## An Elementary Treatise on Algebra: Theoretical and Practical ... |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

An Elementary Treatise on Algebra: Theoretical and Practical Horatio Nelson Robinson No preview available - 2016 |

### Common terms and phrases

3d term added addition algebraic amount appear apply arithmetical Assume called cent CHAPTER Clearing of fractions coefficients common measure compound containing cube root denominator determined difference distance Divide division divisor dollars double equal equation equation becomes evolution EXAMPLES expand exponent expressed extract extremes factors figure find the values four fourth fraction Given gives greater harmonical Hence hour infinite interest involved known last term less letter logarithm manner mean method miles minus Multiply negative numbers Observe obtain operation persons practical preceding principle problem proportion quadratic question quotient ratio received Reduce relation remainder represent Required resolved result rule shillings sides simple solution square root substitute subtract suppose taken Theorem third three numbers tion Transpose travelled true unit unity unknown quantity values of x worth

### Popular passages

Page 11 - If equal quantities be divided by the same, or by 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 altered.

Page 33 - To reduce a mixed quantity to an improper fraction, multiply the integer by the denominator of...

Page 195 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means as 7 to 3. What are the numbers?

Page 184 - If the sum of an arithmetical series is 567, the first term 7, and the common difference 2; what is the number of terms?

Page 202 - There are two numbers, which are to each other, as 16' to 9, and 24 is a mean proportional between them. What are the numbers ? Ans. 32 and 18. 13. The sum of two numbers is to their difference as 4 to 1, and the sum of their squares is to the greater as 102 to 5. What are the numbers 1 Ans.

Page 145 - Prob. 9. It is required to divide the number 18 into two such parts, that the squares of those parts may be to each other as 25 to 16.

Page 42 - Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.

Page 155 - Any trinomial can be separated into two binomial factors, when the extremes are squares and positive, and the middle term is twice the product of the square roots of the extremes.

Page 191 - When three magnitudes, a, b, c, have the relation of a: c: : a—b : b—c ; that is, the first is to the third as the difference between the first and second is to the difference between the second and third, the quantities a, b, c, are said to be in harmonical proportion.

Page 143 - A and B, set out to meet each other; A leaving the town C at the same time that B left D. They travelled the direct road...