Analytical View of Sir Isaac Newton's PrincipiaLongman, Brown, Green & Longmans, 1855 - 442 pages |
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Page vi
... force as the square of the arc , and inversely as the distance , 34. Demonstration , ib . Importance of this propo ... Central force in a circle , when the centre of forces is the centre of the circle , other point in the diameter , or ...
... force as the square of the arc , and inversely as the distance , 34. Demonstration , ib . Importance of this propo ... Central force in a circle , when the centre of forces is the centre of the circle , other point in the diameter , or ...
Page vii
... Central force in an ellipse when the centre of force is the centre of the ellipse , 53. Converse of the pro- position , 54. Equality of periodic times in concentric similar curves , when the law of the force is as the distance , ib ...
... Central force in an ellipse when the centre of force is the centre of the ellipse , 53. Converse of the pro- position , 54. Equality of periodic times in concentric similar curves , when the law of the force is as the distance , ib ...
Page xii
... FORCE . I. Elementary Principles of Hydrostatics 1. What a fluid is , the terms viscosity , solidity , & c . , 2 ... central force Page 172 Note II . 320 1. Solution of the xii CONTENTS .
... FORCE . I. Elementary Principles of Hydrostatics 1. What a fluid is , the terms viscosity , solidity , & c . , 2 ... central force Page 172 Note II . 320 1. Solution of the xii CONTENTS .
Page xvii
... Force varying inversely as the distance , 421 . Note IV . Central forces to more than one point , 424 . Note V. Leibnitz's Dynamical tracts , 437 . a 306 307 INTRODUCTION . THE object of this Analytical View is two CONTENTS . xvii.
... Force varying inversely as the distance , 421 . Note IV . Central forces to more than one point , 424 . Note V. Leibnitz's Dynamical tracts , 437 . a 306 307 INTRODUCTION . THE object of this Analytical View is two CONTENTS . xvii.
Page xxi
... central forces || , the illustration of its application to planets and comets is involved in little difficulty ; and the manner of finding the place of these bodies at given periods of their revolution may be under- stood without ...
... central forces || , the illustration of its application to planets and comets is involved in little difficulty ; and the manner of finding the place of these bodies at given periods of their revolution may be under- stood without ...
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Common terms and phrases
angle applied apsides attraction axis Bernouilli body moves calculus central force centre of forces centre of gravity centrifugal force centripetal force circle comet conic sections corollaries curve cycloid demonstration density described diameter differential differential calculus direction discoveries distance disturbing force earth eccentricity ellipse equal equation evanescent expression fluid fluxion focus force acting force is inversely geometrical given points Hence hyperbola infinitely integral investigation Laplace masses method moon moon's move round observed orbit osculating circle parabola particle pendulum perpendicular planets Principia problem proportion proposition quadrature quantity radii radius of curvature radius vector ratio rectangle resistance respecting revolve round satellites Scholium Sir Isaac Newton solution space sphere square straight line supposed surface syzygy tangent theory tide tion trajectory triangles velocity wave whole
Popular passages
Page 37 - ... the squares of the periodic times are as the cubes of the distances from the common centre, the centripetal forces will be inversely as the squares of the distances.