nomination: That is to say, in whole numbers, 9; in shillings, 19; in pence, 11; in farthings, 3;-For Avoirdupoies weight, in quarters 3; in pounds, 27; in ounces, 15; in drams, 15, &c. &c. In this last example we say, there are 2 couplets; and the right hand figure is 3; then 2 from 3 and 1 remains; set the 1 under 3 and carry 2 to the left of the whole bring down the residue of the half coup. let, and the amount will stand thus; £241 5d. 19. 15s. 3. If 365 days will make one year, how many days are in 76 years and 256 days? Ans. 27996. 4. General La Fayette, Co-Patriot with General Washington, was born September 6th, 1757-died May 20th, 1834. What was his age? 5. In a field 60 rods square how many acres? Ans. 224. 60 by 415 ch. 00 links: 15.00 × by 15.00 =2250000 links; now cut off five decimals at the right; the left will be acres. Thus, 22.50000. 6. How much carpeting 3 qrs. wide will cover a floor 18 feet long and 16 feet wide? Answer, 42 yds. 2 qrs. 6 inches." 18 X 12=216 inches in length; 16 X 12= 192 in width; and 3 qrs. X9 = 27 inches in width. Now say, as 27 in width are to 192 in width; so are 216 in length to a fourth number, viz. 42 yds. 2 qrs. 6 in. 27: 192 :: 216. See page 201, where Inverse proportion is made direct in all cases. 7. How many shingles, 4 inches wide, will cover a roof 40 feet long with 30 feet rafter, allowing each course to gain 6 inches? Ans. 14400." Note. We may add 240 shingles to form a double course over the eaves. 8. Proof of Lesson 6. square inches in a piece of and 6 inches? How many superficial carpeting 42 yds. 2 qrs. Ans. 1536 inches. 9. What will be the price of 72 yards of cambrick, of which 9 yards cost £5 128.? yds. £. S. yds. £. Ans. £44 16s. S. 16 9: 5 12 :: 72 : 44 Multiply the second term by 8, the product will be the answer; because any number multiplied by 8, will produce the same result as if it were multiplied by 72, and that product divided by 9. "10. What will 9 yards of cambric cost at the rate of £44 16s. for 72 yards? Ans. £5 12s." Divide the second term by 8, the quotient will be the answer. 72 yds.: £44 16s. :: 9 yds.: £5 12s. "11. How many men must be employed to finish a piece of work in 15 days, which 5 men can do in 24 days? Ans. 8 men." See page 201. "12. A garrison being besieged, has 5 months' provisions in it, at the rate of 12 ounces a day for each man; but being informed that it cannot be relieved till after 9 months, how much per day must each man have that the provisions may last that time? Answer 63 oz." "13. What will the tax be on £763 15s., at the rate of 38. 6d. per pound? Ans. £133 13s. 1d." "14. What will 7 cwt. 1 qr. of sugar cost, at the rate of 43 cwt. 2 qrs. for £159 2s.? See page 177. Ans. £26 10s. 4d." "15. A person stopping payment, owes to several £977, but compounds with them for 8s. 74d. per pound; what must he pay them in all? Ans. £420 6s. 34d." "16. What must be given for 7 cwt. 3 qis. 14 lb. cheese, at £1 14s. 2d. per cwt. ? Answer, £13 9s. Od." "17. If the tax on £763 15s. be £133 13s. 14d. at what rate is it per pound? Answer, 3s. 6d." "18. What will the transportation of 8 cwt. 3 qrs. 7 lb. cost, at the rate of 10d. per stone of 14 lb. ? Answer, £1 18s. 9d." "19. What must be paid for 73 pieces of lead, each weighing 1 cwt. 3 qrs. 7 lb., at £10 4s. per fother of 193 cwt.? Ans. £69 4s. 2d. 148q." "20. If 5 yards of cloth cost 14s. 2d., what must be given for 9 pieces containing each 21 yds. 1 qr.? Ans. £27 1s. 10дd. To make a Hopper to hold any given quantity, having the depth given. RULE. Divide the inches contained in the bushels it is to hold, by one third of the depth in inches; the quotient will be the square of one of the sides at top. Extract the root of that square for the length of one side. EXAMPLE. 21. "The hopper shall hold 6.5625 bushels, the given depth is 24 inches, how long must be one side at top? Ans. 42 inches." Operation. The number of bushels in the hopper, 6.5625 ! 2150.4 RECIPE FOR MAKING GOOD INK. "Take 8 ounces of Nutgalls, 4 ounces of ground or rasped Logwood, and boil them one hour in 12 pounds of water, or until one half is evaporated; it is then percolated, or strained through a hair sieve, and to this liquid are added sulphat of iron or copperas 4 ounces, gum Arabic 3 ounces, and sulphat of copper or blue vitriol one ounce.* This solution is well stirred and suffered to stand twenty-four hours; it is then poured off from the sediment and kept close stopt in glass or stone jars." See Encyclopedia under CHEMISTRY. *Note. The original Recipe orders 1 ounce of sugar candy; but I find it too glutinous for expeditious writing; though it gives a beautiful gloss in school copies. Mr. Sylvester in Albany, prepares an excellent Ink-powder. |