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)
Art. 86, and i^CZ-CZ) AC=^CY-CY\ .-. CY-CY : CZ-CZ ::AC:dCY:: CY:ZCZ; ,, YV=^CY, or the chord of curvature through the centreis two-thirds of the radius vector. THE LEMNISCATE. 133 Also, the radius of curvature : ^ YV :: CY: CZ:: AC : CY:: CF: CY, hence the radius of curvature is ^CP, or ^ of the… … Draw SY, HZ perpendicular to the tangent to the hyper-bola at P, and let SY meet the auxiliary circle again in Z^and join sYj sZ\ sY^ hY^ and hZ. Since Cs = s8^ the perpendicular from s on YY bisects it;therefore sY = sY^ similarly hY=hZ—sZ. Now 8C.Ss = \SC^AG^SY.8Z, therefore a circle can be drawn…
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-319-211.webp)
