## A Treatise on Algebra |

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### Contents

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### Common terms and phrases

added approach argument base coefficients combinations commensurable common constant continued convergents denominator derivative divide dividend division divisor entire equal equation example exponent expression factors figures finite four fraction function given gives greater h. c. msr imaginary increasing infinite infinitesimal integers involving larger less letters limit logarithm measure method multiplied negative NOTE operation pair places polynomial positive positive value possible prime PROB quadratic quotient ratio reader reduced relations remainder represented result roots satisfy signs simple smaller solution solve sought square statements subtract successive surds taken THEOR things third tion true unit unknown elements variable vector wherein write

### Popular passages

Page 342 - The fore-wheel of a carriage makes 6 revolutions more than the hind- wheel in going 120 yards; but if the circumference of each wheel be increased one yard, it will make only 4 revolutions more than the hind-wheel in the same distance.

Page 51 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.

Page 49 - IF the first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second, as the third is to the fourth...

Page 53 - In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces it.

Page 43 - If both terms of a fraction be multiplied by the same number, the value of the fraction will remain unchanged.

Page 162 - The circumference of a circle is the limit which the perimeters of regular inscribed and circumscribed polygons approach when the number of their sides is increased indefinitely ; and the area of the circle is the limit of the areas of these polygons.

Page 183 - In a right triangle the square of the hypotenuse equals the sum of the squares of the other two sides or legs.

Page 163 - Jesus was the author and finisher of the faith; to which nothing can be added, and from which nothing can be taken...

Page 61 - 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 236 - The logarithm of a product is the sum of the logarithms of its factors.