## The National Arithmetic on the Inductive System: Combining the Analytic and Synthetic Methods Together with the Cancelling System : Forming a Complete Mercantile Arithmetic |

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acre added amount annex answer barrels bill Boston Bought bushels called cent Change ciphers circle cloth common compound consist contain continued cords cost cube cubic decimal denominator diameter difference distance Divide dividend division divisor dollars equal EXAMPLES exchange feet long figure flour foot four fraction gain gallons give given greatest half hand hogshead hundred inches interest least length less measure method miles mills mixed months Multiply Note obtained OPERATION ounces paid payment pence perform period pounds present principal PROBLEM proceed proportion purchase quantity question quotient ratio received Reduce remainder repetend rods root RULE share shillings side simple sold square subtract sugar taken third thousand tons United week weight whole number wide wine worth write yards

### Popular passages

Page 205 - Ratio is the relation which one quantity bears to another of the same kind, the comparison being made by considering what multiple, part, or parts, one quantity is of the other.

Page 257 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.

Page 224 - Is when the several shares of stock are continued in trade an equal term of time. RULE. As the whole stock is to the whole gain or loss : so is each man's particular stock, to his particular share of the gain or loss.

Page 323 - It follows that the ratio of the circumference of a circle to its diameter is the same for all circles.

Page 94 - To reduce a mixed number to an improper fraction. RULE. — Multiply the whole number by the denominator of...

Page 317 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.

Page 291 - Thirty days after sight of this first of exchange (second and third of the same tenor and date unpaid...

Page 104 - Multiply each numerator into all the denominators except its own, for a new numerator : and all the denominators into each other continually for a common denominator; this written under the several new numerators will give the fractions required.

Page 275 - Alligation Medial, and Alligation Alternate. ALLIGATION MEDIAL, Is when the quantities and prices of several things are given, to find the mean price of the mixture composed of those materials.

Page 249 - Subtract the subtrahend from the dividend, and to the remainder bring down the next period for a new dividend, with which proceed as before ; and so on, till the whole is finished.