APPLICATION. 1. Required the solid contents of four pieces of round timber, the first of which measured 2tons, 39ft. 94in. ; the 2d, 4tons, 1695in. ; the 3d, 35ft. 1183in.; and the 4th, lton, 25ft. Ans. 9T. 20ft. 1244in. 2. Bought of A 14cor. 1727sol. in. of wood; of B 19cor. 127sol. ft.; of C 7cor. 98ft. 1101in.; of D 9cor. ; and of E 63ft. 1210in. ; how much did I buy in all ? Ans. 51c. 34ft. 552in. or 51c. 24ft.+ Wood Measure. ܪ DRY MEASURE. Chal.bus.pk. qt: pt. Bus. pk. gal. qt. pt. APPLICATION. 1. A corn-merchant sends over the sea, of wheat 130 bus. 3pks. Igal. Ipt. ; of oats 290bus. Igal. 3qts. ; of rye he has sent 300bus. 3qts. ; of pease 80bus. 3pks. ; and of beans 50bus.; for what number of bushels does he pay freight ? Ans. 851 bus. 3pk. Igal. 2qt. 1 pt. 2. How many chaldrons of coals are there in four loads, the 1st containing 14chal. 27bus. 2pk. Iqt.; the 2d, 9chal. 3pk.; the 3d, 29chal. 3qts.; and the 4th, 35chal. 7bus. 2pk. 4qts. ? Ans. 88chal. WINE MEASURE. Hhd. gal. qt. 68 31 3 5 3 51 2 1 1 47 59 1 7 2 60 1 1 2 29 48 1 9 1. 26 1 0 3 68 37 0 6 1 17 3 1 1 47 18 1 APPLICATION. 1. A gentleman bought of a wine-merchant, of port wine, 1 tun, 3hhds.; of claret, 3hhds. 47gal.; of mountain, 1hhd. 5gal.; and of Lisbon, 2bhds. 23gal.: what quantity did he buy in all ? Ans. 3tuns, 2hhds. 12gal. 2. Imported from Cadiz, Lisbon, Oporto, and Madeira, 4 lots of wine, the 1st of which contained 3tuns, 3hhds, 61 gal. 2qt. 1 pt. ; the 2d, 2pipes, lbhd. 48gal. 3gills ; the 3d, 2bhds. 41gal. 1 gill; and the 4th, 6pipes, 3hhds. 38gal. 1qt. : how much did I have in all ? Ans. 10 tuns. ALE OR BEER MEASURE. Hhd.gal.qt. A.fir.gal.qt. Butt.bbl.gal.gt. 416 29 3 69 7 2 25 1 24 1 34 17 2 43 5 1 36 2 30 2 178 15 1 53 4 1 0 16 0 315 47 1 46 3 3 74 1 25 1 351 34 1 29 1 1 98 1 18 1 81 APPLICATION. 1. A beer-brewer has sent into the country, ale, as follows, viz. at one time 3hhds. 14gal. 3qt. : at another, 2 hhds. 16gal.; at another, 14hhds. 27gals. 2qts. ; and at another, 6hbds. 3qts. : how much was sent in all ? Ans. 26hhds. 5gal. 2. Bought 4 lots of beer; the 1st contained 3 butts, i bbl. 3qts.; the 2d, 1 butt, 34gal. 1qt.; the 3d, 2bbls. 2 qts.; and the 4th, 5butts, lbbl. 2qts; what did I buy in all ? Ans. 10butts, 2bbls. TIME. Yr. days, h. m. APPLICATION. 1. Peter's father was 28 years old, (reckoning 13 months to 1 year, and 28 days to 1 month,) when Peter was born ; betwixt Peter and John were 2yrs. 10m. 16d. ; between John and James, one year and eleven months; and between James and Job, 3yrs. 7m. 25d. ; when Job is 16yrs. 9m. 27d. old, how old is their father? Ans. 53yrs. 12days. 2. Four memorable events occurred, between the 1st and 2d of which were 21yrs. 236d. 7h. 40m. 50s. ; betwixt the 2d and 3d, 48yrs. 19b. 53s.; and between the 3d and last, 30yrs. 128d. 3h. 18m. 178. ; now, allowing 365d. and 6 hours to the year, I wish to know what period of time elapsed between the first and last of those events ? Ans. 100 years. CIRCULAR MOTION. 2 15 42 57 41 54 39 APPLICATION. 