File:Principia Circular Orbit Propositions 7 and 8.jpg
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[edit]DescriptionPrincipia Circular Orbit Propositions 7 and 8.jpg |
English: In the Principia Book 1 Proposition 7 Newton determines the acceleration directed to a fixed point required to make a particle move in a circular arc, where the point is not the centre of the circle. The method is the same as that used to prove that the acceleration required to make a body move in an elliptical orbit directed to one of the foci is inversely proportional to the square of the distance of the body from that focus. In Proposition 8 he considers the case where the fixed point is infinitely distant from the circle, so the acceleration acts in a fixed direction at all points on the circle. In the Scholium to Proposition 8, he extends this by transforming the circle successively to an ellipse, parabola and hyperbola. |
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Source | Own work |
Author | Mikerollem |
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current | 16:25, 22 March 2012 | 610 × 1,790 (271 KB) | Mikerollem (talk | contribs) |
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