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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 233

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 233
through the focus is the parameter to the diameter passingthrough the point of contact. Dem. O being the centre of the os-culatory circle at 3P, in the parabolawhose focus is F, IE*^wC is the chord ofcurvature passing through the focus, andis the parameter to IP3D, the diameterthrough IE*. For,… … and p the semi-latusrectum of the curve {211); !FIj = ^!F*IEj = \]Sf {164:or 284), and IT = A/^^ + XJF * = \/\n^-\-~N^1 4pi pi 1 /2>2 4- ^2 7^2 g NY ^ / - — {143, Ex. 2), remembering that p^ + y^ = W\ Substituting these values, we have, IPIMI = —s- x -pr- 2i^3 ]^ 2p 2i\r2 p 2 W = = 4JrJb and…

Geometry, Analytic · Calculus

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