Action is the effect of the same conflicting force so far as it is expressed in the limbs and the position of the body.

A third force, which is often used unconsciously, necessarily grows out of these elements—the controlling or ruling element, or, as Vitruvius has it, ‘the principle of authority.’ This element points out the preponderance of certain forms as the visible representatives of the general principles which we have stated, bringing into the variety of details, harmony and unity. This controlling element stands to the surrounding and united parts in the same relation as the key-note to a harmonious melody. Without that key-note no harmony—without the controlling element no beauty, were possible.

Having proceeded step by step from the formation of matter in crystals to man, we may set down the following as the five principal elements necessary to beauty in art:—

1. Symmetry.
2. Eurythmy.
3. Proportion.
4. Direction or motion.
5. Expression.

α. Symmetry has already been amply treated.

β. Eurythmy is either stereometric or planimetric. It is stereometric in balls and in regular solid bodies, such as the tetrahedron, a figure of four equal triangular faces, or the polyhedron, a figure with many sides. These forms are symmetrical without any controlling element. Such an element shows itself first in the ellipsoid—distinct from the oval—in the prism, and the pyramid. Planimetric eurythmy preponderates in snow-crystals, flowers, plants, trees, and the lowest animals.

The controlling element shows itself in the grouping of the single parts round a common centre, which is often distinguished by a contrast in forms or colours. It is unconsciously expressed by a sign or mark.

Ornamentation takes its origin in the effort to express, to designate, or to mark out the controlling element. The ornamented object has only then a meaning, when it expresses visibly the hidden idea of the controlling element, say the idea of fastening or keeping together, as in clasps, brooches, buckles; or the idea of equilibrium, as in earrings. Such signs or marks were very early used, and are spread all over our globe; they developed into the rough tombs in Phrygia, Greece and Italy; took a higher form in Central America and Assyria; became crystallised in the Pyramids; and attained the highest perfection in the tombs of Mausolus, Augustus, and Hadrian. The mark or sign is also used in games, as on race-courses, in the stadium, the circus, or the amphitheatre. A more distinct expression is gained when the mark or sign, as divine statue, altar, &c., is surrounded by rhythmically-arranged circles or encompassing walls, as the visible expression of the union of the many, or variety, for one religious or ceremonial purpose. The mark or sign reflects, on the one hand, the idea of harmony, whilst, on the other, the rhythmically-arranged surroundings form an impressive total, heightening the force of the controlling element. This law explains the awe, veneration, mysterious feeling, and secret fear with which men at all times have looked upon the central mark or sign, whether in the simple stone-circles of Abury, Stonehenge, and Carnac, the rock-hewn temples of India, the temples of Egypt, Greece, and Rome, or the synagogues and churches of our own times.

Next to the controlling element, we must take into consideration the grouping of the whole object on a horizontal basis around a vertical axis. This axis becomes the seat of the linear, symmetrical, controlling element. It is especially marked by richly ornamented reliefs or by gaudier colours, so pronounced that the other parts of the ornamented object appear as mere accompaniments of the horizontal and vertical lines. Remarkable in their incongruity, but often unsurpassed in the application of this principle, are the tattooed heads of savages, in which the linear central line is ornamented symmetrically on both sides of the face—the prominent parts being marked by spirals to make them appear still more prominent.

γ. Proportion, as an element of art, cannot work by itself, but must be considered in relation to its parts and the controlling element. Proportion consists of a basis, a middle piece, and a dominant. To illustrate this, we have in plants and trees, the root (basis), the stem or trunk (middle piece), and the top, crown or flower (dominant).