An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gary, Little, and Wilkins, 1828 - 276 σελίδες |
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Σελίδα
... three months at one time under the same penalty . The Librarian shall have power by order of the Library Committee to call in any volume after it has been retained by a member for ten days . On or before the first Wednesday in May , all ...
... three months at one time under the same penalty . The Librarian shall have power by order of the Library Committee to call in any volume after it has been retained by a member for ten days . On or before the first Wednesday in May , all ...
Σελίδα 68
... third power , at the fourth power , & c . To preserve a uni- formity , a , without an exponent , is considered the same as a ' . which is called the first power of a . * Figures as well as letters may have exponents . The first power of ...
... third power , at the fourth power , & c . To preserve a uni- formity , a , without an exponent , is considered the same as a ' . which is called the first power of a . * Figures as well as letters may have exponents . The first power of ...
Σελίδα 79
... power of the sum of two numbers , is equal to the sum of the second powers of the two numbers , added to twice the ... third power of a + b . Ans . a3 + 3 ab + 3 a b2 + b3 . This is expressed in words thus : the third power XIII ...
... power of the sum of two numbers , is equal to the sum of the second powers of the two numbers , added to twice the ... third power of a + b . Ans . a3 + 3 ab + 3 a b2 + b3 . This is expressed in words thus : the third power XIII ...
Σελίδα 80
Warren Colburn. This is expressed in words thus : the third power of the first , plus three times 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 ...
Warren Colburn. This is expressed in words thus : the third power of the first , plus three times 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 ...
Σελίδα 100
... three terms from the dividend , and there remains 6 a3 b — 11 a2 b2 +6 a b3 — ba . which does not depend at all on ... power of a in the quotient . This gives for the quotient + 3 a b . I multiply each term of the divisor by this , and ...
... three terms from the dividend , and there remains 6 a3 b — 11 a2 b2 +6 a b3 — ba . which does not depend at all on ... power of a in the quotient . This gives for the quotient + 3 a b . I multiply each term of the divisor by this , and ...
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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.