An Introduction to Algebra Upon the Inductive Method of InstructionCummings, Hilliard, 1826 - 276 σελίδες |
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Σελίδα 13
... taken , is called the coefficient of that letter . In the quantities 7x , 15 x , 22 x ; 7 , 15 , 22 , are coefficients of x . The process of forming an equation by the conditions of a question , is called putting the question into an ...
... taken , is called the coefficient of that letter . In the quantities 7x , 15 x , 22 x ; 7 , 15 , 22 , are coefficients of x . The process of forming an equation by the conditions of a question , is called putting the question into an ...
Σελίδα 24
... taken prisoners . Of how many men did his army consist be- fore the battle ? 21. Seven eighths of a certain number exceeds four fifths of it by 6. What is that number ? 22. A and B talking of their ages , A my age exceeds its fourth by ...
... taken prisoners . Of how many men did his army consist be- fore the battle ? 21. Seven eighths of a certain number exceeds four fifths of it by 6. What is that number ? 22. A and B talking of their ages , A my age exceeds its fourth by ...
Σελίδα 26
... taken to change the sign . In the last example , 76 was transposed from the first member to the second , and the sign changed from + to ; and 3 x was transposed from the second member to the first , and the sign changed from - to + ...
... taken to change the sign . In the last example , 76 was transposed from the first member to the second , and the sign changed from + to ; and 3 x was transposed from the second member to the first , and the sign changed from - to + ...
Σελίδα 35
... taken out of 7 x . - By the above rule 60 3 x , subtracted from 7 x , leaves 7 x 60 + 3x ; for 60 is too much to be subtracted by 3 x . By the conditions , - 7x - 60 + 3x = 80 . Transposing and uniting , 10 x 140 . Dividing by 10 , 20 ...
... taken out of 7 x . - By the above rule 60 3 x , subtracted from 7 x , leaves 7 x 60 + 3x ; for 60 is too much to be subtracted by 3 x . By the conditions , - 7x - 60 + 3x = 80 . Transposing and uniting , 10 x 140 . Dividing by 10 , 20 ...
Σελίδα 37
... taken from the gain , and he will have 5 shillings left . 2x - 60 + 3x = 5 . 3. What two numbers are to each other as 2 to 3 ; of which , if 4 be added , the sums will be as 5 to 7 . to each Let x the first number . 3x Then the second 4 ...
... taken from the gain , and he will have 5 shillings left . 2x - 60 + 3x = 5 . 3. What two numbers are to each other as 2 to 3 ; of which , if 4 be added , the sums will be as 5 to 7 . to each Let x the first number . 3x Then the second 4 ...
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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 a² b³ added algebra algebraic quantities apples approximate root Arithmetic becomes binomial Binomial Theorem bought breadth bushels cents apiece coefficient compound interest compound quantities contain decimal denominator difference divide the number dividend divisor equal equation example exponent expressed factor figure formula found by multiplying fourth fraction gallons gives greater Hence horse length less Let the learner letter logarithm merator miles multiplicand number of dollars number of terms observe pears quan question quotient remainder required to find rods rule second power second root second term shillings sold subtracted Suppose third power third root tities Transposing twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 4 - 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 - The sum of all the terms. Any three of which being given, the other two may be found.
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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Σελίδα 271 - Divide the number 49 into two such parts, that the quotient of the greater divided by the less, may be to the quotient of the less divided by the greater as i to |. 29.
Σελίδα 33 - B gained a sum less by £40 than twice the sum A had lost ; when it appeared that B had twice as much money as A. What money did each begin with ? Let x be the number of pounds each had at first.
Σελίδα 92 - It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered...
Σελίδα 186 - The 3d power of (2 a — d)4 is (2 a That is, any quantity, which is already a power of a compound quantity, may be raised to any power by multiplying its exponent by the exponent of the power to which it is to be raised. 1. Express the 2d power of (3 6 — c)4. 8. Express the 3d power of (a — c + 2 d)'. 9. Express tjie 7th power of (2 a
Σελίδα 276 - 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.
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.
Σελίδα 269 - A farmer has a stack of hay, from which he sells a quantity, which is- to the quantity remaining in the proportion of 4 to 5. He then uses 15 loads, and finds that he has a quantity left, which is to the quantity sold as 1 to 2. How many loads did the stack at first contain ? 10.