Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges ...D. Appleton, 1851 - 342 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 12.
Σελίδα 100
... values . Multiply the numer- ator and denominator of the second approximate value , by the denominator of the next partial fraction , and to the respective products ... approximative values of the continued fraction 100 HIGHER ARITHMETIC .
... values . Multiply the numer- ator and denominator of the second approximate value , by the denominator of the next partial fraction , and to the respective products ... approximative values of the continued fraction 100 HIGHER ARITHMETIC .
Σελίδα 101
... approximative values of the continued fraction 1 3 + 1 1 + 1 2 + 1 4 + 1 5 ? Ans . 1 ,,, 1 , 1 , and 231 . 3 3. What are the approximative values of the continued 1 fraction 2 + 1 2 + 1 2 + 1 2 ? Ans . f , 1 , 1 , 1 , and 1 . 4. What ...
... approximative values of the continued fraction 1 3 + 1 1 + 1 2 + 1 4 + 1 5 ? Ans . 1 ,,, 1 , 1 , and 231 . 3 3. What are the approximative values of the continued 1 fraction 2 + 1 2 + 1 2 + 1 2 ? Ans . f , 1 , 1 , 1 , and 1 . 4. What ...
Σελίδα 102
... approximative values of the continued 1 fraction Ans . { 9 + 1 8 + 1 7 + 1 6 + 1 5 + 1 4 + 1 3 + 1 2 ? 57 35 0 1807 8 7578 24541 1 , 4 , 73 , 320 , 3193 , 10485 , 00133 , 223884 , 56660 516901 • 57. We will now show the application of ...
... approximative values of the continued 1 fraction Ans . { 9 + 1 8 + 1 7 + 1 6 + 1 5 + 1 4 + 1 3 + 1 2 ? 57 35 0 1807 8 7578 24541 1 , 4 , 73 , 320 , 3193 , 10485 , 00133 , 223884 , 56660 516901 • 57. We will now show the application of ...
Σελίδα 103
... approximative ratio of the English foot to the metre . In this example , the true ratio is . Operating 12000 3937 upon this fraction , as in the last example , we find some of the first approximate values to be ,,,, H 32 · 105 3 25 ...
... approximative ratio of the English foot to the metre . In this example , the true ratio is . Operating 12000 3937 upon this fraction , as in the last example , we find some of the first approximate values to be ,,,, H 32 · 105 3 25 ...
Σελίδα 104
... approximative values . 314159 5359 Proceeding with this , as in the former examples , we find some of the first approximative values to be ,, 106 113 & c . 333 3559 58. Continued fractions have been the means of ob- taining elegant ...
... approximative values . 314159 5359 Proceeding with this , as in the former examples , we find some of the first approximative values to be ,, 106 113 & c . 333 3559 58. Continued fractions have been the means of ob- taining elegant ...
Άλλες εκδόσεις - Προβολή όλων
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...