Newton's Principia, sections I, II, III, with notes and illustrations. Also a collection of problems (1863)
Newton, Isaac, Sir, 1642-1727, Frost, Percival, 1817-1898 · Cambridge, London, Macmillan and Co · leaf 274
- / ^ -«- \ 7T — + - \wi n) a + b therefore the radius of curvature is 2PA . a where PA is the chord drawn from the generating point to thepoint of contact. If a = GO , or the fixed circle becomes a straight line, theepicycloid becomes a cycloid, and the radius of curvature istwice the normal as in… … center of the fixed circle, meeting the rolling circle in A, E.Produce PA to 0, so that PAO : PA :: 2 or A 0 : PA :: a : a + 2b. Draw the chord EQ parallel to PA, and join CQ. Then, since AO : EQ :: AC : EG :: a : a + 2b,0, the center of curvature of the epicycloid FP at P, lies in CQ,and, since CO…
Mechanics · Celestial mechanics
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
![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-340-231.webp)
