Publisher's Synopsis
Este libro historico puede tener numerosos errores tipograficos y texto faltante. Los compradores pueden descargar una copia gratuita escaneada del libro original (sin errores tipograficos) desde la editorial. No indexado. No se muestra. 1868 edition. Extracto: ... according to Titius, the distance from the Sun to Saturn, then the outermost planet, is taken as =100, the individual distances should be, Mercury, Venus, Earth, Mars, Small planets, Jupiter, '4 7 10 16 28 52 Totf Tstt Tot unr Iott Tit according to the so-called progression: 4, 4+3, 4+6, 4+12, 4+24, 4+48; consequently, when the distance of Saturn from the Sun is taken as 789-2 million geographical miles, those of the other planets, expressed in the same measure, are: t Wurm, in Bode's Astron. Jahrbnch for the year 1790, p. 168; and Bode, Von dem mum zmischen Mars und Jupiter entdeckten achtcn Hauptplancten des Sannensystems, 1802, p. 45. With the numerical correction of Wurm, the series, according to the distances from the Sun, is: In order that the degree of accuracy of these results may be tested, the actual mean distances of the plauets are given in the next table, as thev are acknowledged at the present time with the addition of the the discovery of Pallas by Olbers, aptly criticised the socalled law of distances in a letter to Zach (October, 1802). " The statement of Titius," says he, " contrary to the nature of all truths which merit the name of laws, agrees only approximatively with observed facts in the case of most planets, and, what does not appear to have been once observed, not at all in the case of Mercury. It is evident that the series 4, 4 + 3, 4 + 6, 4+12, 4+48, 4+96, 4+192, with which the distances should correspond, is not a continu ous series at all. The member which precedes 4+3 should not be 4; t. e., 4+0, but 4+11. Therefore, between 4 and 4+3, there should be an infinite number; or, as Wurm expresses it, for M=1, there is obtained from 4+2."3, not 4, but 5 . Otherwise, ..."
