61. In 75 bushels of wheat, how many pints? 63. Reduce 42 chaldrons of coals to pecks. 62. In 4800 pints, how ma ny bushels? 64. In 6048 pecks, how many chaldrons ? TIME. The denominations of time are years, months, weeks, days, hours, minutes, and seconds. 1 month, W. mo 1 common, or yr. 4 weeks 13 months, 1 day and 6 hours, or 365 days and 6 hours, 37. The year is also divided into 12 calendar months, which, in the order of their succession, are numbered as follows, viz. January, 1st month, has 31 days. February, 2d, March, 3d, April, 4th, 28 31 30 May, June, 5th, 31 Note. When any year can be divided by 4 without a remainder, it is called leap year, in which February has 29 days. The number of days in each month may be easily fixed in the mind by committing to memory the following lines : Thirty days hath September, The first seven letters of the alphabet, A, B, C, D, E, F, G, are used to mark the several days of the week, and they are disposed in such a manner, for every year, that the letter A shall stand for the 1st day of January, B for the 2d, &c. In pursuance of this order, the letter which shall stand for Sunday, in any year, is called the Dominical letter for that year. The Dominical letter being known, the day of the week on which each month comes in may be readily calculated from the following couplet: At Dover Dwells George Brown, Esquire, These words correspond to the 12 months of the year, and the first letter in each word marks the day of the week on which each corresponding month comes in; whence any other day may be easily found. For example, let it be required to find on what day of the week the 4th day of July falls, in the year 1827, the Dominical letter for which year is G. Good answers to July; consequently, July comes in on a Sunday; wherefore the 4th day of July falls on Wednesday. Note. There are two Dominical letters in leap years, one for January and February, and another for the rest of the year. 65. Supposing your age to be 15 y. 19 d. 11h. 37 m. 45 s., how many seconds old are you, allowing 365 days 6 hours to the year? 66. Reduce 475047465 seconds to years. 68. Reduce 325440 minutes 67. How many minutes from the 1st day of January to the to days. 14th day of August, inclusively? 69. How many minutes from 70. In 4079160 minutes, the commencement of the war how many years? CIRCULAR MEASURE, OR MOTION. Circular measure is used in reckoning latitude and longitude; also in computing the revolution of the earth and other planets round the sun. The denominations are circles, signs, degrees, minutes, and seconds. Note. Every circle, whether great or small, is divisible into 360 equal parts, called degrees. 71. Reduce 9 s. 13° 25' to 72. In 1020300", how many seconds. degrees? The following are denominations of things not included in the Tables: 12 particular things make 12 gross, or 144 dozen, 20 particular things 6 points make 1 line, 1 inch, 12 lines 4 inches 6 feet Also, make 1 dozen. 1 gross. 1 great gross. 1 score. used in measuring the length of the rods of clock pendulums. - 1 hand, { S used in measuring the height of horses. 1 fathom, used in measuring depths at sea. 1. What is reduction? 2. Of how many varieties is reduction? 3. What is understood by different denominations, as of money, weight, measure, &c.? 4. How are high de nominations brought into lower? 5. How are low denominations brought into higher? 6. What are the denominations of English money? 7. What is the use of Troy weight, and what are the denominations? 8. avoirdupois weight? the denominations? 9. What distinction do you make between gross and net weight? 10. What distinctions do you make between long, square, and cubic neasure? 11. What are the denominations in long measure? 12. in square measure? 13. in cubic measure? 14. How do you multiply by ? 15. When the divisor contains a fraction, how do you proceed? 16. How is the superficial contents of a square figure found? 17. How is the solid contents of any body found in cubic measure? 18. How many solid or cubic feet of wood make a cord? 19. What is understood by a cord foot? 20. How many such feet make a cord? 21. What are the denominations of dry measure? 22. of wine measure? 23. 24. of time? of circular measure? 25. For what is circular measure used? 26. How many rods in length is Gunter's chain? of how many links does it consist? how many links make a rod? 27. How many rods in a mile? 28. How many square rods in an acre? 29. How many pounds make 1 cwt.? EXERCISES. how many dollars? 1. In 46 £. 4 S., Ans. $154. 2. In 36 guineas, how many crowns, at 6 s. 7 d. each? Ans. 153 crowns, and 9 d. 3. How many rings, each weighing 5 pwt. 7 grs., may be made of 3 lb. 5 oz. 16 pwt. 2 grs. of gold? Ans. 158. 4. Suppose West Boston bridge to be 212 rods in length, how many times will a chaise wheel, 18 feet 6 inches in circumference, turn round in passing over it? Ans. 189 times. 5. In 470 boxes of sugar, each 26 lb., how many cwt.? 6. In 10 lb. of silver, how many spoons, each weighing oz. 10 pwt.? 7. How many shingles, each covering a space 4 inches one way and 6 inches the other, would it take to cover 1 square foot? How many to cover a roof 40 feet long, and 24 feet wide? (See ¶ 25.) Ans. to the last, 5760 shingles. S. How many cords of wood in a pile 26 feet long, 4 feet wide, and 6 feet high? Ans. 4 cords, and 7 cord feet. 9. There is a room 18 feet in length, 16 feet in width, and 8 feet in height; how many rolls of paper, 2 feet wide, and containing 11 yards in each roll, will it take to cover the Ans. 8. walls? کم 10. How many cord feet in a load of wood 6 feet long, 2 feet wide, and 5 feet high? Ans. 4 cord feet. 11. If a ship sail 7 miles an hour, how far will she sail, at that rate, in 3 w. 4 d. 16 h.? 12. A merchant sold 12 hhds. of brandy, at $2'75 a gallon; how much did each hogshead come to, and to how much did the whole amount? 13. How much cloth, at 7 s. a yard, may be bought for 29. 1 s.? 14. A goldsmith sold a tankard for 10£. 8s. at the rate of 5 s. 4 d. per ounce; how much did it weigh? 15. An ingot of gold weighs 2 lb. 8 oz. 16 pwt.; how much is it worth at 3 d. per pwt.? 16. At $0'18 a pound, what will 1 T. 2 cwt. 3 qrs. 16 lb. of lead come to? 17. Reduce 14445 ells Flemish to ells English. 18. There is a house, the roof of which is 44 feet in length, and 20 feet in width, on each of the two sides; if 3 shingles in width cover one foot in length, how many shingles will it take to lay one course on this roof? if 3 courses make one foot, how many courses will there be on one side of the roof? how many shingles will it take to cover one side? to cover both sides? Ans. 16020 shingles. 19. How many steps, of 30 inches each, must a man take in travelling 54 miles? 20. How many seconds of time would a person redeem in 40 years, by rising each morning hour earlier than he now does? how 21. If a man lay up 4 shillings each day, Sundays excepted, how many dollars would he lay up in 45 years? 22. If 9 candles are made from 1 pound of tallow, many dozen can be made from 24 pounds and 10 ounces? 23. If one pound of wool make 60 knots of yarn, how many skeins, of ten knots each, may be spun from 4 pounds 6 ounces of wool? |