Page:The works of Plato, A new and literal version, (vol 6) (Burges, 1854).djvu/46

34 portion through one to two, possessing a double by power. But that, which, as regards the solid and tangible, is again a double, proceeds from one to eight. But that of the double quantity to the middle, and perhaps, what is more than the less, and less than the greater; while the other by the same part surpasses, and is surpassed by the extremes. But in the middle of six to twelve, there is found the sesquialter and sesquitertian proportions. And in the middle of these, a power, turned to both, has distributed to men a use, where voice and measure are combined, for the sake of sports, rhythm, and harmony, after having been granted to the happy dancing of the Muses.

[13.] Let all these then be held to take place in this way, and let them exist. But as regards the finish to this, let us proceed to the divine generation and the most beautiful and divine nature of things visible, as far as a deity has granted to man to look upon them; which nature, no one, after having beheld, will boast of having received with facility without the particulars mentioned above. Besides this, in our several in-