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" For the focus, the point of contact, and the position of the tangent, being given, a conic section may be described, which at that point shall have a given curvature. But the curvature is given from the centripetal force and velocity of the body being... "
The First Three Sections of Newton's Principia: With Copious Notes and ... - עמוד 39
מאת Isaac Newton - 1826 - 183 דפים
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The Mathematical Principles of Natural Philosophy, כרך 1

Isaac Newton - 1729 - 320 דפים
...the pofition of the tangent being given, a conic feclion may be defcribed, which at that point Hull have a given curvature. But the curvature is given from the centripetal force and the bodies velocity given : and two orbits mutually touching one the other, cannot be defcribed by the...
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An Elementary Course of Mathematics: Designed Principally for Students of ...

Harvey Goodwin - 1849 - 528 דפים
...centre, the body will move in a conic section having the centre of force in its focus ; and conversely. For the focus, the point of contact, and the position of the tangent being given, a conic section can be described, which shall have a given curvature at that point. But the curvature is given because...
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Newton's Principia: Sections I. II. III.

Sir Isaac Newton - 1863 - 288 דפים
...in some one of the conic sections, having a focus in the center of force, and conversely. For when the focus, the point of contact, and the position of the tangent are given, a conic section can be described which will have a given curvature at that point. But when...
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Newton's Principia, Sections I, II, III, with Notes and Illustrations: Also ...

Sir Isaac Newton, Percival Frost - 1863 - 288 דפים
...in some one of the conic sections, having a focus in the center of force, and conversely. For when the focus, the point of contact, and the position of the tangent are given, a conic section can be described which will have a given curvature at that point. But when...
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The True Doctrine of Orbits: An Original Treatise on Central Forces

H. G. Rush - 1887 - 135 דפים
...in some one of the conic sections, having a focus in the center of force, and conversely. For, when the focus, the point of contact, and the position of the tangent are given, a conic section can be described which will have a given curvature at that point ; but,...
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Principia: First Book. sections I, II, III

Isaac Newton - 1900 - 292 דפים
...in some one of the conic sections, having a focus in the centre of force, and conversely. For when the focus, the point of contact, and the position of the tangent are given, a conic section can be described which will have a given curvature at that point. But when...
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The Investigation of Difficult Things: Essays on Newton and the History of ...

Peter M. Harman, Alan E. Shapiro - 2002 - 548 דפים
...revised second edition, however, contains the following extension to Corollary 1 of Proposition 13: And the contrary. For the focus, the point of contact,...curvature is given from the centripetal force and the bodies velocity given: and two orbits mutually touching one the other, cannot be described by the same...
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