An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gray, Little, and Wilkins, 1831 - 276 σελίδες |
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Σελίδα 61
... proportions ; A $ 8 as often as B $ 5 , and as often as C $ 3 . They gained $ 800 . What is each man's share of the gain ? It is evident that they must receive in the proportion of the capital that they respectively furnished . x = A's ...
... proportions ; A $ 8 as often as B $ 5 , and as often as C $ 3 . They gained $ 800 . What is each man's share of the gain ? It is evident that they must receive in the proportion of the capital that they respectively furnished . x = A's ...
Σελίδα 62
... proportion of m , n , and p ; and let the whole gain be a . Let x A's share of the gain . n x Then B's share . m And px = C's share . m Then we have x + n x m + xx m mx + n x + px = m a ( m + n + p ) x = ma ma x = = A's share . m + n + ...
... proportion of m , n , and p ; and let the whole gain be a . Let x A's share of the gain . n x Then B's share . m And px = C's share . m Then we have x + n x m + xx m mx + n x + px = m a ( m + n + p ) x = ma ma x = = A's share . m + n + ...
Σελίδα 63
... proportion of the stock which he furnished , and di vide the product by the sum of their proportions . The propriety of this rule is easily seen . For , putting in the numbers instead of the letters , A's share is $ 800 , B's share is 3 ...
... proportion of the stock which he furnished , and di vide the product by the sum of their proportions . The propriety of this rule is easily seen . For , putting in the numbers instead of the letters , A's share is $ 800 , B's share is 3 ...
Σελίδα 132
... proportion of 5 to 4 , and the difference of whose second powers is 9. What are the num- bers ? Let 4 x then 5 the larger number , the smaller . 4x The second power of 4 is 5 16 x2 25 By the conditions x2 16 x2 - = 9 . 25 4. There are ...
... proportion of 5 to 4 , and the difference of whose second powers is 9. What are the num- bers ? Let 4 x then 5 the larger number , the smaller . 4x The second power of 4 is 5 16 x2 25 By the conditions x2 16 x2 - = 9 . 25 4. There are ...
Σελίδα 149
... proportion of their sides is as 15 to 8. Required the sides . 11. There is a rectangular room , the sum of whose length and breadth is to their difference as 8 to 1 ; if the room were a square whose side is equal to the length , it ...
... proportion of their sides is as 15 to 8. Required the sides . 11. There is a rectangular room , the sum of whose length and breadth is to their difference as 8 to 1 ; if the room were a square whose side is equal to the length , it ...
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.