# A Complete Course in Algebra

Leach, Shewell, and Sanborn, 1885

### Hva folk mener -Skriv en omtale

Vi har ikke funnet noen omtaler på noen av de vanlige stedene.

### Innhold

 DEFINITIONS AND NOTATION 1 ADDITION 15 USE OF PARENTHESES 24 DIVISION 36 FORMULÆ 43 FACTORING 51 LOWEST COMMON MULTIPLE 75 SIMPLE EQUATIONS 106
 THE THEORY OF EXPONENTS 180 RADICALS 190 QUADRA RATIC EQUATIONS 211 PROBLEMS INVOLVING QUADRATIC EQUATIONS 223 EQUATIONS IN THE QUADRATIC FORM 228 THEORY OF QUADRATIC EQUATIONS 246 RATIO AND PROPORTION 255 ARITHMETICAL PROGRESSION 264

 SIMPLE EQUATIONS CONTAINING Two UNKNOWN 132 MORE THAN 144 TITY 158 EvoluTJON 165
 GEOMETRICAL PROGRESSION 273 BINOMIAL THEOREM 282 ANSWERS 307 Opphavsrett

### Populære avsnitt

Side 166 - Arts. 200 and 201 we derive the following rule : Extract the required root of the numerical coefficient, and divide the exponent of each letter by the index of the root.
Side 213 - In any trinomial square (Art. 108), the middle term is twice the product of the square roots of the first and third terms...
Side 44 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Side 49 - The exponent of b in the second term is 1, and increases by 1 in each succeeding term.
Side 255 - The first and fourth terms of a proportion are called the extremes; and the second and third terms the means. Thus, in the proportion a : b = с : d, a and d are the extremes, and b and с the means.
Side 258 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: b = c: d = e:f.
Side 5 - If equal quantities be divided by the same quantity, or equal quantities, the quotients will be equal. 5. If the same quantity be both added to and subtracted from another, the value of the latter will not be changed.
Side 44 - The square of the sum of two quantities is equal to the SQuare of the first, plus twice the product of the first by the second, plus the square of the second.
Side 107 - Any term may be transposed from one side of an equation to the other by changing its sign. For, consider the equation x + a = b.
Side 227 - A' courier proceeds from P to Q in 14 hours. A second courier starts at the same time from a place 10 miles behind P, and arrives at Q at the same time as the first courier. The second courier finds that he takes half an hour less than the first to accomplish 20 miles. Find the distance from P to Q.