. An encyclopaedia of architecture, historical, theoretical, & practical. New ed., rev., portions rewritten, and with additions by Wyatt Papworth. o thatthey may continue square in a vertical line CC. whose lengthis equal to the developed length of theline of dome ef, or in other words,whose length is equal to one quarter ofthe length of a great circle of the sphere,to the right and left of C set out at gand (f the half width of the caisson ob-tained from tlie plan, and make /ig, kgerjual to one third of the caisson forthe width of the ribs on each lines to the vertex
. An encyclopaedia of architecture, historical, theoretical, & practical. New ed., rev., portions rewritten, and with additions by Wyatt Papworth. o thatthey may continue square in a vertical line CC. whose lengthis equal to the developed length of theline of dome ef, or in other words,whose length is equal to one quarter ofthe length of a great circle of the sphere,to the right and left of C set out at gand (f the half width of the caisson ob-tained from tlie plan, and make /ig, kgerjual to one third of the caisson forthe width of the ribs on each lines to the vertex of tlie de-velopment from hh and gi). A diagonnlhi being then drawn, the horizontal lineik will determine the lower edge of fenext caisson upwards. Proceed in thisway for tlie next from I and so heights of the caissons thus ob-tained, being transferred to the sectionon I he quadrant ef, will give the ])ro-portionate diminution thereon of thecaissons as they rise. They are discon-tinued, and the dome is left plain, whenthey so small as to lose theireffect from below, and indeed theycould not beyond a certain limit It <J C (] li 20C)2d. V. Of Gothic Vaulting. — Professor Willis, in his valuable essay On theFaults of the Middle Aues, printed in the Transactions of the Institute of BritishArchitects, 1842, states that every rib should spring as a separate and independent arch,and that the elliptic curves produced by the method of obtaining the form by ordinatesfrom those of the transverse ribs, are totally at variance with the characteristic formsof the Gothic style. De Lorme first taught this method, and others followed him, but itwas never intended by them to he applied to Gothic rib-vaulting. This author shows(eh. viii.) that every rii) is perfectly independent of the other in its curvature ; eacli rib consistsof a single arc of a circle whose centre is vpon tlie impost lerel, nnd they cannot be thereforeconnected by projections. They all form p
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