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 25
can be illustrated as follows, by examiningthe effect of the omission of some of the points in the statementof the Lemma. Draw Oy, Ox at right angles, AB any straight line meetingOy in A, CED a curve touching AB in E and meeting Oy inC, CD another touching a straight line parallel to AB in (7,3IQPP… … Omit the word constanter, and the curve CED is admissible in a representation of the approach of the quantities ; becausethe ordinates approach, before the end of the time, nearer than byany assignable difference, as at E, although the condition of continual tendency to equality is not satisfied.…
Mechanics · Celestial mechanics
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