Analytical View of Sir Isaac Newton's PrincipiaLongman, Brown, Green & Longmans, 1855 - 442 pages |
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Page v
... Principia slow even in England , ib . Editions , ib . Maclaurin and Voltaire , 12 .. Difficulty of read- ing it from its Conciseness and Synthetical form , ib . - Jesuits ' edition , 13. Submission to papal authority , ib . - Pius VII ...
... Principia slow even in England , ib . Editions , ib . Maclaurin and Voltaire , 12 .. Difficulty of read- ing it from its Conciseness and Synthetical form , ib . - Jesuits ' edition , 13. Submission to papal authority , ib . - Pius VII ...
Page vi
... Principia . ) Areas proportional to the times , round a centre of forces , ib . — Empirical discovery of Kepler , ib . Proposition and its converse proved , 32. Corollaries to this fundamental law of centripetal forces , 33. Law of ...
... Principia . ) Areas proportional to the times , round a centre of forces , ib . — Empirical discovery of Kepler , ib . Proposition and its converse proved , 32. Corollaries to this fundamental law of centripetal forces , 33. Law of ...
Page vii
... Principia . ) — Law of forces when the centre of forces is in the focus of the curve , ib . - General theorem that in each of the three conic sections the law is the inverse square of the distance , ib . Converse of the proposition ...
... Principia . ) — Law of forces when the centre of forces is in the focus of the curve , ib . - General theorem that in each of the three conic sections the law is the inverse square of the distance , ib . Converse of the proposition ...
Page viii
... Principia . ) · Observations upon the general inverse problem of centripetal forces , or finding the orbit , the force being given , 80. - Sir Isaac Newton's solution , though geo- metrical , is less synthetical than usual , 82 ...
... Principia . ) · Observations upon the general inverse problem of centripetal forces , or finding the orbit , the force being given , 80. - Sir Isaac Newton's solution , though geo- metrical , is less synthetical than usual , 82 ...
Page x
... Principia . ) — Attraction of spherical surfaces , 135 . Remarkable inferences showing the solidity of the earth , 136 . · Attraction of spheres on particles beyond their surface , 137 . On particles within their surface , 139. — Five ...
... Principia . ) — Attraction of spherical surfaces , 135 . Remarkable inferences showing the solidity of the earth , 136 . · Attraction of spheres on particles beyond their surface , 137 . On particles within their surface , 139. — Five ...
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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.