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 57
. Ex. 10. Eind the intersections of 25i/2 +4a;2 = 100, by the following : 1st, y^ +a; = 9 ; 2d, y^ + 2y + a;^ = 8 ; 3d,2/2 + 41/+^2 = 5; 4th, 2/2 + 101/+07= y^^^—16 ; and 5th, i/^ + Vly + ^2 = —27. Results.—Ui, At (2.44,1.7); (—2.44,1.7);(2.44, —1.7); (—2.44, —1.7) which affordsan example of 4 real… … 28 THE CARTESIAN METHOD OF CO-ORDINATES. —0, or practically, though not theoretically, one. 3rd, Gives two realand two imaginary points, illustrating that imaginary roots enter inpairs. 4th, Gives two equal real roots, both 0, and two imaginary,showing a point of contact. 5th, Four imaginary roots,…
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-237-146.webp)
