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" The squares of the periodic times of the planets are proportional to the cubes of their mean distances from the Sun. "
The Cambridge Modern History - الصفحة 681
المحررون: - 1908
عرض كامل - لمحة عن هذا الكتاب

The Intellectual repository for the New Church. (July/Sept. 1817 ...

New Church gen. confer - 1855 - عدد الصفحات: 590
...present planetary orbits ; and he gives a formula which brings out the same results as Kepler's law, that the squares of the periodic times of the planets are proportional to the cubes of their respective distances, There is also another motion which he points out, which is at present not...

Encyclopaedia Britannica; Or A Dictionary of Arts, Sciences, and ..., المجلد 3

1823 - عدد الصفحات: 894
...some relation existed between them. After many attempts continued for 17 years, he at last discovered that the squares of the periodic times of the planets are proportional to the cubes of the greater axis of their orbits. CHAP. IV. Of the Orbit j of the Comets. OF all the celestial bodies,...

An Elementary Treatise on Astronomy: Adapted to the Present Improved State ...

John Farrar - 1827 - عدد الصفحات: 464
...the force is in this ratio, the curve is a conic section. 3d. The squares of the times of revolution of the planets are proportional to the cubes of the major axes of their orbits ; or what amounts to the same thing, the areas described in equal times in different orbits, are proportional...

Mechanism of the Heavens

Mary Somerville - 1831 - عدد الصفحات: 710
...the orbits of the planets and comets are conic sections, having the sun in one of their foci. iii. That the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. 310. It has been shown, that if the law of the force which acts...

Mechanism of the Heavens

Mary Somerville - 1831 - عدد الصفحات: 720
...indefinitely small time dt, is J cdt ; hence the law of Kepler gives whence (85) But, by Kepler's third law, the. squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun ; therefore T' = *" a\ k being the same for all the planets. Hence...

The Connection of the Physical Sciences

Mary Somerville - 1834 - عدد الصفحات: 390
...orbits of the planets and comets are conic sections, having the sun in one of their foci ; and third, that the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. These laws extend also to the satellites. Latent heat. Caloric existing...

On the Connexion of the Physical Sciences

Mary Somerville - 1834 - عدد الصفحات: 484
...orbits of the planets and comets are conic sections, having the sun in one of their foci ; and third, that the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. These laws extend also to the satellites. Latent heat. Caloric existing...

Transactions of the ... Annual Meeting of the Western Literary ..., المجلد 6

Western Literary Institute and College of Professional Teachers - 1837 - عدد الصفحات: 286
...the thought conveyed by it, any more than it would lead him to the knowledge of the Keplerian law, that the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun's centre! ' These are subsequent efforts. A child of four years of...

A System of Logic, Ratiocinative and Inductive: Being a Connected ..., المجلد 2

John Stuart Mill - 1843 - عدد الصفحات: 654
...other the opposite angles are equal, is true of all such lines and angles, by whatever cause produced. That the squares of the periodic times of the planets are proportional to the cubes of their distances from the sun, is an uniformity derived from the laws of the causes which produce the...

Introductory Book of the Sciences

James Nicol - 1844 - عدد الصفحات: 152
...aphelion. The time a planet takes to move round its orbit is named its periodic time; and the third law is, that the squares of the periodic times of the planets are proportional to the cubes of their distances from the sun. Thus, Mars is about four times farther from the sun than Mercury, and...




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