An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gary, Little, and Wilkins, 1828 - 276 σελίδες |
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Σελίδα 3
... 66 Addition , multiplication , and subtraction of simple quanti- ties 66 XI . Compound Quantities 70 Addition of compound quantities 70 XII . Subtraction of compound quantities 72 This mode has also the advantage of exercising the learner.
... 66 Addition , multiplication , and subtraction of simple quanti- ties 66 XI . Compound Quantities 70 Addition of compound quantities 70 XII . Subtraction of compound quantities 72 This mode has also the advantage of exercising the learner.
Σελίδα 4
... learner is taught to generalize particular cases , and to form rules . Here he is first taught to represent known quantities by letters , and at the same time the purpose of it . The transition from particular cases to general ...
... learner is taught to generalize particular cases , and to form rules . Here he is first taught to represent known quantities by letters , and at the same time the purpose of it . The transition from particular cases to general ...
Σελίδα 5
... learner is directed to turn back and do in a new way , something he has done before , let him not fail to do it , for it will be necessary to his future progress and it will be much better to trace the new principle in what he has done ...
... learner is directed to turn back and do in a new way , something he has done before , let him not fail to do it , for it will be necessary to his future progress and it will be much better to trace the new principle in what he has done ...
Σελίδα 9
... learner might readily solve without the aid of algebra . This requires the explanation of only the signs plus and ... learner an idea of what is want- ed , and he is then left to solve several by himself . The most simple combinations ...
... learner might readily solve without the aid of algebra . This requires the explanation of only the signs plus and ... learner an idea of what is want- ed , and he is then left to solve several by himself . The most simple combinations ...
Σελίδα 11
... learner always to prove his results . In the same manner perform the following examples . 3. Said A to B , my horse and saddle together are worth $ 130 , but the horse is worth 9 times as much as the saddle . What is the value of each ...
... learner always to prove his results . In the same manner perform the following examples . 3. Said A to B , my horse and saddle together are worth $ 130 , but the horse is worth 9 times as much as the saddle . What is the value of each ...
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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.