## 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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### Common terms and phrases

acre amount annex answer Arithmetic Avoirdupois barrels of flour bill Boston Bought broadcloth bushels cents ciphers circle circumference common denominator common difference compound interest contain cords of wood cost cube root decimal diameter Divide dividend divisor dominical letter duodecillions equal EXAMPLES farthings feet long feet wide figure foot furlong gain gallons given number greatest common measure hogshead hundred improper fraction indorsements least common multiple length lowest terms miles minuend mixed number months multiplicand Multiply NOTE number of terms OPERATION ounces paid payment pence perform pound sterling pounds present worth quantity quarts question quotient ratio received Reduce remainder repetend rods SECTION shillings side simple fraction sold square root sterling subtract subtrahend sugar third thousand thousandths tons TROY WEIGHT United States money usury vulgar fraction weight whole number wine yards of cloth

### Popular passages

Page 203 - 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 255 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.

Page 222 - 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 321 - 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 315 - 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 289 - Thirty days after sight of this first of exchange (second and third of the same tenor and date unpaid...

Page 102 - 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 273 - 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 247 - 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.