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6272640

43560 =

= 4840

=

160=

4 =

1

By this measure, Land, and Husbandmen and Gardeners' work are measured; also Artificers' work, such as Board, Glass, Pavements, Plastering, Wainscoting Tiling, Flooring, and every dimension of length and breadth only.

When three dimensions are concerned, namely, length, breadth, and depth or thickness, it is called cubic or solid measure, which is used to measure Timber, Stone, &c.

The cubic or solid Foot, which is 12 inches in length and breadth and thickness, contains 1728 cubic or solid inches, and 27 solid feet make one solid yard.

DRY

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By this are measured all dry wares, as, Corn, Seeds, Roots, Fruit, Salt, Coals, Sand, Oysters, &c.

The standard Gallon dry-measure contains 2684 cubic or solid inches, and the Corn or Winchester bushel 21503 cubie inches; for the dimensions of the Winchester bushel, by the Statute, are 8 inches deep, and 18 inches wide or in diameter. but the Coal bushel must be 19 inches in diameter; and 36 bushels, heaped up, make a London chaldron of coals, the weight of which is 3156lb Avoirdupois.

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Note, By this are measured all Wines, Spirits, Strongwaters, Cyder, Mead, Perry, Vinegar, Oil, Honey, &c.

The Wine Gallon contains 231 cubic or solid inches. And it is remarkable, that the Wine and Ale Gallons have the same proportion to each other, as the Troy and Avoirdupois Pounds have; that is, as one Pound Troy is to one Pound Avoirdupois, so is one Vine Gallon to one Ale Gallon.

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Wk Da Hr Mo Da Hr.

Or 52 1 6= 13 1 61 Julian Year

Da Hr M Sec

But 365 5 48 481 Solar Year.

RULES FOR REDUCTION.

I. When the Numbers are to be reduced from a Higher Denomination to a Lower:

MULTIPLY the number in the highest denomination by as many as of the next lower make an integer, or 1, in that higher; to this product add the number, if any, which was in this lower denomination before, and set down the amount.

Reduce this amount in like manner, by multiplying it by as many as of the next lower, make an integer of this, taking in the odd parts of this lower, as before. And so proceed through all the denominations to the lowest; so shall the number last found be the value of all the numbers which were in the higher denominations, taken together.*

EXAMPLE.

1. In 1234/ 158 7d, how many farthings?

8 d

1234 15 7

20

24695 Shillings

12

296347 Pence

4

Answer 1185388 Farthings.

The reason of this rule is very evident; for pounds are brought into shillings by multiplying them by 20; shillings into pence, by mul. tiplying them by 12; and pence into farthings, by multiplying by 4; and the reverse of this rule by Division.-And the same, it is evident, will be true in the reduction of numbers consisting of any denominations whatever.

II. When

II. When the Numbers are to be reduced from a Lower Denomination to a Higher:

DIVIDE the given number by as many as of that denomination make 1 of the next higher, and set down what remains, as well as the quotient.

Divide the quotient by as many as of this denomination make 1 of the next higher; setting down the new quotient, and remainder, as before.

Proceed in the same manner through all the denominations. to the highest; and the quotient last found, together with the several remainders, if any, will be of the same value as the first number proposed.

EXAMPLES.

2. Reduce 1185388 farthings into pounds, shillings, and pence.

4) 1185388

12) 296347 d

2,0) 2469,5 8—7d

Answer 1234/ 158 7d

3. Reduce 24/ to farthings.

4. Reduce 337587 farthings to pounds, &c.

Ans. 23040. Ans. 351/ 13, 03.

5. How many farthings are in 36 guineas?
6. In 36288 farthings how many guineas?
7. In 59 lb 13 dwts 5 gr how many grains?
8. In 8012131 grains how many pounds, &c. ?

Ans. 36288.

Ans. 36. Ans. 340157.

Ans. 1390 lb 11 oz 18 dwt 19 gr. 9. In 35 ton 17 cwt 1 qr 23 lb 7 oz 13 dr how many drams? Ans. 20571005.

10 How many barley-corns will reach round the earth, supposing it, according to the best calculations, to be 25000 miles? Ans. 4752000000. 11. How many seconds are in a solar year, or 365 days 5 hrs 48 min 48 sec ? Ans. 31556928. 12. In a lunar month, or 29 ds 12 hrs 44 min 3 sec, how many seconds?

Ans. 2551443.

COM

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