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)
volume of a paraboloid by comparison with thearea of a triangle whose vertex and base are those of the generatingparabola. 4. Find the centre of gravity of the paraboloid by referenceto the same triangle. 5. Find the mass of a straight rod, whose density varies as thesquare of the distance from one… … _ As a first step, prove that, pqsr being the projection of theinscribed parallelogram PQSIi, pqsr : PQSH : : cosBAC i 1. 7. Find the volume of a hemisphere by comparing the volumesgenerated by the quadrantal sector and the portion of the circum-Bcnbmg square which is the difference between the…
Mechanics · Celestial mechanics
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