An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gary, Little, and Wilkins, 1828 - 276 σελίδες |
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Σελίδα 154
... third root of any given number will consist , by beginning at the right and separating the number into parts of 3 ... root will contain 3 places or figures . In the formula ( a + b ) 3 = a3 +3 a2 b + 3 a b2 + b3 , if we consider a as ...
... third root of any given number will consist , by beginning at the right and separating the number into parts of 3 ... root will contain 3 places or figures . In the formula ( a + b ) 3 = a3 +3 a2 b + 3 a b2 + b3 , if we consider a as ...
Σελίδα 155
... root . 327 X 327 X 327 34,965,783 . Therefore the result is correct . If the root consists of four or more places , the same mode of reasoning may be pursued by making a first equal to the highest figure in the root , and b ... Third Root .
... root . 327 X 327 X 327 34,965,783 . Therefore the result is correct . If the root consists of four or more places , the same mode of reasoning may be pursued by making a first equal to the highest figure in the root , and b ... Third Root .
Σελίδα 156
... root that are to be found , it is sufficient to bring down one figure of the next period to form the dividend . Having found the second figure of the root , I raise 32 to the third power , and subtract it from 34,965 , omitting the last ...
... root that are to be found , it is sufficient to bring down one figure of the next period to form the dividend . Having found the second figure of the root , I raise 32 to the third power , and subtract it from 34,965 , omitting the last ...
Σελίδα 157
Warren Colburn. the two figures of the root , and write the quotient in the root . Then raise the whole root so found , to the third power ; and if it is not too large , subtract it from the first three periods ; if it is too large , ...
Warren Colburn. the two figures of the root , and write the quotient in the root . Then raise the whole root so found , to the third power ; and if it is not too large , subtract it from the first three periods ; if it is too large , ...
Σελίδα 158
... third root of 185193 ? 11. What is the third root of 8365427 ? 12. What is the third root of 77308776 ? 13. What is the third root of 1990865512 ? 14. 158 XXXI . Algebra .
... third root of 185193 ? 11. What is the third root of 8365427 ? 12. What is the third root of 77308776 ? 13. What is the third root of 1990865512 ? 14. 158 XXXI . 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'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 denote 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 sheep 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 tion tities Transposing twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 2 - District Clerk's Office. BE IT REMEMBERED, That on the twenty-fourth day of June, AD 1825, in the forty-ninth year of the Independence of the United States o"f America, WARREN COLBDRS, of the said district, has deposited in this office the title of a book, the right whereof he claims as author, in the words following, to wit : — " An Introduction to Algebra, upon the Inductive Method of Instruction.
Σελίδα 234 - The sum of all the terms. Any three of which being given, the other two may be found.
Σελίδα 156 - Note 1. If it happens that the divisor is not contained in the dividend, a cipher must be put in the root, and the next period brought down for a dividend. Note 2. The same rule must be observed for continuing the operation, and pointing off for decimals, as in the square root.
Σελίδα 2 - DISTRICT OF MASSACHUSETTS, TO WIT: District Clerk's Office. BE IT REMEMBERED, that on the...
Σελίδα 184 - The 3d power of (2 a — d)' is 4 =(2a — rf)'xa = (2a — d)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. 7. Express the 2d power of (3 b — c)4. 8. Express the 3d power of (a — c + 2 d)5. 9. Express the 7th power of (2 a* — 4 c3)3.
Σελίδα 24 - What was his age ? 23. A sum of money is to be divided between two persons, A and B, so that as often as A takes £9, B takes £4. Now it happens that A receives £15 more than B. What is the share of each ? 24.
Σελίδα 39 - And * of the distance from A to B, added to half the distance from C to D, is three times the distance from B to C. What are the respective distances ? , Ans.
Σελίδα 35 - How many days did he work, and how many days was he idle ? Let x = the number of days he worked.