An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gray, Little, and Wilkins, 1831 - 276 σελίδες |
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Σελίδα 117
... changed in all places where it is used . That is , if it was before added , it must now be subtracted ; and if it was sub- tracted before , it must now be added , and that whether multi- plied by another quantity or not . Suppose we ...
... changed in all places where it is used . That is , if it was before added , it must now be subtracted ; and if it was sub- tracted before , it must now be added , and that whether multi- plied by another quantity or not . Suppose we ...
Σελίδα 123
... changed to + . 11. Multiply 3a ( bc - d ) 3 26c 7am by 3 ( b c — d ) 12. Multiply 4 ab3 3 c ( b - 2c ) bc2 ( b - 2c ) by • 12 a2 b3 13. Divide 15 a3 ( bc — 2 ) 3 3 45 a3 ( b c - 2 ) 2 by 16 62 c3 24 62 ca ( a - b ) 3 5a3 ( 17b + 3d ) 4 ...
... changed to + . 11. Multiply 3a ( bc - d ) 3 26c 7am by 3 ( b c — d ) 12. Multiply 4 ab3 3 c ( b - 2c ) bc2 ( b - 2c ) by • 12 a2 b3 13. Divide 15 a3 ( bc — 2 ) 3 3 45 a3 ( b c - 2 ) 2 by 16 62 c3 24 62 ca ( a - b ) 3 5a3 ( 17b + 3d ) 4 ...
Σελίδα 126
... where they are together is nearer to A than to B , by the distance from A to B. It must therefore be on the other side of A , as at E. E A B C Ꭰ The enunciation of the question may be changed in two 126 XXVI . Algebra .
... where they are together is nearer to A than to B , by the distance from A to B. It must therefore be on the other side of A , as at E. E A B C Ꭰ The enunciation of the question may be changed in two 126 XXVI . Algebra .
Σελίδα 127
Warren Colburn. The enunciation of the question may be changed in two ways so as to answer the conditions of this equation . First , we may suppose , that the couriers , setting out from A and , B , instead of going towards D , go in the ...
Warren Colburn. The enunciation of the question may be changed in two ways so as to answer the conditions of this equation . First , we may suppose , that the couriers , setting out from A and , B , instead of going towards D , go in the ...
Σελίδα 161
... changed to a decimal . 173 = 17.75 = 17750 = 17.750 . 1000 Hence it appears , that to prepare a number containing deci- mals , it is necessary that for every decimal place in the root , there should be three decimal places in the power ...
... changed to a decimal . 173 = 17.75 = 17750 = 17.750 . 1000 Hence it appears , that to prepare a number containing deci- mals , it is necessary that for every decimal place in the root , there should be three decimal places in the power ...
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.