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ts point cut off); _f_ part of a four-sided pyramid. Then, assuming the abacus to be square, _d_ will already fit the shaft, but has to be chiselled to fit the abacus; _f_ will already fit the abacus, but has to be chiselled to fit the shaft. From the broad end of _d_ chop or chisel off, in four vertical planes, as much as will leave its head an exact square. The vertical cuttings will form curves on the sides of the cone (curves of a curious kind, which the reader need not be troubled to examine), and we shall have the form at _e_, which is the root of the greater number of Norman capitals. From _f_ cut off the angles, beginning at the corners of the square and widening the truncation downwards, so as to give the form at _g_, where the base of the bell is an octagon, and its top remains a square. A very slight rounding away of the angles of the octagon at the base of _g_ will enable it to fit the circular shaft closely enough for all practical purposes, and this form, at _g_, is the root of nearly all Lombardic capitals. If, instead of a square, the head of the bell were hexagonal or octagonal, the operation of cutting would be the same on each angle; but there would be produced, of course, six or eight curves on the sides of _e_, and twelve or sixteen sides to the base of _g_. [Illustration: Fig. XXI.] Sec. VIII. The truncations in _e_ and _g_ may of course be executed on concave or convex forms of _d_ and _f_; but _e_ is usually worked on a straight-sided bell, and the truncation of _g_ often becomes concave while the bell remains straight; for this simple reason,--that the sharp points at the angles of _g_, being somewhat difficult to cut, and easily broken off, are usually avoided by beginning the truncation a little way down the side of the bell, and then recovering the lost ground by a deeper cut inwards, as here, Fig. XXI. This is the actual form of the capitals of the balustrades of St. Mark's: it is the root of all the Byzantine Arab capitals, and of all the most beautiful capitals in the world, whose function is to express lightness. Sec. IX. We have hitherto proceeded entirely on the assumption that the form of cornice which was gathered together to produce the capital was the root of cornices, _a_ of Fig. V. But this, it will be remembered, was said in Sec. VI. of Chap. VI. to be especially characteristic of southern work, and that in northern and wet climates it took the form of a dripstone.
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