Pain, William (1730?-1790?) / The practical house carpenter, or, Youth's instructor containing a great variety of useful designs in carpentry and architecture; the five orders laid down by an entire new scale.
To Find the Length and Backing of Hips, Square, or Bevel. Curb Roofs, Sections of Floors, Trussing Griders, Roofs in Ledgement., pp. Plate 7-To face Plate XV.
Page Plate 7
Plate 7 Fig. A shews how to find the length and backing of any hip square or bevel, a, b the pitch or height of the roof is 1/3 a, d, a Square pitch the height equal to half the width a, c, amean between b, and d, the length of the hips are given to the pitch a, c, and backing of ditto the length of the hip e, h, is equal to f, c, and the length of the hip I, k is equal to c, g, to find the backing of the hips, draw the lines l, p, m, and then n, p, o at right angles with a, I, and a, e, then set the compasses at ,p, and draw a circle touching the hip line at r, then from point s draw the lines s, m, s, l, and s, n, s, o which gives the backing of the hip. Fig. B gives the miter for the angle stiles of a pitch sky-light and likewise the bevel of the level bar or pnrline to the hip in roofs, scc.
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