 | 1833 - 426 pages
...periodic times would be as the square roots of the distances. Again, from Kepler's law it is known that the velocities of the planets in their orbits...are inversely as the square roots of their distances : whereas, by Mr. Bakewell's hypothesis the velocities would be directly as the square roots of their... | |
 | John Brinkley - 1871 - 344 pages
...? 114, note. 90. What was the Ptolemaic system ? 115. 91. Prove that the velocities of the planets are inversely as the square roots of their distances from the sun. 1'arje 88, note. 92. Hence the stationary points may be graphically represented. Page 89. CHAP. VIII.... | |
 | George W. Parker - 1902 - 270 pages
...at all events, false in the case of Venus. To prove that the Velocities of Two Planets round the Sun are inversely as the square roots of their distances from the Sun. 74. For by Kepler's Third Law we have T2 : I"2 ? : r3 : r's • but circumference of orbit = velocity... | |
 | Trevor H. Levere, W. R. Shea - 1990 - 386 pages
...deceived by an superficial resemblance between these two correct statements: (1) the speeds of the planets are inversely as the square roots of their distances from the Sun, and (2) the speeds of falling bodies are as the square roots of their distances from rest.36 He probably... | |
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Author has propounded two new analogies, viz. that the velocities of the planets in their orbits are inversely as the square roots of their distances from the Sun... 