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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 115

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 115
By the same transformation as in Ex. 5, show that y* -\- x*-\-Gx^yi = 2, becomes ^2^ + 2/2* = 1- Construct the locus, and both setsof axes, and observe the position of the locus with respect to the twosets of axes. Ex. 7. Given the equation y = ax -\-h (the common equation of thestraight line), to… … sm oc — a cos a: sm ol — a cos oc which is the equation of a right line referred to oblique axes making any angles (a, a) with the primitive axis of x. Now, if we desire simply the form, of the equation of a right hne referred to ob- Hque axes, we may consider the new axis of x as coinciding with…

Geometry, Analytic · Calculus

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