Even the same wall-paper (if of strongly marked lines) if pasted on the sides of two rooms exactly similar in dimensions, but with the lines vertical in the one case, in the other horizontal, will alter the apparent dimensions of them by several feet. If a room is too high, it is easy to correct this by carrying a bold cornice to the height required, and stopping there the vertical lines of the wall, and above this coving the roof, or using some device which shall mark a distinction from the walls, and the defect may become a beauty. In like manner, if a room is too long for its other dimensions, this is easily remedied either by breaks in the walls where these can be obtained, or by screens of columns across its width, or by only breaking the height of the roof. Anything which will divide the length into compartments will effect this. The width, if in excess, is easily remedied by dividing it, as the Gothic architects did, into aisles. Thus a room 50 feet wide and 30 high, may easily be restored to proportion by cutting off 10 or 12 feet on each side, and lowering the roofs of the side compartments, to say 20 feet. If great stability is not required, this can be done without encumbering the floor with many points of support. The greater the number used the more easily the effect is obtained, but it can be done almost without them.
Externally it is easier to remedy defects of proportion than it is internally. It is easier than on the inside to increase the apparent height by strongly marked vertical lines, or to bring it down by the employment of a horizontal decoration.
No. 3.
If the length of a building is too great, this is easily remedied by projections, or by breaking up the length into square divisions. Thus, A A is a long building, but B B is a square one, or practically (owing to the perspective) less than a square in length, in any direction at right angles to the line of vision; or, in other words, to a spectator at A’ the building would look as if shorter in the direction of B B than in that of A A, owing to the largeness and importance of the part nearest the eye. If 100 feet in length by 50 feet high is a pleasing dimension for a certain design, and it is required that the building should be 500 feet long, it is only necessary to break it into five parts, and throw three back and two forward, or the contrary, and the proportion becomes as before.
The Egyptians hardly studied the science of proportion at all; they gained their effects by simpler and more obvious means. The Greeks were masters in this as in everything else, but they used the resources of the art with extreme sobriety—externally at least—dreading to disturb that simplicity which is so essential to sublimity in architecture. But internally, where sublimity was not attainable with the dimensions they employed, they divided the cells of their temples into three aisles, and the height into two, by placing two ranges of columns one above the other. By these means they were enabled to use such a number of small parts as to increase the apparent size most considerably, and at the same time to give greater apparent magnitude to the statue, which was the principal object for which the temple was erected.
The Romans do not seem to have troubled themselves with the science of proportion in the designs of their buildings, though nothing can well be more exquisite than the harmony that exists between the parts in their orders, and generally in their details. During the Middle Ages, however, we find, from first to last, the most earnest attention paid to it, and half the beauty of the buildings of that age is owing to the successful results to which the architects carried their experiments in balancing the parts of their structures the one against the other, so as to produce that harmony we so much admire in them.
No. 4.
The first great invention of the Gothic architects (though of Greek origin) was that of dividing the breadth of the building internally into three aisles, and making the central one higher and wider than those on each side. By this means height and length were obtained at the expense of width: this latter, however, is never a valuable property artistically, though it may be indispensable for the utilitarian exigencies of the building. They next sought to increase still further the height of the central aisle by dividing its sides into three equal portions which by contrast added very much to the effect: but the monotony of this arrangement was soon apparent: besides, it was perceived that the side aisles were so low as not to come into direct comparison with the central nave. To remedy this they gradually increased its dimensions, and at last hit on something very like the following proportions. They made the height of the side aisle half that of the central (the width being also in the same proportion); the remaining portions they divided into three, making the triforium one-third, the clerestory two-thirds of the whole. Thus the three divisions are in the proportion of 1, 2, and 3, each giving value to the other, and the whole adding very considerably to all the apparent dimensions of the interior. It would have been easy to have carried the system further and, by increasing the number of the pillars longitudinally and the number of divisions vertically, to have added considerably to even this appearance of size; but it would then have been at the expense of simplicity and grandeur: and though the building might have looked larger, the beauty of the design would have been destroyed.