PAINTERS alfo measure by the flat yard, but are not paid for work and half work: as they charge according to the value of their colours. GLAZIERS work is measured by the flat foot, and they ought to take their dimenfions to an eight of an inch, and divide the inch into 12 parts. N. B. They measure windows with arches, round, and eliptical windows as if full fquare, alledging walle in glafs and time in fetting up equivalent to the va cancy. S 3 admi Admit that in a certain front are two rows of windows, 20 in each row, the height of the lower row 9 feet 10 inches, height of the higher 1 foot lefs, and their breadths half their height; required their total contents? PLAISTERERS work as ceiling and rendering are measured by the flat yard of nine feet. MASONS work in fome places is meafured by the flat yard, in others by the folid foot and in others by the rood of 21 by 3 or 63 feet. SAWYERS work is measured by the hundred (of 120 feet to fuch hundred.) RULE. Measure one board of any ftock as in board measure, and multiply its content in feet by the number of cuts in fuch stock (which is always one lefs than the number of boards in that stock) then divide the product by 120, and the quotient is the fawyers hundreds and the remainder is odd feet. Admit a ftock of 27 boards, each 21 feet 9 inches long, and 15 inches and a half broad, query the fawyers hundreds in that stock, and the fawyers bilt at 2s. 6d. per hundred ? = Length 21f. 91. 21.75f; breadth 15.-15.5i Then 21.75 X 15.5 =28.093 the area of one board. 12 And 28.093 X 27-) 120 per =6 hund. 10f. at 2s. 6d. hund. come to 155. 2d. — the anfwer. There QUESTIONS in MENSURAT I O N. There is a fquare of 2500 yards in area, query each fide, and the breadth of a gnomon or walk along one fide and one end, that may take up just half the fquare? Ift. ✔2500 12500 zd. v 2 breadth of the walk. 50 yards each fide. 35.35 and 50-35.35 = 14.65 2d. Admit a parallelogram 64 yards by 32, query the diagonal of a fquare 5 times as much in area? 64 X 32X5X2 = 143.1 anf. 3d. If the area of a parallelogram be 2048 yards, and its breadth 40 yards, query its length? 2048 4th. If the fide of an equilateral triangle be 48 yards, query its area, and the area of its leaft circumfcribed circle? 5th. If the greater diagonal of a rhombus be 100, query its area? As √.5x.5 = .866 : 50 :: 1 : 57-73 each fide. And 57.73 X 50 2886.5 the area? If the three fides of a plain triangle be 24 16 and 12 perches, query its area? 24 +16+12=26; 26—24 — 2, 26—16 — 10› 2 26—12 = 14 = And 26 × 14 × 10X 285.32 perches the area Again as 24 16+12: 16-12: 4.6 the diffe rence of the fegments of the base then 12-2.8 9.6 then 12 X 12-9.6 × 9.6 —7.11 the perpendicular in the triangle on the longeft fide; whence 12X7.1185.32 the area as above. 7th. Admit a garden in form of trapezia, its four fences are 150, 160, 200, and 250 yards refpectively, and its content the greateft poffible; now it may be bought for 201. an acre, or for 130 guineas, query which is most in favour of the purchafer, and how much? 150+160 + 200 + 250 2 380, 380-250 130, 380-230 180 380-160220, and 380-150 =230. Then ✓130 X 180 X 220X230=34409.88 yds. 7.10946 acres the content. 136 But 130 guineas are equal to Whence the whole at 130 guinea is 5 13 in favour of the purchaser. 9 8th. Required the difference between the area of a circle whofe radius is 50 yards, and its greatest infcribed fquare? 50X 50 X 2 = 5000 the area of the greatest inscribed fquare, then 100 X 100 X .7854: 7845 the area of the circle, and 7854-5000 2854 the anf. |