A treatise on special or elementary geometry (1877)
Olney, Edward, 1827-1887, Olney, Edward, 1827-1887. Elements of trigonometry, plane and spherical · New York : Sheldon · leaf 303
— rq = 0.The negative root is OE. Thus, let OE = (— x).Theu DO = AE = (- a; - p). Hence (- x) ^0.This construction is evidently always possible irrespective of the relativemagnitudes of p, r,q; a fact which agrees with the statement in algebra thatthis form always has real roots. Second Form, x^… … APPLICATIONS OF ALGEBRA TO GEOMETRY. 285 rg = 0. For DO = (- x), we have DO x OE = DO (OA + AE) = DO (OA + DO)= (— -i) {p — ^) = ^Q\ 01 -^^ — P-^ — ^? = 0. Observe that in the first case the negative root is numericall} greater thanthe positive ; while it is the reverse in tliis form. This agrees…
Geometry · Trigonometry
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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-238-148.webp)
