Analytical View of Sir Isaac Newton's PrincipiaLongman, Brown, Green & Longmans, 1855 - 442 pages |
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Page v
... I. Principia . ) Method of prime and ultimate ratios , 19. — Treatise on Fluxions , 20. - Fundamental principle of the generation of quantities , ib . - Generation of curves , 21 . -- - -- Nomenclature , 22 . — Notation , ib . - A 3.
... I. Principia . ) Method of prime and ultimate ratios , 19. — Treatise on Fluxions , 20. - Fundamental principle of the generation of quantities , ib . - Generation of curves , 21 . -- - -- Nomenclature , 22 . — Notation , ib . - A 3.
Page vi
... Method of drawing tangents , 26. — Normals , ib . — Exemplified in the conic sections , 27.- Problems of maxima and minima , Quadrature of curves , 28. Example : ib . - - Example , ib . - - - ―― -- Parabola , ib . Rectification of ...
... Method of drawing tangents , 26. — Normals , ib . — Exemplified in the conic sections , 27.- Problems of maxima and minima , Quadrature of curves , 28. Example : ib . - - Example , ib . - - - ―― -- Parabola , ib . Rectification of ...
Page vii
... Method of determining the place of a body in a given trajectory , being a conic section , at any given time , 69. — Solution for the parabola , 70.— Method conversely of finding the time , the places being given , 71. — Solution for the ...
... Method of determining the place of a body in a given trajectory , being a conic section , at any given time , 69. — Solution for the parabola , 70.— Method conversely of finding the time , the places being given , 71. — Solution for the ...
Page viii
... method of quadratures , ib . Re- marks on that method , 85. The subject illustrated in the case of the inverse cube of the distance , ib . — Another solution given by a polar equation , 86. — Conclusion of the subject of centri- petal ...
... method of quadratures , ib . Re- marks on that method , 85. The subject illustrated in the case of the inverse cube of the distance , ib . — Another solution given by a polar equation , 86. — Conclusion of the subject of centri- petal ...
Page xiv
... method used by Newton 6. The method supplied by the Planetary Theory . Section IV . Page 212 ib . 217 CHAPTER IV . THE MOTION OF FLUIDS , AND THE RESISTANCE ΤΟ BODIES MOVING IN THEM . SECTION VII . 1. Newton's investigation of the law ...
... method used by Newton 6. The method supplied by the Planetary Theory . Section IV . Page 212 ib . 217 CHAPTER IV . THE MOTION OF FLUIDS , AND THE RESISTANCE ΤΟ BODIES MOVING IN THEM . SECTION VII . 1. Newton's investigation of the law ...
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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.