Analytical View of Sir Isaac Newton's PrincipiaLongman, Brown, Green & Longmans, 1855 - 442 Seiten |
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Häufige Begriffe und Wortgruppen
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
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Seite 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.