An Introduction to Algebra: Upon the Inductive Method of InstructionHilliard, Gray & Company, 1837 - 276 σελίδες |
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Σελίδα 68
... power of 3 is written 31 - 3 32 3 X 3 = 9 the second power the third power 33 . 3 X 3 X 3 27 the fourth power 34 - 3 X 3 X 3 X 3 - 81 35 the fifth power 3 X 3 X 3 X 3 × 3 = 243 . The multiplication of quantities in which some of the ...
... power of 3 is written 31 - 3 32 3 X 3 = 9 the second power the third power 33 . 3 X 3 X 3 27 the fourth power 34 - 3 X 3 X 3 X 3 - 81 35 the fifth power 3 X 3 X 3 X 3 × 3 = 243 . The multiplication of quantities in which some of the ...
Σελίδα 79
... second powers of these two numbers . Let Particular Example . a = 12 and b = 7 . a + b = 19 , and a - b = 5 , a2 ... power of the sum of two numbers , is equal to the sum of the second powers of the two numbers , added to twice the ...
... second powers of these two numbers . Let Particular Example . a = 12 and b = 7 . a + b = 19 , and a - b = 5 , a2 ... power of the sum of two numbers , is equal to the sum of the second powers of the two numbers , added to twice the ...
Σελίδα 80
... second power of the first into the second , plus three times the first into the second power of the second , plus the third power of the second . Multiply a2 - 2ab + b by a - b . Ans . a3 - 3 ab + 3 a b3 —b3 . Which is the same as the ...
... second power of the first into the second , plus three times the first into the second power of the second , plus the third power of the second . Multiply a2 - 2ab + b by a - b . Ans . a3 - 3 ab + 3 a b3 —b3 . Which is the same as the ...
Σελίδα 117
... second power of a - a . b , and also of The second power of each is a + b2 — 2 a b . Now if ab is positive , then ba is negative ; or if a - b is negative , then ba is positive . Suppose then we have α b - b = m m a - ( a - b ) 2 : = ( b — ...
... second power of a - a . b , and also of The second power of each is a + b2 — 2 a b . Now if ab is positive , then ba is negative ; or if a - b is negative , then ba is positive . Suppose then we have α b - b = m m a - ( a - b ) 2 : = ( b — ...
Σελίδα 131
... 2 , or the second power of the unknown quantity . In order to find the value of x , it is necessary to find what number , multi- plied by itself , will produce 64. We ... Second Degree . Questions producing equations of the second degree.
... 2 , or the second power of the unknown quantity . In order to find the value of x , it is necessary to find what number , multi- plied by itself , will produce 64. We ... Second Degree . Questions producing equations of the second degree.
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Άλλες εκδόσεις - Προβολή όλων
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 |
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 5th power a b c A's share 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 consisting contained decimal 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 merator miles multiplicand negative quantity number of terms observe pears question quotient remainder required to find rule second power second root second term shillings sold subtracted Suppose third power third root twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 186 - The 3d power of (2 a — rf)4 is (2a — rf)^«+« = (2a — d)4x3=(2a — d)". 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. 7. Express the 2d power of (3 b — c)4. 8. Express the 3d power of (a — c -J- 2 d)*. 9. Express the 7th power of (2 a* — 4 c3)3.
Σελίδα 2 - DISTRICT OF MASSACHUSETTS, TO WIT: District Clerk's Office. BE IT REMEMBERED, that on the...
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 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 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 21 - A cask, which held 146 gallons, was filled with a mixture of brandy, wine, and water. In it there were 15 gallons of wine more than there were of brandy, and as much water as both wine and brandy. What quantity was there of each...
Σελίδα 232 - I, n, d, and. S; any three of which being given, the other two may be found, by combining the two equations. I shall leave the learner to trace these ' himself as occasion may require. Examples in Progression by Difference.
Σελίδα 35 - How many days did he work, and how many days was he idle ? Let x = the number of days he worked.
Σελίδα 229 - Hence, any term may be found by adding the product of the common difference by the number of terms less one, to the first term.
Σελίδα 273 - A gentleman bought a rectangular lot of valuable land, giving 10 dollars for every foot in the perimeter. If the same quantity had been in a square, and he had bought it in the same way, it would have cost him $33 less ; and if he had bought a square piece of the same perimeter he would have had 12^ rods more.