Analytical View of Sir Isaac Newton's PrincipiaLongman, Brown, Green & Longmans, 1855 - 442 pages |
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Page v
... Scholium to the laws of motion , upon uniform and accelerated motion , 17. Laws and formulas on velocity , space , and time , ib . note . ( SECTION I. Principia . ) Method of prime and ultimate ratios , 19. — Treatise on Fluxions , 20 ...
... Scholium to the laws of motion , upon uniform and accelerated motion , 17. Laws and formulas on velocity , space , and time , ib . note . ( SECTION I. Principia . ) Method of prime and ultimate ratios , 19. — Treatise on Fluxions , 20 ...
Page xiv
... Scholium , Prop . xxxiv . - 221 226 228 · 229 · 233 5. The law of resistance deduced from experiment . Prop . XL . and Scholium NOTE V. - THE RESISTANCE MADE ΤΟ BODIES MOVING IN FLUIDS DEDUCED FROM THE NAMICS . GENERAL PRINCIPLES OF DY ...
... Scholium , Prop . xxxiv . - 221 226 228 · 229 · 233 5. The law of resistance deduced from experiment . Prop . XL . and Scholium NOTE V. - THE RESISTANCE MADE ΤΟ BODIES MOVING IN FLUIDS DEDUCED FROM THE NAMICS . GENERAL PRINCIPLES OF DY ...
Page xv
... Scholium , Prop . L. 269 B. Examination of the case considered by Newton 7. Velocity of sound - Newton's error 8. The manner in which sound spreads after entering through an orifice . Newton , XLII . ε . The notes sounded by different ...
... Scholium , Prop . L. 269 B. Examination of the case considered by Newton 7. Velocity of sound - Newton's error 8. The manner in which sound spreads after entering through an orifice . Newton , XLII . ε . The notes sounded by different ...
Page xvii
... Scholium LIII . 7. The two first laws of Kepler , Scholium LIII . d . The density of the planets , LIII . · ε . The disturbance of the sun's motion by the planetary vortices , LII . , Cor . 5. & c . CHAPTER X. THEORY OF COMETS . 1. The ...
... Scholium LIII . 7. The two first laws of Kepler , Scholium LIII . d . The density of the planets , LIII . · ε . The disturbance of the sun's motion by the planetary vortices , LII . , Cor . 5. & c . CHAPTER X. THEORY OF COMETS . 1. The ...
Page 14
... scholium , against the supposition that he means to give any opinion respect- ing the nature or cause of centripetal force , much less that he ascribes any virtue of attraction to mere centres or mathematical points ; whereas he only ...
... scholium , against the supposition that he means to give any opinion respect- ing the nature or cause of centripetal force , much less that he ascribes any virtue of attraction to mere centres or mathematical points ; whereas he only ...
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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.