An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gary, Little, and Wilkins, 1830 - 276 σελίδες |
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Σελίδα 4
... quantities . In the ninth article , the 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 ...
... quantities . In the ninth article , the 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 ...
Σελίδα 6
... quantity is multiplied by known quantities An equation , what Coefficients , what II . Questions producing simple equations , in which the un- known quantity is divided by known quantities 9 11 13 13 14 III . Questions producing simple ...
... quantity is multiplied by known quantities An equation , what Coefficients , what II . Questions producing simple equations , in which the un- known quantity is divided by known quantities 9 11 13 13 14 III . Questions producing simple ...
Σελίδα 7
Warren Colburn. XIII . Multiplication of compound quantities XIV . Division of algebraic quantities XV . Algebraic ... quantity Discussion concerning the possible and impossible values of the unknown quantity , also of the positive and ...
Warren Colburn. XIII . Multiplication of compound quantities XIV . Division of algebraic quantities XV . Algebraic ... quantity Discussion concerning the possible and impossible values of the unknown quantity , also of the positive and ...
Σελίδα 8
... quantities of 193 any degree 195 XL . Fractional exponents and irrational quantities 197 XLI . Binomial Theorem 202 XLII . Summation of series by differences 208 XLIII . Same subject continued 217 XLIV . Binomial Theorem , continued ...
... quantities of 193 any degree 195 XL . Fractional exponents and irrational quantities 197 XLI . Binomial Theorem 202 XLII . Summation of series by differences 208 XLIII . Same subject continued 217 XLIV . Binomial Theorem , continued ...
Σελίδα 12
... quantity is the number of cach sort , but the number of each sort being the same , one charac- ter will express it . Let x denote the number of each sort . Then a oxen , at $ 42 apiece , will come to 42 x dolls . , and x cows , at $ 20 ...
... quantity is the number of cach sort , but the number of each sort being the same , one charac- ter will express it . Let x denote the number of each sort . Then a oxen , at $ 42 apiece , will come to 42 x dolls . , and x cows , at $ 20 ...
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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 a b c A's share a+b+c a² b² a² b³ a³ b² ac² added algebra algebraic quantities apples approximate root Arith arithmetic becomes binomial Binomial Theorem bought breadth bushels coefficient compound interest compound quantities contained decimal denominator difference divide the number dividend division divisor equal equation example exponent expression factor figure formula fourth fraction gallons gives greater Hence length less Let the learner letter logarithm lowest terms merator miles multiplicand negative quantity number of dollars number of terms observe pears quan question quotient remainder required to find rule second power second root second term sheep shillings sold square rods subtracted Suppose third power third root tities twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 2 - Clerk's Office. BE IT REMEMBERED, that on the ninth day of September, AD 1818, and in the forty-third year of the Independence of the United States of America, Samuel Swett 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 : Historical and topographical Sketch of Bunker Hill Battle, with a Plan.
Σελίδα 236 - The sum of all the terms. Any three of which being given, the other two may be found.
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 - 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 etching historical and other prints.
Σελίδα 156 - Take three times the square of the root just found for a trial divisor, and see how often it is contained in the dividend, and place the quotient for a second figure of the root. Then cube the figures of the root thus found, and if...
Σελίδα 33 - B gained a sum less by £40 than twice the sum A had lost ; when it appeared that B had twice as much money as A. What money did each begin with ? Let x be the number of pounds each had at first.
Σελίδα 92 - It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered...
Σελίδα 229 - Hence, any term may be found by adding the product of the common difference by the number of terms less one, to the first term. Example.
Σελίδα 35 - How many days did he work, and how many days was he idle ? Let x = the number of days he worked.
Σελίδα 271 - Divide the number 14 into two such parts, that the quotient of the greater divided by the less, shall be to the quotient of the less divided by the greater as 16 to 9.