## An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |

### No interior do livro

Resultados 1-5 de 5

Página 38

Sum and

+ b2 , a2 +4 ab + 40 % , az — 62 , a ? + 3 ab + 2b2 , a3 + a2 b a 62 - 63 . Ans . ( a

+ b ) 2 ( a − b ) ( a + 2b ) . SECTION II . Addition and Subtraction of Fractions .

Sum and

**Difference**of Fractions . 5. Find the least common multiple of a ? +2 ab+ b2 , a2 +4 ab + 40 % , az — 62 , a ? + 3 ab + 2b2 , a3 + a2 b a 62 - 63 . Ans . ( a

+ b ) 2 ( a − b ) ( a + 2b ) . SECTION II . Addition and Subtraction of Fractions .

Página 48

Moreover , in finding these sums and

multiplied by any number , provided its ... the sum of the first two terms of a

proportion is to the sum of the last two , as the

the ...

Moreover , in finding these sums and

**differences**, each antecedent may bemultiplied by any number , provided its ... the sum of the first two terms of a

proportion is to the sum of the last two , as the

**difference**of the first two terms is tothe ...

Página 84

In either of these cases , the problem is plainly impossible ; and , in the corrected

enunciation , a should be the

the ...

In either of these cases , the problem is plainly impossible ; and , in the corrected

enunciation , a should be the

**difference**of the required numbers , and b the**difference**of the products obtained from multiplying one of the numbers by m andthe ...

Página 158

Find a number such , that if we first add to it 94 , then subtract it from 94 , and

multiply the sum thus obtained by the

13. Find a number such , that if we first add it to a , then subtract it from a , and ...

Find a number such , that if we first add to it 94 , then subtract it from 94 , and

multiply the sum thus obtained by the

**difference**, the product is 8512 . Ans . 18 . a13. Find a number such , that if we first add it to a , then subtract it from a , and ...

Página 189

Find the number and sum of terms of the series of which the first term is 6 , the

last term 796 , and the common

the sum = 32080 . 6. Find r , when a , l , and n are known . a Ans . r = n -1 7. Find

the ...

Find the number and sum of terms of the series of which the first term is 6 , the

last term 796 , and the common

**difference**10 . Ans . The number of terms = 80 ,the sum = 32080 . 6. Find r , when a , l , and n are known . a Ans . r = n -1 7. Find

the ...

### Opinião das pessoas - Escrever uma crítica

Não foram encontradas quaisquer críticas nos locais habituais.

### Outras edições - Ver tudo

An Elementary Treatise on Algebra: To which are Added Exponential Equations ... Benjamin Peirce Visualização integral - 1842 |

An Elementary Treatise on Algebra: To which are Added Exponential Equations ... Benjamin Peirce Visualização integral - 1860 |

An Elementary Treatise on Algebra: To which are Added Exponential Equations ... Benjamin Peirce Visualização integral - 1858 |

### Palavras e frases frequentes

affected approximate values arithmetical becomes body called coefficient consequently contained continued fraction continued product Corollary corresponding decimal denominator denote derivative difference Divide dividend division Elimination equal roots equation 23 EXAMPLES exponent expression Extract factor figure Find Find the greatest Find the square Find the sum follows fourth fraction Free function gallons given equation gives greater greatest common divisor Hence imaginary increased infinite integral known last term least less letter limit logarithm means method monomials multiplied negative number of real number of terms obtained places polynomial positive Problem progression Proof proportion putting quotient ratio real roots reduced remainder result reverse row of signs Solution Solve the equation square root substitution subtracted successive suppressed Theorem third true unity unknown quantity variable whence wine

### Passagens conhecidas

Página 46 - In any proportion the terms are in proportion by Composition and Division ; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.

Página 190 - One hundred stones being placed on the ground in a straight line, at the distance of 2 yards from each other, how far will a person travel who shall bring them one by one to a basket, placed at 2 yards from the first stone ? Ans.

Página 266 - The logarithm of the quotient is equal to the logarithm of the dividend, diminished by the logarithm of the divisor.

Página 61 - A term may be transposed from one member of an equation to the other by changing its sign.

Página 184 - I = the last term, r = the common difference, n = the number of terms, S = the sum of all 'the terms.

Página 53 - There is a number consisting of two digits, the second of which is greater than the first, and if the number be divided by the sum of its digits, the quotient is 4...

Página 30 - The 2d line of col. 1 is the 1st line multiplied by 7 in order to render its first term divisible by the first term of the new divisor ; the remainder of the division is the 4th line of col.

Página 125 - Subtract the square of the root from the first period, and to the remainder bring down the second period for a dividend. III. Double the root already found and place it on the left for a divisor.

Página 230 - Rule. 324. An equation of any degree whatever cannot have a greater number of positive roots than there are variations in the signs of Us terms, nor a greater number of negative roots than there are permanences of these signs.

Página 45 - Likewise, the sum of the antecedents is to their difference, as the sum of the consequents is to their difference. Ratio of Sum of two first Terms to that of two last. Moreover, in finding...