## A Treatise on Elementary Algebra |

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added Algebra arithmetic called causes CHAPTER coefficient common factor constant contains cost cube denominator determined difference digits Divide Dividend division divisor double effect equal equation equivalent examples explained expressions factors Find the numbers find the value four fourth fraction Geometrical give given greater half Hence increased Insert involving less logarithm means method miles minutes Multiply negative NOTE obtain original piece positive proceed progression proportion prove Quadratic Equations quantity quotient ratio Reduce remainder represent respectively result rule second term shew shillings sides simple Simplify solve the equations square root stand Subtracting suppose surds third twice unit unknown symbol varies whole

### Popular passages

Page 292 - The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken and any equimultiples whatsoever of the second and fourth : " If the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth...

Page 293 - ... multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth: or, if the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth...

Page 74 - If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered.

Page 141 - Then divide the first term of the remainder by the first term of the divisor...

Page 251 - В working together take to do the work ? Let x represent the number of days A and B will take. Then - will represent the part of the work they do daily.

Page 328 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 326 - Show that the amounts of a sum of money put out at Compound Interest form a series in geometrical progression. 25. A certain number consists of three digits in geometrical progression. The sum of the digits is 13, and if 792 be added to the number, the digits will be inverted. Find the number. 26. The population of a county increases in 4 years from 10000 to 14641 ; what is the rate of increase ? XXXII.

Page 273 - Find the circumference of each wheel. 60. A person rows from Cambridge to Ely (a distance of 20 miles) and back again in 10 hours, and finds he can row 2 miles against the stream in the same time that he rows 3 miles with it. Find the rate of the stream, and the time of his going and returning.

Page 327 - The logarithm of a product is equal to the sum of the logarithms of its factors.

Page 271 - A man sculls down a stream, which runs at the rate of 4 miles an hour, for a certain distance in 1 hour and 40 minutes. In returning it takes him 4 hours and 15 minutes to arrive at a point 3 miles short of his starting-place. Find the distance he pulled down the stream and the rate .of his pulling.