An Introduction to Algebra upon the Inductive Method of InstructionJordan, Swift & Wiley, 1844 - 276 σελίδες |
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Σελίδα 68
... square of a , and a3 the cube of 4. The terms square and cube were borrowed from geometry , but as they are not only inappropriate , but convey ideas very foreign to the present subject , it has been thought best to discard them ...
... square of a , and a3 the cube of 4. The terms square and cube were borrowed from geometry , but as they are not only inappropriate , but convey ideas very foreign to the present subject , it has been thought best to discard them ...
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 , 3 ...
... 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 , 3 ...
Σελίδα 112
... square rods ? Here α = 8 , b 5 , and c = 60 60 x = 8 = 4 . 5 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 ...
... square rods ? Here α = 8 , b 5 , and c = 60 60 x = 8 = 4 . 5 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 ...
Σελίδα 113
... square rods ? 40-5 x = 30 x = 2 . The value of x is now positive , which shows that the question 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 question 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 a b from c . The answer is evidently c → a + b . Now if a is greater than b , the quantity cab is less than c by ...
... square rods . The answer was 2 ; which was equivalent to saying , you must subtract 2 rods . It is required to subtract a b from c . The answer is evidently c → a + b . Now if a is greater than b , the quantity cab is less than c by ...
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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 - 1831 |
Συχνά εμφανιζόμενοι όροι και φράσεις
12 rods 3d power 3d root 5th power a b c A's share a² b² a²x² ac² added algebra algebraic quantities answer the conditions apples approximate root Arith arithmetic becomes binomial Binomial Theorem bought breadth bushels cents apiece coefficient compound interest compound quantities contain decimal denominator denote difference divide the number dividend divisor equal equation example exponent expressed factor figure formula fourth fraction gallons geometrical progression gives greater Hence length less Let the learner letter logarithm miles multiplicand number of dollars number of sheep number of terms observe pears question quotient remainder required to find rods rule second power second root second term shillings sold subtracted Suppose third power third root Transposing twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 101 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Σελίδα 2 - States entitled an act for the encouragement of learning hy securing the copies of maps, charts and books to the author., and proprietors of such copies during the times therein mentioned, and also to an act entitled an act supplementary to an act, entitled an act for the encouragement of learning by securing the copies of maps, charts and books to the authors and proprietors of such copies during the times therein mentioned and extending the benefits thereof to the arts of designing, engraving and...
Σελίδα 82 - The usual way of expressing division, as has already been explained, is by writing the divisor under the dividend in the form of a fraction. Thus a divided by b is expressed ^. This gives rise to fractions in the same manner as in arithmetic.
Σελίδα 236 - The sum of all the terms. Any three of which being given, the other two may be found.
Σελίδα 203 - The exponent of a in the first term is the same as the exponent of the power to which the binomial is raised, and it diminishes by one in each succeeding term.
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 229 - The points ..... are used to show that some terms are left out of the expression, as it is impossible to express the whole until a particular value is given to n.
Σελίδα 222 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Σελίδα 35 - How many days did he work, and how many days was he idle ? Let x = the number of days he worked.
Σελίδα 275 - ... 8 days. But on the evening of the sixth day, 100 men were killed in a sally, and afterwards the mortality increased to 10 daily. Supposing the stock of provisions unconsumed at the end of the sixth day to support 6 men for 61 days; it is required to find how long it would support the garrison, and the number of men alive when the provisions were exhausted.