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 225
SPECIAL PEOPERTIES OF THE CONIC SECTIONS. 195 … (€) PROPEETIES OF ORDINATES. 310. JPvop,—The squares of ordinates to the transverse axis of anellipse are to each other as the rectangles of the segments into ivhich theyrespectively divide the axis. Dem.—Let PD =y, FD = ?/. AD = jc, A D = X, then A-y^ + B^x^= A^B^ andA-y^ -f- B-^x^ = A^B^; whence…
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-167-94.webp)
