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 43
ofwhich are chords, taken in order, of portions of the curve, whenthe number of those points is increased indefinitely, the curvewill be the limit of the polygon. Application to the, determination of certain areas^ volumes, &c. 1. Area of a parabola bounded ly a diameter and an ordi-nate. Let… … JL parallel to AS, meeting the curve in P, Q, and Pn parallel toMN] the curvilinear area A CD is the limit of the sum of theseries of parallelograms constructed, as PN, on the portions corresponding to MN. But, parallelogram PN : parallelogram ABCD :: PM.MN : CD.AD,and, by the properties of the…
Mechanics · Celestial mechanics
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