# A Short Course in Higher Algebra: For Academies, High Schools, and Colleges

Leach, Shewell, and Sanborn, 1889 - 426 sider

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### Innhold

 DEFINITIONS AND NOTATION 1 ADDITION 15 USE OF PARENTHESES 24 DIVISION 36 FORMULÆ 44 FACTORING 51 LOWEST COMMON MULTIPLE 75 SIMPLE EQUATIONS 106
 EQUATIONS IN THE QUADRATIC Form 228 THEORY OF QUADRATIC EQUATIONS 247 INEQUALITIES 256 THE THEORY OF LIMITS 263 VARIATION 276 GEOMETRICAL PROGRESSION 289 HARMONICAL PROGRESSION 298 THE THEOREM OF UNDETERMINED COEFFICIENTS 306

### 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 269 - In any proportion the terms are in proportion by Composition; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term.
Side 129 - A person has a hours at his disposal. How far may he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour ? 43.
Side 267 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D; and read, A is to B as C to D.
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 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.
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 136 - Find the value of one of the unknown quantities, in terms of the other and known quantities...