...the same position the first or outermost sphere of the star which in each case is situated below 1 the star in question ; for only thus can all the forces...system of concentric spheres encircling the earth. . 1074* 1 3 Sosigenes' conjecture invia appears to be necessary. so that both the immovable and the...

...the number of all the spheres—those which move the planets and those which counteract these—will be fifty-five. And if one were not to add to the moon...we mentioned, all the spheres will be forty-nine in number. 2 Let this then be taken as the number of the spheres, 1 ie inwards from, the universe being...

...those of the first or outermost two planets will be six in number, and the spheres which counteract those of the next four planets will be sixteen, and...we mentioned, all the spheres will be forty-nine in number. Let this then be taken as the number of the spheres, so that both the unmovable and the perceptible...

...counteract those of the next four planets will be sixteen: therefore, the number of all the spheres - both those which move the planets and those which counteract these - will be fifty-rive ... The Figures 23 and 24 should make this passage crystalline-clear. Spheres A, B, C, and...

...planets will be 6, and those of the remaining four will be 16; and the total number of spheres, both those which move the planets and those which counteract these, will be 55. If we do not invest the moon and the sun with the additional motions which we have mentioned, there...

...the number of all the spheres—those which move the planets and those which counteract these—will be fifty-five. And if one were not to add to the moon...we mentioned, all the spheres will be forty-nine in number. Let this then be taken as the number of the spheres, so that the unmovable substances and principles...