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 77
s AD. But. even in this case, the angle between the chord andthat tangent which belongs to the portion of the curve considered, continually diminishes and ultimately vanishes. Definition of the subtangent. 35. The part of the line of abscissae intercepted between thetangent at any point and the… … JT a curve, and let Q be a point near P, ON, NQ its abscissaand ordinate. LEMMA VI. 59 Let QPU meet OX the line of abscissae in Z7; then, if PRparallel to OM meet QN in R-, PM : MU :: QE : PR :: QN-PM: ON-OM. Now as Q approaches to P, the limiting position of QPU isthat of the tangent at P (Lemma…
Mechanics · Celestial mechanics
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