| David Gregory - 1715 - 441 páginas
...а^но, in any two Primar)' PlaH h 4 nets 47 1 The ELEJVEEI? TS Book III. nets compared together, **the Squares of the Periodic Times are as the Cubes of the** greater Axes <jif the Orbits, wherein. they are carried. And generally the agreement of the Places... | |
| Isaac Newton - 1729 - 320 páginas
...demonftrated : If feveral bodies revolve with an equable motion in concentric circles, snd the fquares **of the periodic times are as the cubes of the diftances from the common** cen1 tre ; the centripetal forces will be reciprocally as the fquares of the diftances. Or, if bodies... | |
| 1734
...befides, thefe Things muft be alfo granted, as being Mathematically demonftrated : If feveral Bodies **revolve with an equable Motion in concentric Circles,...the Cubes of the Diftances from the common Centre** 5 the Centripetal Forces will be reciprocally as the Squares of the Diftances ; or, if Bodies revolve... | |
| Ralph Griffiths, George Edward Griffiths - 1800
...the velocity in a circle, radiua^i, then ^''rrt^ M. LA PLAQE shews that the law of Kepler, viz. that **the squares of the periodic times are as the cubes of the** axes, U not rigorous, and only obtains in as much as the mutual action of the planets, and their action... | |
| Colin MacLaurin - 1801 - 412 páginas
...centripetal forces are as the distances of the revolving bodies from the centres of the circles. When **the squares of the periodic times are as the cubes of the** rays of the circles, and, consequently, the velocities in the subduplicate ratio of these rays inversely,... | |
| Isaac Newton - 1803
...demonftrated. IF feveraf bodies revolve with an equable motion in concentric circles, and the fquares **of the periodic times are as the cubes of the diftances from the common centre, the** centripetal forces will be reciprocally as the fquares of the diftances. Or, if bodies revolve in orbits... | |
| Samuel Vince - 1811 - 297 páginas
...satellites move in circular orbits, we may take 44",23 for the true distance, without much error; hence, as **the squares of the periodic times are as the cubes of the** distances, the distance of the first satellite comes out 33",09. The synodic revolutions were here... | |
| George Adams - 1812 - 518 páginas
...general harmony and universal law, which all the other moving bodies in the system observe ; namely, that **the squares of the periodic times are as the cubes of the** distances; but if the sun moves round the earth, that law is destroyed, and the general order of symmetry... | |
| George Adams - 1812 - 518 páginas
...general harmony and universal law, which all the other moving bodies in the system observe ; namely, that **the squares of the periodic times are as the cubes of the** distances ; but if the sun move* round the earth, that law is destroyed, and the general order of symmetry... | |
| John Millard - 1813 - 671 páginas
...their motions always conforming to the law discovered by Kepler, but first demonstrated by Newton, that **the squares of the periodic times are as the cubes of the** respective mean distances from the sun, or focal body. 3. Th« time of performing' their revolutions... | |
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