Dialogue

 1 Intro|          briefly commented upon: (8) lastly, we may examine
 2 Intro|          ratios of 1, 2, 3, 4, 9, 8, 27, and proceeded to fill
 3 Intro|       over 1, 4/3, 3/2, — over 2, 8/3, 3, — over 4, 16/3, 6, —
 4 Intro|           over 4, 16/3, 6, — over 8: — over 1, 3/2, 2, — over
 5 Intro|    fourths, 4:3, and of ninths, 9:8. And next he filled up the
 6 Intro|           in proportions of 1:2:4:8 and 1:3:9:27, or compounds
 7 Intro|           the properties of 1:2:4:8, or 1:3:9:27, or of 3, 4,
 8 Intro|         of numbers 1, 2, 3, 4, 9, 8, 27, composed of the two
 9 Intro| Pythagorean progressions 1, 2, 4, 8 and 1, 3, 9, 27, of which
10 Intro|       point, 2 and 3 lines, 4 and 8, 9 and 27 the squares and
11 Intro|           a regular pyramid (20 = 8 x 2 + 4); and therefore,
12 Intro|        the sides of two pyramids (8 = 4 x 2), a particle of
13 Intro|          Venus 3, Mercury 4, Mars 8, Jupiter 9, Saturn 27. This
14 Intro|          a separate mass.~Section 8.~We have now to consider
15 Intro|     origin in number and figure; (8) the annihilation of matter
16 Timae|        was eight times the first (8), and a seventh part which
17 Timae|  intervals (i.e. between 1, 2, 4, 8) and the triple (i.e. between
18 Timae|       over 1, 4/3, 3/2, — over 2, 8/3, 3, — over 4, 16/3, 6, —
19 Timae|           over 4, 16/3, 6, — over 8: and — over 1, 3/2, 2, —
20 Timae|           3/2 and of 4/3 and of 9/8, made by the connecting
21 Timae|          3 with the interval of 9/8, leaving a fraction over;
22 Timae|          64:4/3::243/128:2::81/32:8/3::243/64:4::81/16:16/3::
23 Timae|          64:4::81/16:16/3::242/32:8.).~And thus the whole mixture
24 Timae|  intervals (i.e. between 1, 2, 4, 8), and the three triple intervals (
25 Timae|         of 3:2, and 4:3, and of 9:8—these, although they cannot