An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gary, Little, and Wilkins, 1828 - 276 σελίδες |
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Σελίδα 66
... units in a , we write a x , which signifies a times x , or ≈ multiplied by a . N. B. The learner should constantly bear in mind that 66 X. Algebra . Simple quantities Addition, multiplication, and subtraction of simple quanti- ties.
... units in a , we write a x , which signifies a times x , or ≈ multiplied by a . N. B. The learner should constantly bear in mind that 66 X. Algebra . Simple quantities Addition, multiplication, and subtraction of simple quanti- ties.
Σελίδα 83
... unit is divided ; and the numerator shows how many of those parts are used ; or the denominator shows into how many parts the numerator is di- vided . I shall here briefly recapitulate the rules for the operations on fractions ...
... unit is divided ; and the numerator shows how many of those parts are used ; or the denominator shows into how many parts the numerator is di- vided . I shall here briefly recapitulate the rules for the operations on fractions ...
Σελίδα 84
... units in b , and that as many of these parts are used as there are units in a ; or that a is divided into as many equal parts as there are units in b ; hence if it be divided into twice as many parts , the parts will be only one half as ...
... units in b , and that as many of these parts are used as there are units in a ; or that a is divided into as many equal parts as there are units in b ; hence if it be divided into twice as many parts , the parts will be only one half as ...
Σελίδα 87
... unit is divided into only one half as many parts ; consequently the parts must be twice as large as before . If the denominator be divided by 5 , the unit is divided into only one fifth as many parts ; hence the parts must be five times ...
... unit is divided into only one half as many parts ; consequently the parts must be twice as large as before . If the denominator be divided by 5 , the unit is divided into only one fifth as many parts ; hence the parts must be five times ...
Σελίδα 100
... unit- ing with some other term to form that . I subtract these 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 the term 2 a2 of the quotient , but which was formed by ...
... unit- ing with some other term to form that . I subtract these 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 the term 2 a2 of the quotient , but which was formed by ...
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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.