... 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. Principles of Logic - Page 347by George Hayward Joyce - 1916 - 431 pagesFull view - About this book
| David Gregory, Edmond Halley - Astronomy - 1715
...greater than that of the nearer, in the fefquiplicate ratio of the diftances from the Sun; that is, **the Squares of the Periodic Times are as the Cubes of the** diftances from the Sun. Which things are to be underftood after the like manner concerning the Secondary... | |
| Thomas Gent - 1734
...Mathematically demonftrated : If fcveral Bodice revolve with an equable Motion in concentric Circles, and **the Squares of the Periodic Times are as the Cubes of the** Diftances from the common Centre $ the Centripe• tal Forces will be reciprocally as the Squares of... | |
| 1734
...Mathematically demonftrated : If feveral Bodies revolve with an equable Motion in concentric Circles, and **the Squares of the Periodic Times are as the Cubes of the** Diftances from the common Centre 5 the Centripetal Forces will be reciprocally as the Squares of the... | |
| 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 - Calculus - 1801
...the 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,... | |
| Samuel Vince - Astronomy - 1811 - 297 pages
...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 - Astronomy - 1812 - 518 pages
...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... | |
| George Adams - Astronomy - 1812 - 518 pages
...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... | |
| John Millard (assistant librarian of the Surrey inst.) - 1813
...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. The time of performing1 their revolutions... | |
| John Millard - Handbooks, vade-mecums, etc - 1813 - 671 pages
...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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