1. If the sun's motion in the zodiac be one day, 1° 1' 10"; on another, the same; on the next, 1° 1' 11"; on the next, 1° 1' 10" ; and on the next two, 1° 1' 11" each day; what distance does he move in the six days? Ans. 6° 7' 3". 2. If the moon's motion in the signs be, on one day, 13° 28' 4" ; on another, 13° 2' 23" ; on another, 12° 40% 1"; on another, 12° 21' 47": on another, 12° gi 50" ; and on another, 11° 58' 7"; what distance does she move in the six days? Ans. 28. 15° 39' 12", COMPOUND SUBTRACTION. COMPOUND SUBTRACTION is finding the difference between two numbers, of which one or both are compound. Rule.-Set the less number under the greater, as directed in Compound Addition. Then, beginning at the least denomination, subtract the under number of each from the upper, writing their respective remainders below them. But if the under number of any of the denominations be greater than the upper, add so many to the upper as make one of the next higher denomination; then take the under number from that sum, writing down the remainder as before, and carry or add one to the under number of the next higher denomination before you subtract it.—The method of proof is the same as in Simple Subtraction. EXAMPLES. MONEY. £. From 691 12 61 34 11 4 1 81 17 61 Take 284 15 91 17 14 10 3 21 12 41 . S. d. qr. S. d. Rem. 406 16 8 Proof. 691 12 61 APPLICATION. 1. What sum added to £17 11s. 84d. will make £100 ? Ans. £82 8s. 3d. 3qrs. 2. Borrowed £50 10s. ; paid again, at one time, £17 11s. 4d.; at another, £9 4s. 8d. ; at another, £7 9s. 6d. ; and at another, 19s. 64d.; how much remains unpaid ? Ans. £15 4s. 11 d. TROY WEIGÉT. it. oz. dwt. gr. Ib. oz. dwt. gr. 39 8 14 16 71 9 16 11 16 10 10 19 35 1 17 20 APPLICATION. Sent to a Silversmith 915. 8oz. 14gr. of silver to be wrought; he makes me four dozen of spoons, weighing 8it. 8oz. 6dwt. 21gr. ; how much silver is left! Ans. 1loz. 13dwt. 17gr. AVOIRDUPOIS WEIGHT. gr. lb. oz.dr. 73 11 1 21 94 2 11 8 9 39 17 2 12 47 3 17 11 10 Here 251b. a qr. APPLICATION. 1. Bought 17cwt. 2qr. 141b. of sugar, of which I sold 9cwt. 3qr. 25lb. ; how much remains unsold ? Ans. 7cwt. 2qr. 17lb. 2. Bought, at one time, 9cwt. 3qrs. 21lb. 8oz. of iron, and sold, next day, 8cwt. lqr. 241b. 14oz.; bought at another time, 15cwt. 131b. 15oz. of the same kind, and sold the same week, 15cwt. lqr. ; what remains unsold of the two parcels, 25lb. a qr.? Ans. lcwt. lqr. 10lb. 9oz. APOTHECARIES' Weight. . Ib. Z. 3. 3. gr. 81 7 2 0 11 69 10 4 1 12 47 2 4 2 15 30 11 12 17 APPLICATION. Bought of an apothecary sundry articles, weighing 18 15:53 29; he compounded two parcels from them, one of which weighed 7 15. 73. 19gr., and the other, 41b 43. 19. Igr. : how much was left uncompounded? Ans. 21. 13. gr. na. E. Fr. qr. 42 1 2 74 1 3 21 3 1 89 4 2 17 2 1 40 2 1 9 4 2 12 0 3 na. a APPLICATION. 1. From a fashionable piece of cloth, which contained 52yds. 2na., a tailor was ordered to take 3 suits, each 6yds. Aqrs. ; how much remains of the piece ? Ans. 32yds. 2qrs. 2na. |