The complete triumph of the vertical tendency, foreshadowed in the Roman, was proclaimed in Gothic architecture in the use of the pointed arch. For in the round arch the vertical has not conquered after all; the horizontal is still active there, even to the apex of the arch, where the tangential line is parallel to the earth, the line of weight. But in the pointed style the victory of the vertical is clearly decisive,—the upward and inward forces, by elongating and narrowing the curve of the arch to a point, have dominated the downward and outward. The great height of the piers, the gabled roofs, the ribs of the vaults the pointed form of the windows, the towers, spires, and pinnacles,—all proclaim it. Yet this victory does not occur without opposition; for the higher the vaulting, the greater the weight to be carried; the greater, therefore, the outward thrust, which had to find its expression and its stay in the buttress. But even the buttress, although it bears witness to the outward and horizontal force of weight, was nevertheless so fashioned with its gable and pinnacle, or its own arched form, as to aid the upward movement. The thinness of walls and partitions, and the piercing of these with arches and windows, by lightening the force of weight, also contributed to increase the vertical movement. At sight of a true Gothic cathedral, we feel ourselves fairly lifted off the ground and rushed upward.

In thinking of the beauty of architecture, we are all too apt to consider the exterior exclusively, forgetting that the inside of a building, where we live, is even more important practically, and is capable of at least as great an aesthetic effect.

The characteristic aesthetic effect of the interior is a function of the inclosed space, the volume, not of the inclosing walls taken singly. The walls are only the limits of this space, they are not the space itself. Of course, the walls within have their own beauty, of surface and pervading energy, but this does not differ markedly from that of the walls seen from the outside, and what we have established for the one holds for the other. But the beauty of the inclosed space is something entirely new.

In itself, however, mere volume of space is no more aesthetic than mere bounding line or surface; in order to become beautiful, it must become alive. But how can space—the most abstract thing in the world—become alive? By having the activities which it incloses felt into it. Just as our bodies are felt to be alive because our activities express themselves there, so our rooms, because we live and move within them. As we enter a cathedral and look down the long aisle, the movement of our eyes inevitably suggests the movement of our bodies; or, as we look up and our eyes follow the ribs of the vaulting, it is as if we ourselves were borne aloft; in the imagination we move through the open spaces; and since we do not actually move, we locate our impulses to movement, not in our bodies, but in the space through which we take our imagined flight. Every object suggests movement to it, and we fill the intervening space with this imagined movement, provided only we stay our activities and give time for the imagination to work its will. Thus all space may become alive with the possibilities of movement which it offers.

The aesthetic effects of volume vary chiefly according to size and shape. In order to be appreciated, these effects must in general be somewhat striking; otherwise they pass unnoticed, and we simply take the interiors of our buildings as matters of course.

It is a curious fact that an impression of vastness can be secured by inclosing a relatively small space. A square, like the Place de la Concorde, or even the inside of a cathedral, produces a feeling of size almost, if not quite, as great as an open prairie or sea. The reason, I suppose, is that an inclosed space offers definite points as stimuli and goals for suggested movements. As we imaginatively reach out and touch these points, we seem to encompass their distance; and the volume of our own bodies seems to be magnified accordingly. The boundaries of the space become a second and greater integument. This is of decisive importance; for the aesthetic appreciation of size is relative to an appreciation of the size of our own bodies; in nature itself there is nothing either large or small. Along with the sense of vastness goes a sense of freedom; the one is the aesthetic experience resulting from the imaginative reaching of the goal of a movement, the other is the feeling of the imagined movement itself.

When, on the other hand, an inclosure is small, as in the case of a cell, and especially when the ceiling or vault is low, as in a crypt, it feels cabined and confined, because our own possibilities of movement are restricted. In order to avoid this feeling, if a space is limited in one direction, it must be free in another; if narrow, it must be long; if small in plan, it must be high, as in a tower.

