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 214
Calculus, as soon as he is able.] (a) EADII VECTOEES AND THE ANGLES WHICH THEY MAKE WITH A TANGENT. 2S9, Def.—A Radius VectOi^ of a conic section is a linedrawn from a focus to a point in the curve. 200, JPTop,—In an ellipse the sum of the radii vectores to anypoint in the curve is constant and… … Fig. 195. also r=V p D^-f D F^=^Vy-\-{Ae-\-xf.But 2/2 = (^2 _ a;2)(i _ e2) {S2), Sub-stituting this value of y-, we haver = \/[A^ — x^){i — e^) -f {Ae — x)-^ =\/A^ — 2Aex -\- e^x^ = A — ex\ andr = V{A^—x^}{l — e^)-\-[Ae -f- 03)2 = v/^a _|_ ^Aex + e^^ = A-\- ex. Adding,r -\- r =. 2A, for the…
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)
