An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gray, Little, and Wilkins, 1831 - 276 σελίδες |
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Σελίδα 104
... square rods in the field is equal to 6 times the number of rods round it . Required the length and breadth of the field . 7. What two numbers are those , whose difference , sum , and product , are to each other , as the numbers 2 , S ...
... square rods in the field is equal to 6 times the number of rods round it . Required the length and breadth of the field . 7. What two numbers are those , whose difference , sum , and product , are to each other , as the numbers 2 , S ...
Σελίδα 112
... square rods ? Here a = 8 , b = 5 , and c = 60 x = 60 5 -8 = 4 . Ans . 4 rods , and the whole length will be 12 rods . Suppose the length 8 rods , and the breadth 5 ; how much must be added to the length , that the field may contain 30 ...
... square rods ? Here a = 8 , b = 5 , and c = 60 x = 60 5 -8 = 4 . Ans . 4 rods , and the whole length will be 12 rods . Suppose the length 8 rods , and the breadth 5 ; how much must be added to the length , that the field may contain 30 ...
Σελίδα 113
... square rods ? 40-5 x 30 x = 2 . The value of x is now positive , which shows that the ques- tion is correctly expressed . There is a field 8 rods long and 5 rods wide , how much must be subtracted from the length , that the field may ...
... square rods ? 40-5 x 30 x = 2 . The value of x is now positive , which shows that the ques- tion is correctly expressed . There is a field 8 rods long and 5 rods wide , how much must be subtracted from the length , that the field may ...
Σελίδα 115
... square rods . The answer was - 2 ; which was equivalent to saying , you must subtract 2 rods . It is required to subtract ab from c . The answer is evidently c - a + b . Now if a is greater than b , the quantity cab is less than e by ...
... square rods . The answer was - 2 ; which was equivalent to saying , you must subtract 2 rods . It is required to subtract ab from c . The answer is evidently c - a + b . Now if a is greater than b , the quantity cab is less than e by ...
Σελίδα 146
... square rods , is called an acre of land . If it were square , what would be the length of one of its sides ? Let x one side . x2 = 160 x = 12649 + Ans . The side is 12.649 rods . It cannot be found exactly , because 160 is not an exact ...
... square rods , is called an acre of land . If it were square , what would be the length of one of its sides ? Let x one side . x2 = 160 x = 12649 + Ans . The side is 12.649 rods . It cannot be found exactly , because 160 is not an exact ...
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.