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 130
wn to either axis, half that axis isa mean proportional between the distances of the intersections from thecentre. * This is an abbreviated form of expression for the distances from the origin to where thecurve cuts the axis. 100 Hi-. PEOPERTIES OF PLANE LOCI. Sugs.—In the figure, AT = X, AD… … -Since ^ = —. we see that X Fig. 101. the intercept of the axis of x does not depend upon the conjugate axis ofthe ellipse, so that, if on the same transverse axis, different ellipses be drawn,the intercejjts on this axis, hy tangents corresponding to the same abscissa areequal. That is, if x and A…
Geometry, Analytic · Calculus
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![An illustration from Nicolai Copernici Torinensis De reuolutionibus orbium coelestium, libri VI : Habes in hoc opere iam recens nato, & aedito, studiose lector, motus stellarum, tam fixarum, quàm erraticarum, cum ex ueteribus, tum etiam ex recentibus obseruationibus restitutos: & nouis insuper ac admirabilibus hypothesibus ornatos. Habes etiam tabulas expeditissimas, ex quibus eosdem ad quoduis tempus quàm facillime caculare poteris. Igitur eme, lege, fruere. [Line in Greek] (1543)](https://img.insideoutlibrary.com/img/200/ia-nicolaicopernici00cope-349-240.webp)
