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 168
coincidesmost nearly, as in this caseM N, is the osculatory circleof the ellipse at the point D.The arc of the osculatory cir-cle in this case is exterior tothe ellipse. The osculatory circle at the vertex, as mn is within, and at any other point, as P, cuts theellipse, as will be shown hereafter.… … BATE OF CURVATUBE. 139 200, T>EF.—Contact. Let M Nand MN be two curves whose equa-tions are respectively y =f(^x) andy = (p(^x). Suppose the curves tohave a common point P, so that forX = x:^=/KD,y = y= PD- Nowif X and x take the infinitesimal in-crement D D, which we will representby h,…
Geometry, Analytic · Calculus
Internet Archive · Boston College Libraries · Public Domain Mark 1.0. Free to use for anything.
![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-149-83.webp)
