An Introduction to Algebra Upon the Inductive Method of InstructionCummings, Hilliard,, 1825 - 372 σελίδες |
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Σελίδα 19
... obtained . 10. A and B began to trade with equal stocks . In the first year A gained a sum equal to twice his stock and £ 27 over ; B gained a sum equal to his stock and £ 153 over . Now the amount of both their gains was equal to 5 ...
... obtained . 10. A and B began to trade with equal stocks . In the first year A gained a sum equal to twice his stock and £ 27 over ; B gained a sum equal to his stock and £ 153 over . Now the amount of both their gains was equal to 5 ...
Σελίδα 37
... 68 from 84 , I shall subtract too much by the quantity x , and I must add x to obtain the true result . 68x for the difference be Then we have 84 ― tween 84 and 68 - x . The excess of 40 above the less is 40 times 4 VI . 37 Equations .
... 68 from 84 , I shall subtract too much by the quantity x , and I must add x to obtain the true result . 68x for the difference be Then we have 84 ― tween 84 and 68 - x . The excess of 40 above the less is 40 times 4 VI . 37 Equations .
Σελίδα 54
... obtained . It is evident , that the coeffi- cients of either of the unknown quantities may always be rendered alike in the two equations , by multiplying the first equation by the coefficient which the quantity that you wish to make ...
... obtained . It is evident , that the coeffi- cients of either of the unknown quantities may always be rendered alike in the two equations , by multiplying the first equation by the coefficient which the quantity that you wish to make ...
Σελίδα 59
... obtained , containing only one unknown quantity , which may be solved the usual way . 4. Divide the 1st by 3 , 5. Multiply the 4th by 7 , x = 2y + 15 3 7x = 14y + 105 3 Substitute this value of 7 ≈ in the 3d , 6 . 7. Multiply by 3 , 3y ...
... obtained , containing only one unknown quantity , which may be solved the usual way . 4. Divide the 1st by 3 , 5. Multiply the 4th by 7 , x = 2y + 15 3 7x = 14y + 105 3 Substitute this value of 7 ≈ in the 3d , 6 . 7. Multiply by 3 , 3y ...
Σελίδα 62
... obtained . The solution with numbers has been performed at the same time with the reasoning ; and when the work was finished , no traces of the operations remained in the result . But algebra has a more important purpose . Pure algebra ...
... obtained . The solution with numbers has been performed at the same time with the reasoning ; and when the work was finished , no traces of the operations remained in the result . But algebra has a more important purpose . Pure algebra ...
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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 added algebraic quantities answer the conditions apples approximate root Arith becomes binomial Binomial Theorem bought breadth bushels coefficient compound interest compound quantities contain decimal denominator difference divide the number dividend divisor equal equation example exponent expressed factor find the root formula fourth fraction gallons gives greater Hence horse less Let the learner letter logarithm miles multi multiplicand multiplied negative quantity number of dollars number of terms observe pears question quotient received remainder required to find right hand figure rule second power second root second term shillings sold subtracted Suppose tens third power third root third term twice units unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 129 - 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 317 - The sum of all the terms. Any three of which being given, the other two may be found.
Σελίδα ii - 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 116 - 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 364 - A detachment of soldiers from a regiment being ordered to march on a particular service, each company furnished 4 times as many men as there were companies in the regiment ; but these being found insufficient, each company furnished three more men, when their number was found to be increased in the proportion of 17 to 16.
Σελίδα 38 - How many days did he work, and how many days was he idle ? Let x = the number of days he worked.
Σελίδα 363 - 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.
Σελίδα 312 - London to go round the •world, (23661 miles,) one going East and the other West. A goes one mile the first day, two the second, three the third, and so on, increasing his rate one mile per day.
Σελίδα 368 - ... and dollars diminished by 2, is half the number of coins. What is the number of coins of each sort ? 40. Suppose a man owes $1000, what sum shall he pay daily so as to cancel the debt, principal and interest, at the end of a year, reckoning it at 6 per cent. simple interest ? 41. A merchant bought two pieces of linen cloth, containing together 120 yards. He sold each piece for as many cents per yard as it contained yards, and found that one brought him in only A as much as the other.