Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges ...D. Appleton, 1851 - 342 σελίδες |
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Αποτελέσματα 6 - 10 από τα 17.
Σελίδα 35
... greatest common measure ( found by one of the Rules under Art . 8 , or 9. ) This division will not alter the value of the fraction . ( Prop . VI . , Art . 16. ) EXAMPLES . 1. Reduce 1 to its lowest terms . In this example , we find the ...
... greatest common measure ( found by one of the Rules under Art . 8 , or 9. ) This division will not alter the value of the fraction . ( Prop . VI . , Art . 16. ) EXAMPLES . 1. Reduce 1 to its lowest terms . In this example , we find the ...
Σελίδα 95
... + 3 + 2 . If we seek for the greatest common measure of the numerator and denominator of the first fraction 35 , by Rule under Art . 9 , we shall have the following Operation . 351 ) 965 ( 2 702 263 ) CONTINUED FRACTIONS . 95.
... + 3 + 2 . If we seek for the greatest common measure of the numerator and denominator of the first fraction 35 , by Rule under Art . 9 , we shall have the following Operation . 351 ) 965 ( 2 702 263 ) CONTINUED FRACTIONS . 95.
Σελίδα 96
... greatest common measure of the numerator and denominator of the given fraction ; the reciprocals of the successive quotients will form the partial fractions which constitute the con- tinued fraction required . EXAMPLES . 1. Convert into ...
... greatest common measure of the numerator and denominator of the given fraction ; the reciprocals of the successive quotients will form the partial fractions which constitute the con- tinued fraction required . EXAMPLES . 1. Convert into ...
Σελίδα 180
... greatest square in the first period , and place its root at the right of the number , in the form of a quotient figure in division . Subtract the square of this root from the first period , and to the remainder annex the second period ...
... greatest square in the first period , and place its root at the right of the number , in the form of a quotient figure in division . Subtract the square of this root from the first period , and to the remainder annex the second period ...
Σελίδα 193
... greatest cube of the first , or left - hand period ; place its root at the right of the number , after the manner of a quotient in division ; also place it to the left of the number for the first term of a column marked 1st COL . Then ...
... greatest cube of the first , or left - hand period ; place its root at the right of the number , after the manner of a quotient in division ; also place it to the left of the number for the first term of a column marked 1st COL . Then ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 323 - The logarithm of the product of any number of factors is equal to the sum of the logarithms of the factors.
Σελίδα 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.
Σελίδα 234 - Multiply the first term by the power of the ratio, whose exponent is one less than the number of terms. EXAMPLES. 1.
Σελίδα 141 - DISCOUNT is an allowance made for the payment of money before it is due. The present worth of a...