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)
ius is a side of the square. 5. By supposing the axis of a parabola portioned off into suc-cessive lengths in the ratio 1:3:5, &c., apply Lemma III. to findthe area contained by the curve and a double ordinate. 6. Find the volume generated by the revolution of an ellipticdisc about an axis… … IBJI G- Shew that the area ABE varies as HO, where OK is theordinate equal to BE of the circle CH, whose centre is F andradius FG. LEMMA II„ III. 31 8, In the curve of the last problem shew that the ratio of the^r^^ ^2P}?. *^^ triangle whose sides are AB, and the tangents-47, IJI at the…
Mechanics · Celestial mechanics
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![An illustration from Divina proportione : opera a tutti glingegni perspicaci e curiosi necessaria oue ciascun studioso di philosophia: prospettiua pictura sculptura: architectura: musica: e altre mathematice: suavissima: sotile: e admirabile doctrina consequira: e delecterassi: co[n] varie questione de secretissima scientia (1509)](https://img.insideoutlibrary.com/img/200/ia-divinaproportion00paci-32-39.webp)