Elementary arithmetic, with brief notices of its history... by Robert Potts.

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decimal answers the question. 3. 78TH-S of 1 ton: 9lbs. 2foz. 4. '0064 is conm
tained 15625 times in 1,000,000. 5. 10 tons l0cwt. 891bs. 9oz. 9Sdrs.
XXII.
1. Reduce -,4 and -1- to decimals. 2. The Roman pound contained 52050'38412:
grains Troy. 3. Divide the number of grains in 13380772 ounces Troy by
40443495; and the number of grains in 1442 tons 12 cwt. Avoirdupois by
150291456, each to 3 places of decimals, the quotients will give the weights of each
in grains.
XXIII
1. 1382yds. Oft. 10L, inches. 2. 54-r4yds. 3. The remainderis T — of 1 foot.
4. 54 times with a remainder of 713-_ inches. 5. The error of one-tenth of an inch
in one yard will cause an error of 914k inches in 9145, yards. If 9145 yards be
divided by 35T, and by 36, o respectively, the difference can be found when the.
error is in defect and excess.
XXIV.
1. The English mile exceeds the Roman mile by 426 English feet. 2. 12642:
English inches. 3. 12'135 English inches.
XXY.
The French metre is g o9 of the English yard. 2. 111847}1- -~- French metres'.
3. 1 metre=2'812 Cremonese feet. 4. lyd. Oft. 3-10%'~S inches. 5. 44 crowns, and
'36 of an inch over, and 54 half-crowns, and '036 of an-inch over.
XXVI.
1. 7 miles 1048'5728 yards. 2. The circumference of the earth is 40 million.
metres. 3. Convert the metres into feet, and the feet into miles. 4. These data
give the length of the metre 39-42 inches. 5. 237650 miles, 977yds. 10-512 inches,
XXVII.
1. 13 acres 1833yds. 2ft. 80-64 inches. 2. 35-2232 cubic feet, and 10-7388 -square feet. 3. 37. 5. 44501-49841 cubic yards.
XXVIII
1. 1440 ounces of gold at the cost of ~5103.. 2. 1090 — ounces. 3. 11 tons.
Ocwt. 141bs. 8'52oz.
XXIX.
1. One gallon contains 272-274 cubic inches; and 272'274, or 2-7 4 as a.
divisor, will be equivalent to 1i oOI, or -T.T as a multiplier.
2. If 1 cubic foot of water= 62-351bs.,then 1000 cubic feet =1000 X 62-35 = 623501bs.
1000 x 1728 X 252'5
On the first assumption 1000 cubic feetl x 7 623311bs.
7000
On the second,, 10001000 =625001bs.
16
1000 X6X20X12
On the third 1000 20 = 622221lbs.
216
3. The cistern contains 48} cubic feet of water, weighing 1320i-lbs., or
803 yVy-3? gallons. 4. 2423 tons 9cwt. 395.o2'. lbs. 5. 999 s1ilbs. 6. 12l1bs.
Troy. 7. 19-940 ounces.
XXX.
1. Since water on freezing expands in volume TO per cent., or 10 parts in 100, or
1 part in 10; 10 parts of water become 11 parts of ice.
Hence conversely, when 11 parts of Ice become 10 parts of water, the ice is con,
tracted by one-eleventh part of its volume.