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The architecture of Marcus Vitruvius Pollio : in ten books / translated from the Latin by Joseph Gwilt, F.S.A., F.R.A.S.
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taken at the hypotrachelium, is to be so ordered, that forcolumns of fifteen feet and under, it should be one-sixthof the lower diameter. From fifteen to twenty feet inheight, the lower diameter is to be divided into six partsand a half; and five parts and a half are to be assignedfor the upper thickness of the column. When columnsare from twenty to thirty feet high, the lower diameterof the shaft must be divided into seven parts, six of whichare given to the upper diameter. From thirty to forty feethigh, the lower diameter is divided into seven parts anda half, and six and a half given to the top. From fortyto fifty feet, the lower diameter of the shaft is to be di-vided into eight parts, seven of which must be given tothe thickness under the hypotrachelium. If the propor-tion for greater heights be required, the thickness attop must be found after the preceding method; alwaysremembering, that as the upper parts of columns are moredistant from the eye, they deceive it when viewed frombelow, and that we must, therefore, actually add whatthey apparently lose. The eye is constantly seekingafter beauty ; and if we do not endeavour to gratify it byproper proportions and an increase of size, where neces-sary, and thus remedy the defect of vision, a work willalways be clumsy and disagreeable. Of the swellingwhich is made in the middle of columns, which theGreeks call erracrts, so that it may be pleasing and ap-propriate, I shall speak at the end of the book.