## A treatise on arithmetic, combining analysis and synthesis: adapted to the best mode of instruction in common schools and academies |

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### Common terms and phrases

acres altitude amount angle annex annuity arithmetical arithmetical series base Bought breadth bushels called cent centre ciphers circle circumference common difference compound interest continued product cost cube root cubic diameter Divide dividend divisible dollars dominical letter equated example farthings feet long figure frustum gain gallons given numbers greatest common measure Hence hundred improper fraction inches interest of $1 least common multiple length lower denomination marked price miles minuend mixed number months multiplicand Multiply NOTE number of terms OPERATION oxen payment polygon pound present worth prime factors prime numbers Principal PROB proportion quantity quotient radius ratio Reduce f remainder repetend rods RULE side simple fraction slant height sold solid sphere square root subtract subtrahend surface thick trial divisor triangle units vulgar fraction weight whole number yards

### Popular passages

Page 26 - The number to be divided is called the dividend. The number by which we divide is called the divisor.

Page 76 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.

Page 43 - DRY MEASURE 2 pints (pt.) = 1 quart (qt.) 8 quarts =1 peck (pk.) 4 pecks = 1 bushel (bu...

Page 80 - Therefore, multiplying both terms of a fraction by the same number does not alter its value.

Page 210 - The square root of a number is one of its two equal factors.

Page 223 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.

Page 141 - RULE. Divide the given interest by the interest of the principal, for the given time, at 1 per cent., and the quotient will be the rate.

Page 51 - The least common multiple of two or more numbers is the least number that is exactly divisible by each of them.

Page 33 - To divide by 10, 100, &c., we simply cut off as many figures from the right of the dividend as there are ciphers in the divisor.

Page 75 - To reduce an improper fraction to a whole or mixed number, — RULE : Divide the numerator by the denominator ; the quotient will be the whole or mixed number.