 The third law, that the squares of the periodic times are as the cubes of the distances, is a property which belongs to the bodies describing elliptic orbits under the conditions just stated.  Elements of Plane Astronomy - Page 236by John BRINKLEY (Bishop of Cloyne.) - 1836 - 287 pagesFull view - About this book
 | Ralph Griffiths, George Edward Griffiths - 1800 - 570 pages
...body, U 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... | |
 | Edward Augustus Kendall - Encyclopedias and dictionaries - 1811 - 482 pages
...of the planets, the respective real distances of the whole may be found by means of Kepler's law, " that the squares of the periodic times are as the " cubes of their mean distances from the son." DISTANCE, apparent, in optics, is that distance .which we judge an object... | |
 | George Adams - Astronomy - 1812 - 552 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... | |
 | George Adams - Astronomy - 1812 - 586 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... | |
 | John Millard - Handbooks, vade-mecums, etc - 1813 - 704 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. The time of performing1 their revolutions... | |
 | Encyclopaedias, John Millard - Children's encyclopedias and dictionaries - 1813 - 712 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... | |
 | John Playfair - Astronomy - 1814 - 392 pages
...27d.32166, § 124. and her mean distance 59.879 semidiameters of the Earth. From this, on the supposition that the squares of the periodic times are as the cubes of the distances the period of a body projected, so as to describe a circle round the Earth, will be found... | |
 | John Playfair - Science - 1822 - 464 pages
...section, if the projectile force does not exceed a certain limit, will become an ellipse. The third law, that the squares of the periodic times are as the cubes of the distances, is a property which belongs to the bodies describing elliptic orbits under the conditions... | |
 | James Mitchell - Mathematics - 1823 - 666 pages
...also the distances of all the other ptanels, will be known also, from the thud law ot Kepler, vix. that the squares of the periodic times are as the cubes of the distances. There are many different methods of determining the parallax of the planets; but being... | |
 | Industrial arts - 1824 - 492 pages
...precise day, (May 15th, 1618,) when he found out this third law of the planetary motions, viz. — " That the squares of the periodic times, are as the cubes of their mean distances from the sun." Having discovered these three laws of the planetary motions, he also... | |
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