Algebra for High Schools and Colleges: Containing a Systematic Exposition and Application of the Elementary and Higher Principles of the SciencePratt, Oakley & Company, 1859 - 306 σελίδες |
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Σελίδα viii
... Equivalent of Multiplying Two or more Fractions together , ( 101 ) . RULE XV . For the Multiplication of Fractions , ( 102 ) . How a Fraction is Multiplied by its own Denominator , and what Can- cellations may be made in the ...
... Equivalent of Multiplying Two or more Fractions together , ( 101 ) . RULE XV . For the Multiplication of Fractions , ( 102 ) . How a Fraction is Multiplied by its own Denominator , and what Can- cellations may be made in the ...
Σελίδα xi
... Equivalent Exponents , ( 213 ) .- Sign to be Prefixed to an odd Root of a Quantity , ( 214 ) .- Sign to be Prefixed to an even Root , ( 215 ) .— Of an even Root of a negative Quantity , ( 216 ) .How the Roots of Polynomials may be ...
... Equivalent Exponents , ( 213 ) .- Sign to be Prefixed to an odd Root of a Quantity , ( 214 ) .- Sign to be Prefixed to an even Root , ( 215 ) .— Of an even Root of a negative Quantity , ( 216 ) .How the Roots of Polynomials may be ...
Σελίδα 3
... equivalent to ( a + b - c ) x C or a + b - cxx . PRELIMINARY EXERCISES . In the elementary oral Exercises which are occasionally inserted , the Student should write down the quantities as they are read to him . Suppose the letters a , b ...
... equivalent to ( a + b - c ) x C or a + b - cxx . PRELIMINARY EXERCISES . In the elementary oral Exercises which are occasionally inserted , the Student should write down the quantities as they are read to him . Suppose the letters a , b ...
Σελίδα 6
... equivalent to a + a + a ;. while a3 , the third power of a , is equivalent to aaa . Coefficients and exponents are thus employed to abbreviate the language of Algebra . Zabc ? What is the equivalent , in Addition , of 2x ? Of 3ax ? Of ...
... equivalent to a + a + a ;. while a3 , the third power of a , is equivalent to aaa . Coefficients and exponents are thus employed to abbreviate the language of Algebra . Zabc ? What is the equivalent , in Addition , of 2x ? Of 3ax ? Of ...
Σελίδα 7
... equivalent to a - c + b ; for the result will evidently be the same , whether b be first added to a , and c then subtracted ; or c be first subtracted , and b afterwards added . ( 22. ) A polynomial is arranged according to the powers ...
... equivalent to a - c + b ; for the result will evidently be the same , whether b be first added to a , and c then subtracted ; or c be first subtracted , and b afterwards added . ( 22. ) A polynomial is arranged according to the powers ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
acres added Algebraic approximate value Arithmetical Progression Binomial Theorem cent common denominator common difference completing the square component factors Continued Fraction corresponding cube root denotes dividend divisor Equation containing example exponent extracting the square Find a number Find the cube Find the Product Find the Quotient Find the square Find the Sum Find the value Function Geometrical Progression given Equation given fraction given number greater greatest common measure Hence imaginary improper Fraction Inequality integral irrational last term least common multiple less letters logarithm lowest terms method miles monomial multiplied negative number of terms obtained polynomial positive preceding prefixed problem proportion quadratic Quadratic Equations ratio real roots Reduce remainder required root Resolve second equation second member second term side signs changed simplest form solution square rods square root substituted subtracting Surds unknown quantity value of x whole number yards
Δημοφιλή αποσπάσματα
Σελίδα 299 - NB In the following table, in the last nine columns of each page, where the first or leading figures change from 9's to O's, points or dots are introduced instead of the...
Σελίδα 209 - A put four horses, and B as many as cost him 18 shillings a week. Afterwards B put in two additional horses, and found that he must pay 20 shillings a week. At what rate was the pasture hired ? 49.
Σελίδα 105 - Three quantities are said to be in harmonical proportion, when the first is to the third, as the difference between the first and second is to the difference between the second and third.
Σελίδα 85 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Σελίδα 177 - A set out from C towards D, and travelled 7 miles a day. After he had gone 32 miles, B set out from D towards C, and went every day J^ of the whole journey; •and after he had travelled as many days as he went miles in a day, he met A. Required the distance from C to D.
Σελίδα 206 - A hare is 50 leaps before a greyhound, and takes 4 leaps to the greyhound's 3 ; but 2 of the greyhound's leaps are equal to 3 of the hare's ; how many leaps must the greyhound take, to catch the hare?
Σελίδα 80 - What fraction is that, whose numerator being doubled, and denominator increased by 7, the value becomes §; but the denominator being doubled, and the numerator increased by 2, the value becomes f 1 Ans.
Σελίδα 79 - What fraction is that, to the numerator of which if 1 be added, the value will be •£ ; but if 1 be adde.d to the denominator, its value will be | ? Let — denote the fraction.
Σελίδα 60 - AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal.
Σελίδα 244 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log