[195] Op., t. i., p. 107. He interposed, but tentatively only, another similar body between Mercury and Venus.
[196] Allgemeine Naturgeschichte (ed. 1798), pp. 118, 119.
[197] Cosmologische Briefe, No. 1 (quoted by Von Zach, Monat. Corr., vol. iii., p. 592).
[198] Second ed., p. 7. See Bode, Von dem neuen Hauptplaneten, p. 43, note.
[199] The representative numbers are obtained by adding 1 to the following series (irregular, it will be observed, in its first member, which should be 1/2 instead of 0); 0, 3, 6, 12, 24, 48, etc. The formula is a purely empirical one, and is, moreover, completely at fault as regards the distance of Neptune.
[200] Monat. Corr., vol. iii., p. 596.
[201] Wolf, Geschichte der Astronomie, p. 648.
[202] Such reversals of direction in the apparent movements of the planets are a consequence of the earth's revolution in its orbit.
[203] Dissertatio Philosophica de Orbitis Planetarum, 1801. See Wolf, Gesch. d. Astr., p. 685.
[204] Observations on Uranus, as a supposed fixed star, went back to 1690.