An Introduction to Algebra: Upon the Inductive Method of InstructionHilliard, Gray & Company, 1837 - 276 σελίδες |
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Αποτελέσματα 6 - 10 από τα 37.
Σελίδα 98
... quotient will be the multiplicand . Again , the three terms 4 at b2 c - 6 a3 b3 c2 + 2 a2 b4 c3 of the product were formed by multiplying each term of the multiplicand by 2 a b c . Therefore , if these three terms be di- vided by 2 ...
... quotient will be the multiplicand . Again , the three terms 4 at b2 c - 6 a3 b3 c2 + 2 a2 b4 c3 of the product were formed by multiplying each term of the multiplicand by 2 a b c . Therefore , if these three terms be di- vided by 2 ...
Σελίδα 99
... quotient could be ascer- tained . This cannot often be done by inspection ; for in many products , though at first there are as many terms as there are units in the product of the number of terms in the multi- plicand by the number of ...
... quotient could be ascer- tained . This cannot often be done by inspection ; for in many products , though at first there are as many terms as there are units in the product of the number of terms in the multi- plicand by the number of ...
Σελίδα 100
... quotient , but which was formed by multiplying each remaining term of the quotient by all the terms of the divisor . This then is a new di- vidend , and to find the next term of the quotient we must pro- ceed exactly as before ; that is ...
... quotient , but which was formed by multiplying each remaining term of the quotient by all the terms of the divisor . This then is a new di- vidend , and to find the next term of the quotient we must pro- ceed exactly as before ; that is ...
Σελίδα 101
... quotient must be b , be- b gives + a b . - a b be divided by - a , the quotient must be + b , be- cause ax + b gives - a b . The rule for signs therefore is the same as in multiplication . When the signs are alike , that is , both + or ...
... quotient must be b , be- b gives + a b . - a b be divided by - a , the quotient must be + b , be- cause ax + b gives - a b . The rule for signs therefore is the same as in multiplication . When the signs are alike , that is , both + or ...
Σελίδα 102
... quotient . Examples . x2 2. Divide a2 b2 1. Divide + 2ax + a2 by 3. Divide b + 2 b2 x + x2 by 4. Divide x3 --- y3 - y3 5. Divide x3 - a + x . * by a + b . b2 + x . 1 +7 by by 6. Divide 15 a2 + 2ab - 8b2 by X3 7. Divide x3 - 2xy2 + y3 by ...
... quotient . Examples . x2 2. Divide a2 b2 1. Divide + 2ax + a2 by 3. Divide b + 2 b2 x + x2 by 4. Divide x3 --- y3 - y3 5. Divide x3 - a + x . * by a + b . b2 + x . 1 +7 by by 6. Divide 15 a2 + 2ab - 8b2 by X3 7. Divide x3 - 2xy2 + y3 by ...
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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.