Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges ... with an AppendixD. Appleton and Company, 1849 - 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 add the ... approximative values of the continued 1 100 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 add the ... approximative values of the continued 1 100 HIGHER ARITHMETIC .
Σελίδα 101
... approximative values of the continued 1 fraction 3 + 1 1 + 1 2 + 1 4 + 1 5 ? Ans . ,,, 3 , 13 , and 1 . 251 . 3. What are the approximative values of the continued 1 fraction 2 + 1 2 + 1 2 + 1 2 ? Ans . 1 , 1 , 1 , 2 , and 13 . 흐음 . 5 ...
... approximative values of the continued 1 fraction 3 + 1 1 + 1 2 + 1 4 + 1 5 ? Ans . ,,, 3 , 13 , and 1 . 251 . 3. What are the approximative values of the continued 1 fraction 2 + 1 2 + 1 2 + 1 2 ? Ans . 1 , 1 , 1 , 2 , and 13 . 흐음 . 5 ...
Σελίδα 102
... approximative values of the continued fraction 1 9 + 1 8 + 1 7 + 1 6 + 1 5 + 1 4 + 1 3 + 1 2 ? 18 07 Ans . { 8 7578 2 4 5 4 1 1 , 1 , 73 , 520 , 3193 ' 16 485 , 69133 , 223884 ) 5 7 5 6 6 6 0 51690 1 . 57. We will now show the ...
... approximative values of the continued fraction 1 9 + 1 8 + 1 7 + 1 6 + 1 5 + 1 4 + 1 3 + 1 2 ? 18 07 Ans . { 8 7578 2 4 5 4 1 1 , 1 , 73 , 520 , 3193 ' 16 485 , 69133 , 223884 ) 5 7 5 6 6 6 0 51690 1 . 57. We will now show the ...
Σελίδα 103
... approximative values ( by Rule under Art . 56 , ) gives , 4 , 25 , 33 , 125 , 181 , 188- 1 7 29 ' 8 The fraction ... approximative ratio of the English foot to the metre . In this example , the true ratio is 1. Operating 12000 39371 upon ...
... approximative values ( by Rule under Art . 56 , ) gives , 4 , 25 , 33 , 125 , 181 , 188- 1 7 29 ' 8 The fraction ... approximative ratio of the English foot to the metre . In this example , the true ratio is 1. Operating 12000 39371 upon ...
Σελίδα 104
... approximative values . Proceeding with this , as in the former examples , we find some of the first approximative values to be ,, 10 6 113 & c . 333 3559 58. Continued fractions have been the means of ob- taining elegant approximations ...
... approximative values . Proceeding with this , as in the former examples , we find some of the first approximative values to be ,, 10 6 113 & c . 333 3559 58. Continued fractions have been the means of ob- taining elegant approximations ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
12 days 1st column acres added amount of $1 annexed annuity arith arithmetical progression bushel ciphers common difference compound interest continued fraction cube root decimal figures denoted diameter digits diminished dividend divisible by 9 EXAMPLES feet find the interest find the present following RULE fraction is equivalent gallons geometrical progression given principal gives greatest common measure gression half the number Hence improper fraction inches indorsement interest of $1 last term least common multiple less method metical progression miles mixed number multiplied nearly number is divisible number of dollars number of terms numerator and denominator obtain Operation oxen partial fraction period pounds present worth prime factors quantity quotient rate per cent ratio reciprocal Reduce remainder result right-hand figure Rule under Art second term shillings Solution square root subtract tabular number third term trial divisor true divisor twice the product vulgar fraction whole number worth of $1 yards
Δημοφιλή αποσπάσματα
Σελίδα 194 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Σελίδα 39 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Σελίδα 311 - 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 134 - 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...
Σελίδα 17 - ... any number divided by 9 will leave the same remainder as the sum of its digits divided by 9.
Σελίδα 134 - 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 178 - 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 249 - 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 - That is, the cube of the sum of two quantities is equal to the cube of the first, plus three times the square of the first...
Σελίδα 41 - Then multiply each numerator by all the denominators, except its own, for a new numerator, and all the denominators together for a common denominator.