[Footnote 409: P. 203. 27.] [Footnote 410: _Op. Lat._ i. 3. p. 207. 5 (cf. p. 302, bk. v. ch. 2).] [Footnote 411: P. 208. 9.] [Footnote 412: P. 207.] [Footnote 413: _De Min._ bk. i. ch. 5.] [Footnote 414: Arist. _Phys. Z._ 1. 231, a 23.] [Footnote 415: _De Min._ p. 153. 22 ff.] [Footnote 416: P. 158.] [Footnote 417: _De Min._ P. 173. 9; cf. 173. 7, 180.] [Footnote 418: P. 160.] [Footnote 419: P. 161.] [Footnote 420: P. 162.] [Footnote 421: _De Min._ i. ch. 8.] [Footnote 422: Ch. 11. p. 176.] [Footnote 423: Ch. 12.] [Footnote 424: Ch. 2. p. 140.] [Footnote 425: _De Min._ i. ch. 14. p. 184. 23.] [Footnote 426: ii, ch. 8. p. 214.] [Footnote 427: iii. ch. 12. p. 267.] [Footnote 428: Lasswitz, p. 26, note, where it is said the eighth triangle and the sixth circle are equal.] [Footnote 429: _Op. Lat._ i. 3. p. 217. 9.] [Footnote 430: Pp. 219, 221.] [Footnote 431: _Op. Lat._ i. 3. p. 243 (bk. iii. ch. 3).] [Footnote 432: P. 245 (bk. iii. ch. 4.), cf. p. 323 (bk. v. c. 9), 324. (c. 10).] [Footnote 433: P. 306 (bk. v. ch. 5.).] [Footnote 434: P. 270. 14.] [Footnote 435: Cf. _Art. adv. Math._ ii. The figures there are slightly different, and named _Figurae Mentis_, _Intellectus_, _Amoris_.] [Footnote 436: Lag. 407. 25.] [Footnote 437: Lag. p. 407. 7.] [Footnote 438: P. 406. 29.] [Footnote 439: Lag. 427. 19.] [Footnote 440: The constellations as typifying vices were to be expelled from the heavens and replaced by the personified virtues.] [Footnote 441: Lag. p. 445.] [Footnote 442: Lag. p. 446. 1 ff., cf. 447. "_Questa fetida Sporcaria del mondo_," and 467.] [Footnote 443: P. 462. 30.] [Footnote 444: P. 468. 25.] [Footnote 445: Lag. p. 543. 35 ff., cf. 544. 20, 546. 16, and esp. 554. 13 ff. (_Chiron_ the Centaur), for other references to the Church and its beliefs. Bruno could not have written the last passage while retaining any shred of genuine belief in the divinity of Christ. v. also 534. 32.] [Footnote 446: _Cabala_, p. 565.] [Footnote 447: Cf. the poem in the _Cabala_, p. 564. 25, _O' Sant' Asinita_, and _Cena_, Lag. 147. 21 (the Ark of Noah), etc.] [Footnote 448: The lists given in the argument are not quite the same as those in the body of the work, and both differ to some extent from the list of vices which is put in the mouth of Jupiter at the beginning, p. 439.] [Footnote 449: From Lag. p. 439.] [Footnote 450: Cf. also p. 488. Another list of virtues is in the eulogium on Julius in the _Oratio Consolatoria_ (_Op. Lat._ i. 1. 47 ff.). There also the constellations typify different virtues.] [Footnote 451: In the _De Lamp. Comb._, are two lists of virtues and vices, after Lully; with each virtue are given the two vicious extremes, in Aristotelian fashion. (_Op. Lat._ ii. 2. 257).] [Footnote 452: Lag. 489. 18 (_Sub Lyra_). They are _Arithmetica_, _Geometria_, _Musica_, _Logica_, _Poesia_, _Astrologia_, _Physica_, _Metaphysica_, _Ethica_.] [Footnote 453: Lag. p. 461. 11 ff.]