ALE OR BEER MEASURE. Ale or beer measure is used in measuring ale, beer, and milk. The denominations are hogsheads, barrels, gallons, quarts, and pints. Note. A gallon, beer measure, contains 282 cubic inches. Dry measure is used in measuring all dry goods, such as grain, fruit, roots, salt, coal, &c. The denominations are chaldrons, bushels, pecks, quarts, and pints. Note. A gallon, dry measure, contains 268 cubic inches. A Winchester bushel is 18+ inches in diameter, 8 inches deep, and contains 21507 cubic inches. 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 ma ny chaldrons? TIME. The denominations of time are years, months, weeks, days, hours, minutes, and seconds. 13 months, 1 day and 6 hours, 1 common, or m. or 365 days and 6 hours, ( Julian year, ( h. d. w. mo yr. 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, The number of days in each month may be easily fixed in the mind by committing to memory the following lines : In 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. 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 66. Reduce 475047465 se be 15 y. 19 d. 11 h. 37m. 45 s., how many seconds old are you, allowing 365 days 6 hours to the year? conds to years. 67. How many minutes from 68. Reduce 325440 minutes the 1st day of January to the to days. 14th day of August, inclusive ly? 69. How many minutes from 70. In 4079160 m nutes, the commencement of the war how many years? between America and Eng land, April 19th, 1775, to the settlement of a general peace, which took place Jan 1783? Jan. 20th, 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 : 1 fathom, used in measuring depths at sea. 1 quintal of fish. SUPPLEMENT TO REDUCTION QUESTIONS. 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 deavoirdupois 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. 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 measure? 11. What are the denominations in long measure? 12. in square measure? 13. - in cubic measure? 14. How do you multiply by1⁄2? 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. of time? 24. - 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. 1. In 46 £. 4 s., how many dollars? 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. 1892 times. 5. In 470 boxes of sugar, each 26 lb., how many cwt.? 6. In 10 lb. of silver, how many spoons, each weighing 5 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 1 25.) Ans. to the last, 5760 shingles. 8. 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. |