An Introduction to Algebra: Upon the Inductive Method of InstructionHilliard, Gray & Company, 1837 - 276 σελίδες |
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Σελίδα 7
... root 133 XXIX . Extraction of the second root of fractions 142 XXX . Questions producing pure equations of the second degree 145 XXXI . Questions producing pure equations of the third de- gree 150 Extraction of the third root 151 XXXII ...
... root 133 XXIX . Extraction of the second root of fractions 142 XXX . Questions producing pure equations of the second degree 145 XXXI . Questions producing pure equations of the third de- gree 150 Extraction of the third root 151 XXXII ...
Σελίδα 8
Upon the Inductive Method of Instruction Warren Colburn. XXXVIII . Extraction of the roots of compound quantities of any degree XXXIX . Extraction of the roots of numerical quantities of 193 any degree 195 XL . Fractional exponents and ...
Upon the Inductive Method of Instruction Warren Colburn. XXXVIII . Extraction of the roots of compound quantities of any degree XXXIX . Extraction of the roots of numerical quantities of 193 any degree 195 XL . Fractional exponents and ...
Σελίδα 133
... root of the second pow- er , and when it is required to find the first power from the second , the process is called extracting the root . It has been shown , Art . XXIV . that the second power of every quantity , whether positive or ...
... root of the second pow- er , and when it is required to find the first power from the second , the process is called extracting the root . It has been shown , Art . XXIV . that the second power of every quantity , whether positive or ...
Σελίδα 134
... root consists of one figure , the second power cannot exceed two figures ; and when the root consists of two figures , the second power consists of not less than three figures , nor more than four figures . From these remarks it appears ...
... root consists of one figure , the second power cannot exceed two figures ; and when the root consists of two figures , the second power consists of not less than three figures , nor more than four figures . From these remarks it appears ...
Σελίδα 135
... root and raise the whole to the second power . is larger than 729. Next try 7 in the place of 8 . 729. Therefore 7 is right , and 27 is the root required . The operation may stand as follows . 28 X 28 729 ( 20 +7 = 27 root . 400 329 ...
... root and raise the whole to the second power . is larger than 729. Next try 7 in the place of 8 . 729. Therefore 7 is right , and 27 is the root required . The operation may stand as follows . 28 X 28 729 ( 20 +7 = 27 root . 400 329 ...
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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.