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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 111

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 111
on pre-sents itself, the example of the last paragraph may be stated,—Having given theequation x^ — Qxy + 2/^ — 6x -{- 2y -(- 5 =. 0, as the equation of a locus referred torectangular axes, required to find the position of a new pair of axes to which, whenthe locus is referred, its equation will… … ScH.—As tliGfo77n (not the degree) of the equation of a locus, depends ina large measure upon the situation of the axes, or upon the system used, itwill be readily seen that a set of axes in some particular position, or someparticular system of co-ordinates, may be best suited to one class of…

Geometry, Analytic · Calculus

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