CXVi NOTES. 



of the Pseudo-Demetrius Phalereus (perhaps Demetrius of Alexandria), an 

 epigram of Eusebius, and a gnostic manuscript at Leyden. See Hermapion, 

 1841, Pars i. p. 196214, and compare with it Lobeck, Aglaoph. T. ii. 

 p. 982. 



( 6M ) p. 816. On the gradual development of Kepler's musical ideas, see 

 Apelt's Commentary on the Harmonice Mundi, in his work entitled Johann 

 Keppler's Weltansicht, 1849, S. 76 116. (Compare also Delambre, Hist, de 

 1'Astr. mod. T. i. p. 852860.) 



( 61fl ) p. 816. Kosraos, Bd. ii. S. 853 ; Engl. ed p. 813. 



( 617 ) p. 817. Tycho Brahe had annihilated the crystal spheres to which 

 the planets were supposed to be attached. Kepler praises this enterprise, but 

 yet persists in representing the sphere of the fixed stars as a solid globular 

 shell of two German miles in thickness, on which shine twelve stars of the 

 first magnitude, all at an equal distance from the Earth, and having a parti- 

 cular relation to the angles of an icosaedron. The fixed stars " lumina sua ab 

 intus emittunt :" the planets were also supposed to be self-luminous until he 

 " learnt better from Galileo!" Although, like several of the ancients, and 

 like Giordano Bruno, he regarded all the fixed stars as suns similar to our 

 own, yet he was less favourable than I have stated in an earlier volume 

 (Kosmos, Bd. ii. S. 365 ; Eugl. ed. p. 824) to the opinion " which he had 

 pondered," that they are all surrounded by planets. Compare Apelt's work, 

 quoted above, S. 21 24. 



( 818 ) p. 817. Delambre, in the Hist, de 1'Astr. mod. T. i. p. 314, in his 

 astronomically but not astrologically complete extracts from Kepler's 

 Sammtlichen Wcrken, p. 314 615, first called attention to the planet con- 

 jectured by Kepler to exist between Mercury and Venus. "On n'a fait 

 aucune attention a cette supposition de Kepler, quand on a forme des 

 projets de d&ouvrir la planete qui (selon une autre de ses predictions) devait 

 circuler entre Mars et Jupiter." 



( 619 ) p. 817. The remarkable passage respecting the filling up of a gap or 

 hiatus between Mars and Jupiter, is found in Kepler's Prodromus Disserta- 

 tiouum cosmographicarum, contiuens Mysterium cosmographicum de admi- 

 rabili proportione orbium coelestium, 1596, p. 7: "Cumigitur hac non 

 succederet, alia via, mirum quam audaci, tentavi aditum. Inter Jovem et 

 Martem interposui novum planetam, itemque alium inter Vcnerem et Mer- 

 curium, quos duos forte ob exilitatem non vidcamus, iisque sua tempora 

 periodica ascripsi. Sic euim cxistimabam me aliquam eequalitatem propor- 

 tionum effccturum, quoc proportiones inter binos versus Solem ordine minue- 

 rentur, versus fixas augescereut : ut propior est Terra Veueri quantitate 



