An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gray, Little, and Wilkins, 1831 - 276 σελίδες |
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Σελίδα 36
... fraction showed that the whole fraction was to be subtracted . If the signs of the frac- tion had been changed at first , it would have been necessary to put the sign + before the fraction . This requires particu- lar attention ...
... fraction showed that the whole fraction was to be subtracted . If the signs of the frac- tion had been changed at first , it would have been necessary to put the sign + before the fraction . This requires particu- lar attention ...
Σελίδα 48
... fractions , 3y + 30 = 7x - 105 Instead of the method employed above for eliminating one of the unknown quantities , we may find the value of one of them in one equation . as if the other were known ; and then this value may be ...
... fractions , 3y + 30 = 7x - 105 Instead of the method employed above for eliminating one of the unknown quantities , we may find the value of one of them in one equation . as if the other were known ; and then this value may be ...
Σελίδα 53
... fraction inverted . 4. In an orchard of fruit - trees , of them bear apples , of them cherries , and the remainder , which is a , bear peaches . How many trees are there in the orchard ? 5 * Let Then the whole number of trees . x = IX ...
... fraction inverted . 4. In an orchard of fruit - trees , of them bear apples , of them cherries , and the remainder , which is a , bear peaches . How many trees are there in the orchard ? 5 * Let Then the whole number of trees . x = IX ...
Σελίδα 55
... fractions " and having a common de- 2 2 nominator , one numerator may be subtracted from the other Hence α b 2 - a .b - is the same as This is easily seen in 2 2 numbers . See below , where 55 and 13 are substituted for a and b . Hence ...
... fractions " and having a common de- 2 2 nominator , one numerator may be subtracted from the other Hence α b 2 - a .b - is the same as This is easily seen in 2 2 numbers . See below , where 55 and 13 are substituted for a and b . Hence ...
Σελίδα 57
... fractions have a common denominator , x = a + 2 b + ċ 3 This is the formula for the greatest part . The mean is x b , or b subtracted from + or or х 2 - b = · b = - b = 813 8100 α 8120 3 2b + + + -- The least part is x α b с - + 3 3 3 ...
... fractions have a common denominator , x = a + 2 b + ċ 3 This is the formula for the greatest part . The mean is x b , or b subtracted from + or or х 2 - b = · b = - b = 813 8100 α 8120 3 2b + + + -- The least part is x α b с - + 3 3 3 ...
Άλλες εκδόσεις - Προβολή όλων
An Introduction to Algebra: Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1837 |
An Introduction to Algebra Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1826 |
An Introduction to Algebra upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1844 |
Συχνά εμφανιζόμενοι όροι και φράσεις
12 rods 3d power 3d root a b c A's share a+b+c a² b² a² b³ ac² added algebra algebraic quantities apples approximate root Arith arithmetic becomes binomial Binomial Theorem bought breadth bushels coefficient compound interest compound quantities contained decimal denominator difference divide the number dividend division divisor equal equation example exponent expression factor figure formula fourth fraction gallons gives greater Hence length less Let the learner letter logarithm lowest terms merator miles multiplicand negative quantity number of terms observe pears quan question quotient remainder required to find rule second power second root second term shillings sold square rods subtracted Suppose third power third root tities twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 2 - District Clerk's Office. BE IT REMEMBERED, That on the seventh day of May, AD 1828, in the fifty-second year of the Independence of the UNITED STATES OF AMERICA, SG Goodrich, of the said District, has deposited in this office the...
Σελίδα 236 - S ; any three of which being given, the other two may be found.
Σελίδα 17 - ... of the length of the body, and the body is as long as the head and tail both. What is the whole length of the fish ? 17.
Σελίδα 276 - A and B travelled on the same road and at the same rate from Huntingdon to London. At the 50th mile stone from London, A overtook a drove of geese which were proceeding at the rate of three miles in two hours ; and two hours afterwards met a stage waggon, which was moving at the rate of 9 miles in 4 hours. B overtook the same drove of geese at the 45th mile stone, and met the same stage waggon exactly forty minutes before he came to the 31st mile stone.
Σελίδα 231 - Hence, the sum of a series of numbers in progression by difference is one half of the product of the number of terms by the sum of the first and last terms.
Σελίδα 222 - Examining the formation of the above coefficients, we observe, that each coefficient was found by multiplying the coefficient of the preceding...
Σελίδα 35 - How many days did he work, and how many days was he idle ? Let x = the number of days he worked.
Σελίδα 96 - To divide a whole number by a fraction, — Multiply the dividend by the denominator of the fraction, and divide the product by the numerator.
Σελίδα 156 - Take three times the square of the root just found for a trial divisor, and see how often it is contained in the dividend, and place the quotient for a second figure of the root. Then cube the figures of the root thus found, and if their cube be greater than the first two periods...
Σελίδα 81 - Hence we derive the following RULE. Divide the coefficient of the dividend by the coefficient of the divisor, and strike out the letters of the divisor from the dividend.