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

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7. 51- issued. 8. 12-i cwt. of gold, 3 - of silver, and 2g- of copper. 9. Weight
of the sovereign 123 —71 grains, of the half-crown '215i-~-r grains. 10. 80 shillings
23T3 s, 9 1rai i s
and 5 grains over. 11. 882-;1 grains.
XXI.
2. 64 of 18cwt. or -_o of one ton. 3. 1520 tons of ore. 4. 204lbs. and 171-lbs.
5. ~860 7s. 2d. 7. 7164 pence. 8. 11+100=111.. TTT + I 4=1. The unit is
24cwt., of which 244cwt. is tin, and 212 cwt. copper. 9. 75 per cent. of copper
and 25 per cent. of tin. 10. 55-l41bs. of oxygen, 48 2571lbs. of carbon, and
7-5l1bs. of hydrogen. 11. 7441 ounces of oxygen, 334- ounces of sulphur, and
42-44 ounces of calcium. 12. 15cwt. of nitre, 2cwt. of sulphur, and 3cwt. of
charcoal.
XXII.
1. 441- lineal inches, 44-IS square inches. 2. 44 cubic inches. 3.. -- lineal
inches; 1 Wo an abstract number. 4. -l-1 square inches; lineal inches; l
an abstract number. 5. The former is double of the latter. 6. 2~ lineal feet. 7.;25i lineal foot. 8. The first quotient is 192 cubic inches, the second 192 square
inches, the third 192 lineal inches, and the fourth indicates that 9 cubic inches is
contained 192 times in a cubic foot. 9. The difference is 88441 square yards. 10.
3064 square feet. The quotient 9 gives the number of times the latter length is contained in the former. 11. 214 inches. 12. 4524 square feet. 13. Meadow and
arable is -+ =4, the rest 4 =1 acre, 3 roods, 26 poles=306 poles, and -=18
poles..~. - or -1= 144 poles, meadow: and -4 or j=270 poles, arable.
14. Here 500+350+800+160=1810.'. -~ + 113+~~1 + z-~ += 1. In this case
the unit is 200 acres,.'. -~ of 200 acres = 55-L8, the allotment to the possessor of:the rental of ~500 a year. In a similar way the rest of the allotments may be found.
XXIII.
1. The length of the measuring rod is 28 -7 inches, and is contained 983.2- times
in 77 yards, which is not so near 99 times as by r-.- in defect. The distance, therefore, which approaches nearest to 77 yards is 99 times the length of the measuring
rod. 2. 1 -- inch. 3. -0 of an inch.
4. 5 plethra= 124 toises, 1 plethra-==-4 — toises.
9 toises = 17 metres, 1 toise =- - metres.
35 metres 39 yards, 1 inetre == of 1 yard.
Hence 1 plethra = 2- of -L of 3 of 1 yard.
1575 pletlhra-= — X 12 X4-X.-X3 =82212 yards.
150 lt~a=_1 5 9 3.5
5. 3+4+5=12, 4+S+l =1. The unit is 492 yards. Hence 4, ~, and of of
492 yards are respectively 123, 164, and 205 yards. 6. If the error be in defect, the
apparent length is 502 yards, and 24~ inches over. If the error be in excess, the
apparent length is 499 yards and 35 inches over. 7. 5 miles is -5V8 of the earth's
diameter. The height of Mont Blanc above the surface of a globe of 16 inches
diameter is represented by fxwi of an inch, or between T 6 and T of an inch.
The height of Kunchingunga above the surface of a globe of 30 inches diameter, is
represented by WL47'v of an inch, or between 41 and 4- of an inch.
XXIV.
1. 944 - square yards, 8477 square feet, 10174 square inches. 2. 429 yards. 3.
9 — yards. 4. 1040~ feet wide. 5. 280 plots each 1-} foot wide. 6. 2664
yards. 7. 17724 square yards. 8. 284 planks. 9. 199 yard 10. 25yards.
Y. 28~ rlullu1. 25 yards~
11. 1036500 stones. 12. 1369 yards of paper.
XXV.
1. ~30 2s. 9-d. 2. 14s. 104-2d1. per yard. 3. 10 feet high and 16 feet broad.
4. 16 feet broad. 5. ~15 14s. 34dcl. 6. 6?,3 feet high. 7. ~5 17s. 014d.
4. 1 6 feet broad. 5. XI' 48.2 9 9 15~~~~ cr,.