## 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 added amount angle annex annuity applied arithmetical arrangements base Bought breadth bushel called cent ciphers circle circumference common common difference compound interest consist contains continued cost cube root decimal denominator diameter difference Divide dividend divisible divisor dollars equal equated example extremes factors feet figure fraction gain give given greater greatest Hence horse hundred inches interest length less letters means measure miles months multiplicand Multiply NOTE number of terms obtain OPERATION payment period pound present worth prime Principal PROB proportion quantity quotient ratio Reduce remainder result rods RULE shillings side similar simple sold solid solved square root subtract surface taken tens thick things triangle true units weeks weight whole number wide write 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.