 | Titbits - 1884 - عدد الصفحات: 376
...proportional to the time occupied in its description. And 3. That the squares of the times of the revolutions of the planets are proportional to the cubes of their mean distances from the sun. This latter was discovered by Kepler in 1618. 307. — What does "franking " a letter mean ? "Franking"... | |
 | Robert Sullivan - 1884 - عدد الصفحات: 510
...diameter of the sun from each other, they are about 5 degrees apart. The squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. Hence, as the distance of the earth from the sun has been found by the transits of Venus to be about... | |
 | Charles Joyce White - 1884 - عدد الصفحات: 298
...obtained by Kepler's Third Law (Art. 117), that "the squares of the periodic times of any two planete are proportional to the cubes of their mean distances from the sun." 93. Transit of Venus. — In Fig. 36, let S denote the centre of the sun, and CADN its disc : let V... | |
 | Joel Dorman Steele - 1884 - عدد الصفحات: 360
...reached (1618) the third law — The squares of the times of revolution of the planets about the sun are proportional to the cubes of their mean distances from the sun.* In rapture over the discovery of these three laws, so marked by that Divine simplicity which pervades... | |
 | Charles Force Deems, John Bancroft Devins - 1886 - عدد الصفحات: 508
...the planet and the sun) describes equal areas in equal times; and (3) the squares of periodic times of the planets are proportional to the cubes of their mean distances from the sun. AN INSTRUCTIVE STORY. — A man came to a dervish and said : " I will lay before you three religious... | |
 | Thomas Hunter - 1884 - عدد الصفحات: 670
...equal spaces in equal times. (3) The squares of the times of revolution of the planets about the Sun are proportional to the cubes of their mean distances from the sun (1571-1630). 4. He discovered the law of the pendulum and of falling bodies, and constructed a telescope... | |
 | Charles Augustus Young - 1888 - عدد الصفحات: 638
...equal times. KEPLER'S LAWS. 253 III. The "Harmonic law," so-called. The squares of the periods itf the planets are proportional to the cubes of their mean distances from the sun; ie, <,* : tf=a*: a/. 413. To make sure that the student apprehends the meaning and scope of this third... | |
 | Charles Augustus Young - 1889 - عدد الصفحات: 518
...its foci. II. The radius vector of each planet describes equal areas in equal times. III. The squares of the periods of the planets, are proportional to the cubes of their mean distances from the sun; ie, ti :t 3 *:: a* : a/. This is the so-called " Harmonic law." 252. To make sure that the student... | |
 | Charles Augustus Young - 1898 - عدد الصفحات: 396
...vector describes equal areas in equal times. (See Art. 121, Fig. 13, for illustration.) III. The squares of the periods of the planets are proportional to the cubes of their mean distances from the sun. This is known as the Harmonic Law. Stated as a proportion it reads : PI : P? : : Af : A}, or in words... | |
 | Charles Augustus Young - 1891 - عدد الصفحات: 422
...vector describes equal areas in equal times. (See Art. 121, Fig. 13, for illustration.) IIL The squares of the periods of the planets are proportional to the cubes of their mean distances from the sun. This is known as the Harmonic Law. Stated as a proportion it reads : Pf : P,2 : : A? : A£, or in words... | |
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The squares of the periods of the planets are proportional to the cubes of their mean distances from the sun ; that is, ti2 : k2 ,• ,• ai3 ,• (h3This is the so-called harmonic law. 
