This section is from the book "Cassell's Cyclopaedia Of Mechanics", by Paul N. Hasluck. Also available from Amazon: Cassell's Cyclopaedia Of Mechanics.
Gauged arches are usually measured at per foot superficial as "extra on facings only on the cost of the general brickwork." Measure the whole surface of the face and soffit; for the face the mean length is taken midway between the soffit and the top of the arch. Measure the cutting to facings, and, if less than 6 in. wide, at per foot run. Give the name and quality of the bricks, and whether straight, segmental, or semicircular; whether set in cement or putty, and how pointed. The ordinary facings should not be deducted. Centerings also must be charged. The cost will vary according to the price of labour and material in each locality. The example illustrated shows the method of taking out quantities as described above:

Measuring Gauged Arch.
ft. | in. | ft. | in. | ||||
3 | 11 | ||||||
1 | 1 | Super. | |||||
3 | 8 | 4 | 3 | Gauged cambered arch, in best red rubbers, and set in putty. | |||
4 1/2 | 1 | 4 | Add soffit. | ||||
Run. | ft. | in. | |||||
6 | 4 | 0 | 4 | 4|1/2in. circular and skew-back for fair cuttings to facings | Extrados | 4 | 2 |
Skewback | 1 | 1 | |||||
do. | 1 | 1 | |||||
6 | i | ||||||
Laxton's Price Book gives the following. " Gauged arches not extra only, the brickwork and facings being deducted in the measurements. Of the best washed malm stocks, or red bricks, camber, segment, or semicircular, gauged, rubbed, and set in putty, at per foot super.: labour only, 1s. 7d. labour and materials, 2s. 10d. With regard to rough-axed arches, measure the face and soffit, and describe as reduced brickwork; 'Extra only on lacings.'" The besl way,perhaps,is to number the arches, give length, allowing about 6in. longer than opening, width of soffit, and depth, and describe as extra labour cutting and waste to rough arches. Laxton also says: "Extra only on facings. Red or malms, common segmental arch axed soffits, and all labours at per foot super.: labour only, 5d.; Labour and materials, ltd. To find the value of extra only on facings, take the difference per thousand between the building bricks and the required facings, divide by ten, and the result gives the price in pence and fractional parts per foot super.
Thus, stocks Ins., and facings 80s., difference, 40s. divided by ten, gives 4d. per foot; or, stocks its., and facings 85s., difference 45s., gives 4jd., and so on."
 
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