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)
s, becausethe demonstration breaks down for any finite distance from theultimate form of the hypothesis. p 34 NEWTON. Application to the determination of certain Areas^ Volumes^ dsc. (1) Area of an ellipse. Let A Ca be the major axis of an ellipse, BC the semi-minoraxis, ADa the auxiliary circle,… … tt- SI C IS J>£ A. Hence, area of ellipse : area of circle :: BC: AC^ but areaof circle = ttA C^ ; therefore area of ellipse = ttA C.BG, (2) Area of a sector of an ellipse^ pole in tJie focus.If >S be a focus of the ellipse, and SP^ SQ be joined,aSFAI : ASQM : i BC: AC,and area APM: area A QM…
Mechanics · Celestial mechanics
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