An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gary, Little, and Wilkins, 1828 - 276 σελίδες |
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Αποτελέσματα 1 - 5 από τα 67.
Σελίδα 68
... exponents . The first power of 3 is written the second power the third power the fourth power the fifth power 31 3 32 = 3 X 3 = 9 33 = 3 × 3 × 3 = 27 3 * = 3 × 3 × 3 × 3 = 81 = 3X X 3 X 3 X 3 = 243 . 35 The multiplication of quantities ...
... exponents . The first power of 3 is written the second power the third power the fourth power the fifth power 31 3 32 = 3 X 3 = 9 33 = 3 × 3 × 3 = 27 3 * = 3 × 3 × 3 × 3 = 81 = 3X X 3 X 3 X 3 = 243 . 35 The multiplication of quantities ...
Σελίδα 79
... second powers of these two numbers . Particular Example . Let a = 12 and b = 7 . b = 5 , and a + b 19 , and ab 5 ... 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 . Particular Example . Let a = 12 and b = 7 . b = 5 , and a + b 19 , and ab 5 ... 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 . a3ab + 3 a b2 —b3 . Which is the same as the last ...
... 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 . a3ab + 3 a b2 —b3 . Which is the same as the last ...
Σελίδα 117
... second power of a ― b , and also of -a . - The second power of each is a + b2 — 2 ab . Now if a - b is positive , then ba is negative ; or if a — b is negative , then ba is positive . Suppose then we have a b = m b a = m ( a — b ) 2 ...
... second power of a ― b , and also of -a . - The second power of each is a + b2 — 2 ab . Now if a - b is positive , then ba is negative ; or if a — b is negative , then ba is positive . Suppose then we have a b = m b a = m ( a — b ) 2 ...
Σελίδα 131
... second degree , because it con- tains a2 , or the second power of the unknown quantity . In or der to find the value of x , it is necessary to find what number , multiplied by itself , will produce 64. We know immediately by the table ...
... second degree , because it con- tains a2 , or the second power of the unknown quantity . In or der to find the value of x , it is necessary to find what number , multiplied by itself , will produce 64. We know immediately by the table ...
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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.