An Introduction to Algebra upon the Inductive Method of InstructionJordan, Swift & Wiley, 1844 - 276 σελίδες |
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Σελίδα 66
... if x is to be repeated , any number of times , for instance as many times as there are units in a , we write a x , which signifies a times x , or x multiplied by a . N. B. The learner should constantly bear in mind that 68 .X . Algebra .
... if x is to be repeated , any number of times , for instance as many times as there are units in a , we write a x , which signifies a times x , or x multiplied by a . N. B. The learner should constantly bear in mind that 68 .X . Algebra .
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 99
... units in the product of the number of terms in the multi- plicand by the number of terms in the multiplier , some of the terms are united together by addition or subtraction , and some disappear entirely . Even if all the terms did ...
... units in the product of the number of terms in the multi- plicand by the number of terms in the multiplier , some of the terms are united together by addition or subtraction , and some disappear entirely . Even if all the terms did ...
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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 b c A's share a² b² a²x² ac² added algebra algebraic quantities answer the conditions apples approximate root Arith 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 fourth fraction gallons geometrical progression gives greater Hence length less Let the learner letter logarithm miles multiplicand number of dollars number of sheep number of terms observe pears question quotient remainder required to find rods rule second power second root second term shillings sold subtracted Suppose third power third root Transposing twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 101 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Σελίδα 2 - States entitled an act for the encouragement of learning hy securing the copies of maps, charts and books to the author., and proprietors of such copies during the times therein mentioned, and also to an act entitled an act supplementary to an act, entitled an act for the encouragement of learning by securing the copies of maps, charts and books to the authors and proprietors of such copies during the times therein mentioned and extending the benefits thereof to the arts of designing, engraving and...
Σελίδα 82 - The usual way of expressing division, as has already been explained, is by writing the divisor under the dividend in the form of a fraction. Thus a divided by b is expressed ^. This gives rise to fractions in the same manner as in arithmetic.
Σελίδα 236 - The sum of all the terms. Any three of which being given, the other two may be found.
Σελίδα 203 - The exponent of a in the first term is the same as the exponent of the power to which the binomial is raised, and it diminishes by one in each succeeding term.
Σελίδα 2 - District Clerk's Office. BE IT REMEMBERED, That on the seventh day of May, AD 1828, in the fifty-second year of the Independence of the UNITED STATES OF AMERICA, SG Goodrich, of the said District, has deposited in this office the...
Σελίδα 229 - The points ..... are used to show that some terms are left out of the expression, as it is impossible to express the whole until a particular value is given to n.
Σελίδα 222 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Σελίδα 35 - How many days did he work, and how many days was he idle ? Let x = the number of days he worked.
Σελίδα 275 - ... 8 days. But on the evening of the sixth day, 100 men were killed in a sally, and afterwards the mortality increased to 10 daily. Supposing the stock of provisions unconsumed at the end of the sixth day to support 6 men for 61 days; it is required to find how long it would support the garrison, and the number of men alive when the provisions were exhausted.