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 pagine |
Dall'interno del libro
Risultati 1-5 di 26
Pagina vii
... COMMON MULTIPLE.— 27 ... 40 . A Composite and a Prime Quantity , ( 54 ) ... Common Measure of Two or more Quantities , ( 62 ) .— Greatest Common Measure of Two or More Quantities ... Denominator , and vice versa , ( ANALYSIS OF CONTENTS . vii.
... COMMON MULTIPLE.— 27 ... 40 . A Composite and a Prime Quantity , ( 54 ) ... Common Measure of Two or more Quantities , ( 62 ) .— Greatest Common Measure of Two or More Quantities ... Denominator , and vice versa , ( ANALYSIS OF CONTENTS . vii.
Pagina viii
... Common Measure may often be discovered , ( 85 ) . - RULE IX . To Reduce a Fraction to its Lowest Terms , ( 86 ) . When Two or more Fractions are said to have a Common Denominator . -How Fractions may be reduced , mentally , to a Common ...
... Common Measure may often be discovered , ( 85 ) . - RULE IX . To Reduce a Fraction to its Lowest Terms , ( 86 ) . When Two or more Fractions are said to have a Common Denominator . -How Fractions may be reduced , mentally , to a Common ...
Pagina 45
... denominator by the same common measure . This simplifies the fraction , without altering its value , ( 81 ) . A monomial common measure may usually be known by inspection . Thus to reduce the Fraction 4a2b 6ac - 8a2x It is obvious that ...
... denominator by the same common measure . This simplifies the fraction , without altering its value , ( 81 ) . A monomial common measure may usually be known by inspection . Thus to reduce the Fraction 4a2b 6ac - 8a2x It is obvious that ...
Pagina 46
... COMMON DENOMINATOR . ( 87. ) a2 - b2 to its lowest terms . ( 57 ) . a3 + b3 a - b a2 - ab + b2 a1 - x4 a5 - a3x2 to its lowest terms . a2 + x2 Ans . a3 x2 - a2 to its lowest terms . x2 + 2ax + a2 x - a Ans . x + a a3 - ay2 a2 + 2ay + y2 ...
... COMMON DENOMINATOR . ( 87. ) a2 - b2 to its lowest terms . ( 57 ) . a3 + b3 a - b a2 - ab + b2 a1 - x4 a5 - a3x2 to its lowest terms . a2 + x2 Ans . a3 x2 - a2 to its lowest terms . x2 + 2ax + a2 x - a Ans . x + a a3 - ay2 a2 + 2ay + y2 ...
Pagina 47
... COMMON DENOMINATOR . ( 87. ) Two or more Fractions are said to have a common denomina- tor , when they have the same quantity for a denominator . ах Thus and a - x a + b a + b have a common denominator . Two or more Fractions may often ...
... COMMON DENOMINATOR . ( 87. ) Two or more Fractions are said to have a common denomina- tor , when they have the same quantity for a denominator . ах Thus and a - x a + b a + b have a common denominator . Two or more Fractions may often ...
Sommario
1 | |
9 | |
10 | |
16 | |
24 | |
25 | |
27 | |
38 | |
135 | |
137 | |
142 | |
170 | |
177 | |
178 | |
186 | |
204 | |
53 | |
70 | |
76 | |
82 | |
88 | |
91 | |
94 | |
101 | |
111 | |
121 | |
130 | |
211 | |
221 | |
232 | |
236 | |
243 | |
245 | |
249 | |
251 | |
274 | |
305 | |
Altre edizioni - Visualizza tutto
Algebra for High Schools and Colleges: Containing a Systematic Exposition ... James B. Dodd Visualizzazione completa - 1860 |
Algebra for High Schools and Colleges: Containing a Systematic Exposition ... James B. Dodd Visualizzazione completa - 1854 |
Parole e frasi comuni
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
Brani popolari
Pagina 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...
Pagina 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.
Pagina 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.
Pagina 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.
Pagina 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.
Pagina 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?
Pagina 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.
Pagina 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.
Pagina 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.
Pagina 244 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log