## Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges ... |

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### Common terms and phrases

acres amount of $1 annex annuity approximative values arith arithmetical progression bushel canceling ciphers common denominator common difference compound interest continued fraction cube root decimal figures decimal places denotes digits diminished divided dividend divisible by 9 EXAMPLES exponent expressed feet find the interest find the present following RULE frac fraction is equivalent gallons geometrical progression given principal gives greatest common measure half the number Hence improper fraction inches indorsement interest of $1 last term least common multiple less lowest terms method metical progression miles mixed number multiplied nearly number of decimal number of dollars number of terms numerator and denominator obtain Operation partial fraction perfect repetend places of decimals pound present worth prime factors quantity quotient rate per cent ratio Reduce remainder right-hand figure Rule under Art shillings square root subtract tabular number third term Total branches trial divisor vulgar fraction whole number wine vessel worth of $1 yards

### Popular passages

Page 309 - That is, the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second number.

Page 22 - Divide the greater number by the less, the divisor by the remainder, and thus continue to divide the last divisor by the last remainder until there is no remainder ; the last divisor will be the greatest common divisor.

Page 132 - ... apply the payment, in the first place, to the discharge of the interest then due. If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due. If the payment be less than the interest, the surplus of interest must not be taken to augment the principal; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due, and...

Page 37 - Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.

Page 132 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due. " If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due.

Page 247 - His head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together. What was the weight of the fish ? Let 2x = the weight of the body in pounds.

Page 323 - The logarithm of the product of any number of factors is equal to the sum of the logarithms of the factors.

Page 9 - To raise a whole number or a decimal to any power, use it as a factor as many times as there are units in the exponent.

Page 234 - Multiply the first term by the power of the ratio, whose exponent is one less than the number of terms. EXAMPLES. 1.

Page 141 - DISCOUNT is an allowance made for the payment of money before it is due. The present worth of a...