by William Page, a distinguished artist. The scale for the head was discovered by the author.
The number twelve is therefore the basis of construction in both the body and the brain. These squares form a series of trinities. The face includes three angles, there are three above, three behind and three below. The forearm has three squares; the rest of the arm has three, ending in the pectoris muscle at the breast-bone. The lower leg has a trinity, and the upper leg another.
The law of the trinity is a universal law, expressing, as it does, what are basic properties of both matter and spirit. A trinity may have a pivot and two wings. In every mathematical problem or example two things are given to find a third. Three dimensions, length, breadth and thickness, include all others.
The harmonies of music are based upon purely mathematical relations. The sweet blending of voices in song and the noble symphony of instruments, are each under the strict physical laws of science. For in science we shall find graceful beauty and gentle sweetness no less than in the works of art.
The laws of music are exemplified in mental action, and these same laws of mental rhythm must govern the form, proportion and arrangement of parts in architecture. In general, any mental organ may exchange and cooperate with the third, the fifth or the eighth one, either directly above or below, or in front of itself. This responsive action corresponds to the chords in music. And music seems attractive and harmonious to us because its chords are like those which belong in our mental and physical structure.