On the Free Motion of Points, and on Universal Gravitation: Including the Principal Propositions of Books I. and III. of the Principia; the First Part of a New Edition of a Treatise on DynamicsFor J. and J. J. Deighton, 1832 - 237 páginas |
Otras ediciones - Ver todo
Términos y frases comunes
accelerating force angle appulse apse apsides area ASP attraction axis body C₁ central force centre of gravity circle co-ordinates cotan curve described diminished direction dist distance disturbing force dt2 dt2 earth ellipse equal equation force LM force MT force vary inversely forces which act Hence high water hyperbola inclination infinite integral Let the force line of nodes longitude lunar manner mean motion moon moon's move nearly Newton octants P's orbit parabola parallel perigee perpendicular plane pole produce PROP proportional quadrature quantity radius ratio revolution satellites sin.² sphere spheroid square sun and moon suppose surface syzygy tend tide velocity velocity² whence whole
Pasajes populares
Página 202 - ... 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.
Página 42 - If a body be projected from a given point with a given velocity in a given direction, and acted on by a force Which varies inversely as the square of the distance ; find the conic seo tion described.
Página 150 - Moon, the inclination of the Moon's orbit, to the plane of the ecliptic, the...
Página 211 - Newton shewed that the force by which the moon is retained in her orbit is the same with the force of gravity which acts upon terrestrial bodies.
Página 216 - ... the resistance of the air: and, placing the one by the other, I observed them to play together forwards and backwards for a long while, with equal vibrations.
Página iii - But yet my object has been unique; and it has not been till after much time and thought spent upon the subject, that I have ventured to lay my work before the public : how I have satisfied my own desire I leave to the candour of my readers to determine.
Página 216 - ... upon all the gold to the action of the same upon all the wood; that is, as the weight of the one to the weight of the other: and the like happened in the other bodies. By these experiments, in bodies of the same weight, I could manifestly have discovered a difference of matter less than the thousandth part of the whole, had any such been.
Página v - An elaborate compliment is paid to Mrs Somerville for her Afechanism of the Heavens. " Our willingness to adopt a more extended study of the mechanism of the heavens into our academic system must needs increase, when these severer studies, thus shewn to be reconcilable with all the gentler train of feminine graces and accomplishments, can no longer, with any shew of reason, be represented as inconsistent with a polished taste and a familiar acquaintance with ancient and modern literature.
Página 198 - ... be the superior tide, or that at the third lunar hour ; •when the moon's declination is south, this will be the smaller tide.
Página 155 - P, attract each other with forces which vary inversely as the square of the...