Newton's principia, first book sections I, II, III, with notes and illustrations and a collection of problems, principally intended as examples of Newton's methods (1900)
parabola, FO . 28Fi: SP. SY.. 8Y: 8A- .-. F0.28Y:: 8F: 8A :: 4.8F.8A : U-, but FK= 28Y; .-. FK = 4.8F.8A; .-. FO-.FK:-. FK: L\ (ii) For the ellipse or hyperbola, FO.FF= CD and FK.FF^BC-,.. FO:FK:: CB : BG:: AC-. FFbut FF.FK=BC=-.L.AG, .: AG: FF.. FO : FK:: FK: L\ FK: L) 98 NEWTON. 85. To find the… … be equally inclined to the axis of the conic section. Thus, Inthe conic section, PQ^ RUare equally inclined to the axis. For, if UE, QP intersect in O, OR.OU= OP.OQ^ hencethe diameters of the ellipse parallel to UR^ QP will be equal,and therefore equally inclined to the axis. Let Q and R move up to…
Mechanics · Celestial mechanics
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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-151-85.webp)
