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 126
A, .. PO : 2SY :: SP : SA, :: ±SP.SA : D; and P*r=2,ST, or PK* = ±SP. SA ;.-. PO : PK :: PK2 : L\ II. For the ellipse or hyperbola, PO.PF=CD\ and PK.PF=BC*-,.. PO : PK :: CD* : BG\:: AC* : PF>; LEMMA XI. 107 and AC : PF :: AC.PK: PF .PK=BC* = L .AC, :: PK : L;.. PO : PK :: PK2 : L\ 87. To find… … will be equally inclined to the axis of the conic section. Thus,in the conic section, PQ, E U are equally inclined to the axis. For, if UE, QP intersect in 0, OR. OU= OP. OQ, hencethe diameters of the ellipse parallel to C72, QP are equal, andtherefore equally inclined to the axis. Let Q and E move…
Mechanics · Celestial mechanics
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