§ IX. It is necessary to limit this observation to European architecture, because the Egyptian shaft is often untapered, like the Northern. It appears that the Central Southern, or Greek shaft, was tapered or curved on æsthetic rather than constructive principles; and the Egyptian which precedes, and the Northern which follows it, are both vertical, the one because the best form had not been discovered, the other because it could not be attained. Both are in a certain degree barbaric; and both possess in combination and in their ornaments a power altogether different from that of the Greek shaft, and at least as impressive if not as admirable.
§ X. We have hitherto spoken of shafts as if their number were fixed, and only their diameter variable according to the weight to be borne. But this supposition is evidently gratuitous; for the same weight may be carried either by many and slender, or by few and massy shafts. If the reader will look back to Fig. IX., he will find the number of shafts into which the wall was reduced to be dependent altogether upon the length of the spaces a, b, a, b, &c., a length which was arbitrarily fixed. We are at liberty to make these spaces of what length we choose, and, in so doing, to increase the number and diminish the diameter of the shafts, or vice versâ.
§ XI. Supposing the materials are in each case to be of the same kind, the choice is in great part at the architect’s discretion, only there is a limit on the one hand to the multiplication of the slender shaft, in the inconvenience of the narrowed interval, and on the other, to the enlargement of the massy shaft, in the loss of breadth to the building.38 That will be commonly the best proportion which is a natural mean between the two limits; leaning to the side of grace or of grandeur according to the expressional intention of the work. I say, commonly the best, because, in some cases, this expressional invention may prevail over all other considerations, and a column of unnecessary bulk or fantastic slightness be adopted in order to strike the spectator with awe or with surprise.39 The architect is, however, rarely in practice compelled to use one kind of material only; and his choice lies frequently between the employment of a larger number of solid and perfect small shafts, or a less number of pieced and cemented large ones. It is often possible to obtain from quarries near at hand, blocks which might be cut into shafts eight or twelve feet long and four or five feet round, when larger shafts can only be obtained in distant localities; and the question then is between the perfection of smaller features and the imperfection of larger. We shall find numberless instances in Italy in which the first choice has been boldly, and I think most wisely made; and magnificent buildings have been composed of systems of small but perfect shafts, multiplied and superimposed. So long as the idea of the symmetry of a perfect shaft remained in the builder’s mind, his choice could hardly be directed otherwise, and the adoption of the built and tower-like shaft appears to have been the result of a loss of this sense of symmetry consequent on the employment of intractable materials.
§ XII. But farther: we have up to this point spoken of shafts as always set in ranges, and at equal intervals from each other. But there is no necessity for this; and material differences may be made in their diameters if two or more be grouped so as to do together the work of one large one, and that within, or nearly within, the space which the larger one would have occupied.
§ XIII. Let A, B, C, Fig. XIV., be three surfaces, of which B and C contain equal areas, and each of them double that of A: then supposing them all loaded to the same height, B or C would receive twice as much weight as A; therefore, to carry B or C loaded, we should need a shaft of twice the strength needed to carry A. Let S be the shaft required to carry A, and S2 the shaft required to carry B or C; then S3 may be divided into two shafts, or S2 into four shafts, as at S3, all equal in area or solid contents;40 and the mass A might be carried safely by two of them, and the masses B and C, each by four of them.
Fig. XIV.
Now if we put the single shafts each under the centre of the mass they have to bear, as represented by the shaded circles at a, a2, a3, the masses A and C are both of them very ill supported, and even B insufficiently; but apply the four and the two shafts as at b, b2, b3, and they are supported satisfactorily. Let the weight on each of the masses be doubled, and the shafts doubled in area, then we shall have such arrangements as those at c, c2, c3; and if again the shafts and weight be doubled, we shall have d, d2, d3.
§ XIV. Now it will at once be observed that the arrangement of the shafts in the series of B and C is always exactly the same in their relations to each other; only the group of B is set evenly, and the group of C is set obliquely,—the one carrying a square, the other a cross.
Fig. XV.
You have in these two series the primal representations of shaft arrangement in the Southern and Northern schools; while the group b, of which b2 is the double, set evenly, and c2 the double, set obliquely, is common to both. The reader will be surprised to find how all the complex and varied forms of shaft arrangement will range themselves into one or other of these groups; and still more surprised to find the oblique or cross set system on the one hand, and the square set system on the other, severally distinctive of Southern and Northern work. The dome of St. Mark’s, and the crossing of the nave and transepts of Beauvais, are both carried by square piers; but the piers of St. Mark’s are set square to the walls of the church, and those of Beauvais obliquely to them: and this difference is even a more essential one than that between the smooth surface of the one and the reedy complication of the other. The two squares here in the margin (Fig. XV.) are exactly of the same size, but their expression is altogether different, and in that difference lies one of the most subtle distinctions between the Gothic and Greek spirit,—from the shaft, which bears the building, to the smallest decoration. The Greek square is by preference set evenly, the Gothic square obliquely; and that so constantly, that wherever we find the level or even square occurring as a prevailing form, either in plan or decoration, in early northern work, there we may at least suspect the presence of a southern or Greek influence; and, on the other hand, wherever the oblique square is prominent in the south, we may confidently look for farther evidence of the influence of the Gothic architects. The rule must not of course be pressed far when, in either school, there has been determined search for every possible variety of decorative figures; and accidental circumstances may reverse the usual system in special cases; but the evidence drawn from this character is collaterally of the highest value, and the tracing it out is a pursuit of singular interest. Thus, the Pisan Romanesque might in an instant be pronounced to have been formed under some measure of Lombardic influence, from the oblique squares set under its arches; and in it we have the spirit of northern Gothic affecting details of the southern;—obliquity of square, in magnificently shafted Romanesque. At Monza, on the other hand, the levelled square is the characteristic figure of the entire decoration of the façade of the Duomo, eminently giving it southern character; but the details are derived almost entirely from the northern Gothic. Here then we have southern spirit and northern detail. Of the cruciform outline of the load of the shaft, a still more positive test of northern work, we shall have more to say in the 28th Chapter; we must at present note certain farther changes in the form of the grouped shaft, which open the way to every branch of its endless combinations, southern or northern.
Fig. XVI.
§ XV. 1. If the group at d3, Fig. XIV., be taken from under its loading,