## The Normal Elementary Algebra: Containing the First Priniples of the Science, Developed with Conciseness Ad Simplicity. Rev. Ed |

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added algebraic arithmetical binomial called cents changed coefficient common common divisor common multiple complete condition consists contain cost cube root denominator difference Divide dividend divisible divisor equals equation evident EXAMPLES exponent expression extracting factors figures Find the value find x formula four fourth fraction give Given greater hence highest hour increased indicates integral length less letters lowest common means method miles minus Multiply negative obtain OPERATION period persons polynomial positive principles problem progression Prove quadratic quotient radical raising ratio received Reduce remainder represent required the number result rule Rule.-I second term simple SOLUTION Solve square root substituting subtracting Suppose taken tens term THEOREM third transposing travels trial divisor twice units unknown quantity whence write

### Popular passages

Page 172 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.

Page 53 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first multiplied by the second, plus the square of the second.

Page 218 - In a parcel which contains 24 coins of silver and copper, each silver coin is worth as many cents as there are copper coins, and each copper coin is worth as many cents as there are silver coins ; and the whole is worth 2 dollars and 16 cents.

Page 172 - Multiply the complete divisor by the second figure of the root and subtract the product from the dividend.

Page 27 - Addition is the process of finding the sum of two or more numbers.

Page 119 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...

Page 315 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 26 - 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. 6. If a quantity be both multiplied and divided by another, the value of the former will not be changed. 7. Quantities which are equal to the same quantity are equal to each other.

Page 228 - Find two numbers such that their difference added to the difference of their squares shall be 150, and their sum added to the sum of their squares shall be 330. 4. Find two numbers whose sum is equal to their product and also to the difference of their squares.

Page 45 - ... with an exponent equal to its exponent in the dividend minus its exponent in the divisor, omitting those letters whose exponents become zero.