An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gray, Little, and Wilkins, 1831 - 276 σελίδες |
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Σελίδα 40
... difference between the greater and 75 may be to the excess of the less over 12 in the proportion of 8 to 3 . 17. A man bought 12 lemons and a pound of sugar for 56 cents , afterwards he bought 18 lemons and a pound of sugar at the same ...
... difference between the greater and 75 may be to the excess of the less over 12 in the proportion of 8 to 3 . 17. A man bought 12 lemons and a pound of sugar for 56 cents , afterwards he bought 18 lemons and a pound of sugar at the same ...
Σελίδα 42
... difference between the two flocks . If all his sheep had been ewes , and brought forth three lambs apiece , his stock would have been 432. Required the number in each flock . the number in the less . the number of lambs . Let x Then 2x ...
... difference between the two flocks . If all his sheep had been ewes , and brought forth three lambs apiece , his stock would have been 432. Required the number in each flock . the number in the less . the number of lambs . Let x Then 2x ...
Σελίδα 45
... difference between the numbers 39 and 42 must depend upon the x's . 5 . x = 3 cents , the price of an orange . Putting this value of x into the first equation , 6 . 7 . 9 + 2y = 13 y = 2 cents , the price of an apple . Proof . 2 apples ...
... difference between the numbers 39 and 42 must depend upon the x's . 5 . x = 3 cents , the price of an orange . Putting this value of x into the first equation , 6 . 7 . 9 + 2y = 13 y = 2 cents , the price of an apple . Proof . 2 apples ...
Σελίδα 55
... difference between the number to be divided and the excess . α X The greater part is equal to + b ; hence if b be added to it will give the greater part : b 2 2 * Whenever the learner finds any difficulty in comprehending the operations ...
... difference between the number to be divided and the excess . α X The greater part is equal to + b ; hence if b be added to it will give the greater part : b 2 2 * Whenever the learner finds any difficulty in comprehending the operations ...
Σελίδα 65
... difference for each vessel between paying 12 and receiving 8 is 20 ( or b + c ) cents ; 340 divided by 20 gives 17 ... difference between + 100 and 240 is 340 , or their sum . Also the difference between + d and ac is d + ac . So the ...
... difference for each vessel between paying 12 and receiving 8 is 20 ( or b + c ) cents ; 340 divided by 20 gives 17 ... difference between + 100 and 240 is 340 , or their sum . Also the difference between + d and ac is d + ac . So the ...
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.