Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges ... with an AppendixD. Appleton and Company, 1849 - 342 σελίδες |
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Σελίδα 18
... third term , counting from 3 , is divisible by 3 ; every fifth term , counting from 5 , is divisible by 5 ; every seventh term , counting from 7 , is divisible by 7 , and so on . 39 Commencing at 3 , under every third term , I have ...
... third term , counting from 3 , is divisible by 3 ; every fifth term , counting from 5 , is divisible by 5 ; every seventh term , counting from 7 , is divisible by 7 , and so on . 39 Commencing at 3 , under every third term , I have ...
Σελίδα 29
... terms as there are prime factors , by making 1 the first term of any one of the series , the first power of one of the prime factors for the second term , the second power of this factor for the third term , and so on , until we reach a ...
... terms as there are prime factors , by making 1 the first term of any one of the series , the first power of one of the prime factors for the second term , the second power of this factor for the third term , and so on , until we reach a ...
Σελίδα 110
... 3 , is 12-3-2-4 . The ratio of 15 yards to 5 yards , is 3 . So that the ratio of one number to another is nothing more than the value of a vulgar fraction , whose numera- tor is the first term , and denominator the last term . The ratio ...
... 3 , is 12-3-2-4 . The ratio of 15 yards to 5 yards , is 3 . So that the ratio of one number to another is nothing more than the value of a vulgar fraction , whose numera- tor is the first term , and denominator the last term . The ratio ...
Σελίδα 111
... third terms are called the extremes . the means . The first and second constitute the first couplet . The third and ... term , divided by the second , is equal to the quotient of the third , divided by the fourth , it follows that the ...
... third terms are called the extremes . the means . The first and second constitute the first couplet . The third and ... term , divided by the second , is equal to the quotient of the third , divided by the fourth , it follows that the ...
Σελίδα 112
... three terms which are given , one will always be of the same kind as the answer sought ; this will be the third term . Then if , by the nature of the question , the answer is required to be greater than the third term , divide the ...
... three terms which are given , one will always be of the same kind as the answer sought ; this will be the third term . Then if , by the nature of the question , the answer is required to be greater than the third term , divide the ...
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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.