Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 214
pole isobtained by putting x = p cos Q, y = P sin 6. p2 C0S2 e p2 gin2 Q i2 62 a262 a^V ■P = ¥ cos2 d- a^ sin2 d V - {o? + b) sin2 d[The discussion of this equation is left for the student.] 150. Construction of the curve This is based on the principle of § 149. The foci and 2 a are given.(1)… … Fig. 123. point P, while turning the ruler about F. The point P willdescribe one branch of the curve, for in every position wehave PF — PF^ = 2 a. For the other branch, interchange thefixed end of the ruler and the end of the string. (2) Bi/ points : Bisect FF in 0. In FF produced take any point D.…
Geometry, Analytic
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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-311-203.webp)
