An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gary, Little, and Wilkins, 1828 - 276 σελίδες |
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Σελίδα 10
... Observe that the signs and affect the numbers which they stand immediately before , and no others . Thus = 14-68 16 ; and 14 +8 — 6 = 16 ; -- - and 86 + 14 = 16 ; and , in fine , 6 + 8 + 14 = 16. In all these cases the 6 only is to be ...
... Observe that the signs and affect the numbers which they stand immediately before , and no others . Thus = 14-68 16 ; and 14 +8 — 6 = 16 ; -- - and 86 + 14 = 16 ; and , in fine , 6 + 8 + 14 = 16. In all these cases the 6 only is to be ...
Σελίδα 15
... Observe , that 3x 4 is the same as of 3x . Now if of 3 x is 45 , 3 x itself must be 4 times 45 , or 180 ; 3 x being 180 , x must be of 180 , which is 60 . 2. A man , being asked his age , answered , that if its half and its third were ...
... Observe , that 3x 4 is the same as of 3x . Now if of 3 x is 45 , 3 x itself must be 4 times 45 , or 180 ; 3 x being 180 , x must be of 180 , which is 60 . 2. A man , being asked his age , answered , that if its half and its third were ...
Σελίδα 18
... Observe , the second put in 3 of what the first put in , and the third put in § . 25. Three men traded together ; the first put in $ 700 , the second $ 450 , and the third $ 950 . They gained $ 420 . What was the share of each ? Observe ...
... Observe , the second put in 3 of what the first put in , and the third put in § . 25. Three men traded together ; the first put in $ 700 , the second $ 450 , and the third $ 950 . They gained $ 420 . What was the share of each ? Observe ...
Σελίδα 21
... Observe , that after the question is put into equation , the pur- pose is to make a stand alone in one member of the equation , equal to a known quantity in the other member , then the value of x is found . In the preceding examples in ...
... Observe , that after the question is put into equation , the pur- pose is to make a stand alone in one member of the equation , equal to a known quantity in the other member , then the value of x is found . In the preceding examples in ...
Σελίδα 34
... Observe that 68 is not so great as 68 by x . - Therefore if I subtract 68 from 84 , I shall subtract too much by the quantity x , and I must add ☛ to obtain the true result . Then we have 84 68x for the difference between 84 and 68- x ...
... Observe that 68 is not so great as 68 by x . - Therefore if I subtract 68 from 84 , I shall subtract too much by the quantity x , and I must add ☛ to obtain the true result . Then we have 84 68x for the difference between 84 and 68- x ...
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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.