The form of the column has its sole ground in the fact that it affords the simplest and most suitable support. In the twisted column inappropriateness appears as if with intentional perversity, and therefore shamelessness: hence good taste condemns it at the first glance. The four‐ cornered pillar, since the diagonal exceeds the sides, has unequal dimensions of thickness which have no end as their motive, but are occasioned by the accident of greater feasibleness; and just on this account it pleases us so very much less than the column. Even the hexagonal or octagonal pillar is more pleasing, because it approaches more nearly to the round column; for the form of the latter alone is exclusively determined by the end. It is, however, also so determined in all its other proportions, primarily in the relation of its thickness to its height, within the limits permitted by the difference of the three columnar orders. Therefore its diminution from the first third of its height upwards, and also a slight increase of its thickness just at this place (_entasis vitr._), depends upon the fact that the pressure of the burden is greatest there. It has hitherto been believed that this increase in thickness was peculiar to the Ionic and Corinthian columns alone, but recent measurements have shown it also in the Doric columns, even at Pæstum. Thus everything in the column, its thoroughly determined form, the proportion of its height to its thickness, of both to the intervals between the columns, and that of the whole series to the entablature and the burden resting upon it, is the exactly calculated result of the relation of the necessary support to the given burden. As the latter is uniformly distributed, so must also the support be; therefore groups of columns are tasteless. On the other hand, in the best Doric temples the corner column comes somewhat nearer to the next ones, because the meeting of the entablatures at the corner increases the burden; and in this the principle of architecture expresses itself distinctly, that the structural relations, _i.e._, the relations between support and burden, are the essential ones, to which the relations of symmetry, as subordinate, must at once give way. According to the weight of the whole burden generally will the Doric or the two lighter orders of columns be chosen, for the first, not only by the greater thickness, but also by the closer position of the columns, which is essential to it, is calculated for heavier burdens, to which end also the almost crude simplicity of its capital is suited. The capitals in general serve the end of showing visibly that the columns bear the entablature, and are not stuck in like pins; at the same time they increase by means of their abacus the bearing surface. Since, then, all the laws of columnar arrangement, and consequently also the form and proportion of the column, in all its parts and dimensions down to the