Page 378 of 1391

et Osir.), Proclus (super prima Eucl.), and Quintilian (de

Musica) to be contained in this passage, so that the tradition of

the school seems to point in the same direction: (8) that the

Pythagorean triangle is called also the figure of marriage

(Greek).

But though agreeing with Dr. Donaldson thus far, I see no reason

for supposing, as he does, that the first or perfect number is

the world, the human or imperfect number the state; nor has he

given any proof that the second harmony is a cube. Nor do I think

that (Greek) can mean 'two incommensurables,' which he

arbitrarily assumes to be 2 and 3, but rather, as the preceding

clause implies, (Greek), i.e. two square numbers based upon

irrational diameters of a figure the side of which is 5 = 50 x 2.