Dialogue

 1 Intro|         the ratios of 1, 2, 3, 4, 9, 8, 27, and proceeded to
 2 Intro|         over 1, 3/2, 2, — over 3, 9/2, 6, — over 9, 27/2, 18, —
 3 Intro|            over 3, 9/2, 6, — over 9, 27/2, 18, — over 27;~in
 4 Intro|      fourths, 4:3, and of ninths, 9:8. And next he filled up
 5 Intro|    proportions of 1:2:4:8 and 1:3:9:27, or compounds of them,
 6 Intro|     properties of 1:2:4:8, or 1:3:9:27, or of 3, 4, 5, they
 7 Intro|     series of numbers 1, 2, 3, 4, 9, 8, 27, composed of the
 8 Intro| progressions 1, 2, 4, 8 and 1, 3, 9, 27, of which the number
 9 Intro|           2 and 3 lines, 4 and 8, 9 and 27 the squares and cubes
10 Intro|           squared, 3 squared = 4, 9), have always a single mean
11 Intro|          proportional (e.g. 4 and 9 have the single mean 6),
12 Intro|        Mercury 4, Mars 8, Jupiter 9, Saturn 27. This series
13 Timae|        was three times the third (9), and a sixth part which
14 Timae|        triple (i.e. between 1, 3, 9, 27) cutting off yet other
15 Timae|         over 1, 3/2, 2, — over 3, 9/2, 6, — over 9, 27/2, 18, —
16 Timae|            over 3, 9/2, 6, — over 9, 27/2, 18, — over 27.).~
17 Timae|          of 3/2 and of 4/3 and of 9/8, made by the connecting
18 Timae|          4/3 with the interval of 9/8, leaving a fraction over;
19 Timae|     intervals (i.e. between 1, 3, 9, 27), together with the
20 Timae|           of 3:2, and 4:3, and of 9:8—these, although they cannot