the definition ; at the centre O erect theperpendicular OL. and take AD = AO = OB. Nowtake a rectangular ruler FEC, whose leg CE = AB, andAvhile the extremity C moves in the line OL. let the legFE sUde through the fixed point D, then will the middlepoint of… … Fig. 60. 82, JProh,—To produce the equation of the Cissoid of Diodes. Solution.—In Fig. 59 let AX and AY be the axes of reference, AB = 2a,the diameter of the circle referred to in the definition, and P any point in thecurve. Then AD = x, and PD :=?/. Draw through P the ordinate ED, andalso draw…

Geometry, Analytic · Calculus

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