The form of an inclosed space is also expressive. There are two chief types, the longitudinal and the radial; but since these may exist either in plan or in elevation, four possibilities result: the longitudinal-horizontal, as in an aisle; the longitudinal-vertical, as in a tower; the radial-horizontal, illustrated by every equilateral plan—triangle, square, regular polygon, and above all, the most perfect form of this type, the circle; and finally, the radial-vertical, of which domed spaces, like the Pantheon or St. Paul's, are examples. The terms used to designate them, together with the examples, afford a good idea of what these space forms are, making further description unnecessary. It is interesting to observe how different the expression of the square and the triangle is when they determine the plan of an inclosed space from what it is when they are the shapes of walls. [Footnote: Compare Fritz Hoeber: Systematik der Architekturproportionen, II, B, a. ] In the case of the latter, according to the analysis which we have given of them, the figures represent an interplay of antagonistic horizontal and vertical forces, about an axis drawn perpendicular to the midpoint of the base line; while as plans they express forces homogeneous in kind radiating from their centers. The feeling of longitudinal forms is one of continued movement, forward or upward as the case may be; when the distance is very great, the feeling is of infinity, either of vista, as in an aisle, or of height, as in a tower, for even when the point at the end is clearly seen and known, we continue it in the imagination. The radial forms, on the other hand, even when the axes are very long, express completeness and security, for no matter how far we go in any one direction, we have to proceed along a line which brings us back to our starting point; in following to the top the movement of the curved line of a dome or an apse, the continuation of the same line carries us down on the other side to a point corresponding to the one from which we set out; if we wander, we return home.

With reference to the division of interiors into parts, the same two types are exemplified which we found in studying the visual and the dynamic aspects of buildings. Either the parts of the interior space are clearly marked off from each other, and the perception of the whole which they constitute is reached by a process of summation; or else, to one standing within, the space is first perceived as a whole, and its parts, lacking clear definition, are perceived subsequently. In the former type, the parts are of pronounced individuality, and the whole is their free and joint work; in the latter, the parts are merged, and tend to be lost in the whole. These two possibilities exist whether the space be of radial or longitudinal form. In general, the classical styles lend themselves to the coordinate type of division of the interior, while the later styles favor the subordination of the parts to the whole.

The other factors in the beauty of architecture, besides the expression of the forces resident in its forms, can receive only scant notice from us. Among these is light—its admission, exclusion, and diffusion. A house with ample windows flooded with sunshine shares the feeling of an open day; a cathedral, dimly lighted, stimulates a mood of brooding mystery and meditation, like some dark forest. Another factor is color. Color plays a double part in architecture: first, to enliven the neutral tones of certain materials; and second, to impart specific moods. It was no barbaric taste, but a keen feeling for life and warmth that induced the Greeks to paint their temples; and without their rose windows, Gothic cathedrals are like faces from which the glow of life is departing. The different colors have the same feelings in architecture that they have in painting. The reds and purples of ecclesiastical stained glass stimulate the passion of adoration, the blues deepen it, and the yellows seem to offer a glimpse of heavenly bliss. Sound, its presence or its absence, is another factor in architectural expression: the quiet of the church in contrast with the noise of the busy street outside, the peal of the organ, or the chorus of young voices. Although architecture is a spatial art and music a temporal art, they nevertheless go well together because the emotions aroused by both are vague and voluminous, and the sounds, reverberating from the walls and filling the inclosed spaces, seem to fuse with them. Ornamental carving performs a diversifying and enlivening function similar to that of color. So long as its lines follow those of the architectural forms, it may well be rich and elaborate. It is fitting, moreover, that buildings designed to be houses of the gods should contain their images, and that the same spirit that expresses itself in playful lines should become embodied in griffin and gargoyle. Finally, erected in the open, with no shelter or enframement, a building is, in large measure, a part of nature and possesses something of the beauty of nature. Rooted to one place like a tree, it shares the beauty of its site, and responds to the ever varying effects of light and shadow, rain and mist and snow.