On the Construction of the Vaults of the Middle Ages

Cover On the Construction of the Vaults of the Middle Ages
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The joints at the lower surface must next be drawn upon the plan, as shown by the dotted lines, due regard being had to the ornamental details which are to be subsequently added. These joints are either radial or circular, from the nature of fan vaulting. The radial joints which converge to the centre a are all in vertical planes, and therefore their places upon the upper plan or surface of operation will be vertically above and coincident with their places upon the lower surface, as at a 6 and
... c d. But the circular joints are arch beds,* and their places upon the upper surface may be obtained from those of the lower surface by upwards and downwards projection as follows.
The circular joints intersect the line a b at the points n, q, s. Project these upwards to meet the curve o d at n, q, s. Draw f m x concentric to the curve, and at a distance from it equal to the necessary thickness of the rib on.
From the centre of curvature of c d draw the arch joints n m, q p, s r, intersecting their outer curve at m, p, and r ; and through these points draw vertical lines m t, p v, r w, also projecting the same points downwards to the plan at m, p, and r.


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