245 19 fall on the projecting portions alone. Hence therefore the constant law; that in proportion to the increased scale of the capitals the excess of c d above a a must be less, Hence, supposing at present for convenience sake that the slope of the lower headstone, and the depth of abacus are constant, a c d d fig 1 is the proportion for a large building, a c 2 d 3 a, for a middle sized building, a c3, d 3 a for a small building; while at 2 and 3 the same arrangement is shown supposing depth of Note in fig 3 let the beight abacus always equal to the depth of bell: It is observ- of the entire capital a be ½ diameter of shaft in b o able that while the flat capital a would be proportions to it in c double of it, and always subdivided into ½ p by in a small building, and the tallcapital c preposterous abacus. in a large; the middle capital 1 is perfectly allo able on the smallest scale, while raised on tall shafts in groups, it may legitimately become a member of a large composition. Hitherto we have supposed that the slope of the line b a fig 1 p 16 was constant. But evidently the capital is certain fair, strong at the extremities in proportion to the smallness of the L ba ba; and the admissible largeness of this angle depends on the di ection of the pressures at the extremities; and therefore altogether on the characters of the superimcumbent architecture: when any lines of resistance fall in a direction approaching to the vertical, on the
[Version 0.05: May 2008]