 | Elijah Hinsdale Burritt - 1856 - 358 pages
...the radius vector, at the two ends of the ellipse, the area over which the radius vector has traveled is the same in both cases. The same principle obtains...distance of the planet from the Sun ; hence the rule that ('(& radiu* vector describes equal areas in equal times. I*i the preceding cut, the twelve triangles,... | |
 | Hiram Mattison - 1856 - 254 pages
...radius vector, at the two ends of the ellipse, the area over which the radius vector -lias traveled is the same in both cases. The same principle obtains...part of the planetary orbits, whatever may be their elli|«ticity or the mean distance of the planet from the sun ; hence* the rule, that the radiut rector... | |
 | Elijah Hinsdale Burritt - 1856 - 362 pages
...same in hoth cases. The same principle ohtains in every part of the planetary orhits, whatever may he their ellipticity or the mean distance of the planet from the Sun; hence the rule that the r'ldius vector descrihes equal areas in equal times. IT the preceding cut, the twelve triangles, numhered... | |
 | William Henry Smyth - 1867 - 836 pages
...the sun in ellipses, having that luminary in one of the foci. 2. The planets describe about the sun equal areas in equal times. 3. The squares of the periodic times of the planets are to each other as the cubes of their mean distances from the sun. KEPLING. See CAPLIN.... | |
 | Hiram Mattison - 1872 - 264 pages
...The same principle obtains in every part of the planetary orbits, whatever may be their elliptidty or the mean distance of the planet from the sun; hence the rule, that tIit radnw vsi tor describe* fiiui/l areas in equal times. In the preceding cut, the twelve triangles,... | |
 | Elijah Hinsdale Burritt - 1874 - 362 pages
...the radius vector, at the two ends of the ellipse, the area over which the radius vector has traveled is the same in both cases. The same principle obtains...radius vector describes equal areas in equal times. In the preceding cut, the twelve triangles, numbered 1, 2, 3, &c., over each of which th« radius vector... | |
 | Elijah Hinsdale Burritt - 1873 - 360 pages
...the radius vector, at the two ends nf the ellipse, the area over which the radius vector has traveled is the same In both cases. The same principle obtains in every part of the planetary orbits, whatever ma/ be thair ellipticity or the mean distance of the planet from the Sun ; hence the rule that lh«... | |
 | Elijah Hinsdale Burritt - 1873 - 358 pages
...ends of the irllipse, the area over which the radius vector has traveled is the same in both casca. The same principle obtains in every part of the planetary orbits, whatever may be thair elliptlclty or the mean distance of the planet from the Sun ; hence the rule that tho r'ltiiiM... | |
 | George Ripley, Charles Anderson Dana - 1873 - 836 pages
...If a line be supposed continually drawn from the sun to any given planet, this line will sweep over equal areas in equal times. 3. The squares of the periodic times of the planets are proportional to the cubes of their mean distances. In the mean time the telescope... | |
 | Henry Kiddle - 1870 - 194 pages
...having the sun or central body in one of the foci. 2. The radius-vector of a planet's orbit passes over equal areas in equal times. 3. The squares of the periodic times of the planets are in proportion to the cubes of their mean distances from the sun or central body.... | |
| |
The radius vector (line joining the centre of the sun with the centre of the planet) of each planet sweeps over equal areas in equal times. (3) The squares of the periodic times (the periods of complete revolution round the sun) of nnv planets are proportional... 
