Book, Paragraph

 1 VII, 8|       apart from the individual spheres or a house apart from the
 2 XII, 8| involves, in either case, three spheres, of which the first is the
 3 XII, 8|    involves, in each case, four spheres, and of these also the first
 4 XII, 8|       which moves all the other spheres, and that which is placed
 5 XII, 8|        made the position of the spheres the same as Eudoxus did,
 6 XII, 8|     Saturn, he thought two more spheres should be added to the sun
 7 XII, 8|        is necessary, if all the spheres combined are to explain
 8 XII, 8|   planets there should be other spheres (one fewer than those hitherto
 9 XII, 8|       planets. Since, then, the spheres involved in the movement
10 XII, 8|         not be counteracted the spheres which counteract those of
11 XII, 8|       be six in number, and the spheres which counteract those of
12 XII, 8| therefore the number of all the spheres—both those which move the
13 XII, 8|     mentioned, the whole set of spheres will be forty-seven in number.~
14 XII, 8|      taken as the number of the spheres, so that the unmovable substances