A Treatise on Algebra |
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Other editions - View all
Common terms and phrases
added addition approach argument base coefficients combinations commensurable common constant continued convergents d₂ denominator derivative direction 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 multiplied negative NOTE operation opposite pair places polynomial positive positive value possible prime PROB quotient rational reader reduced relations remainder represented result reversals roots satisfy signs simple smaller solution solve sought square stand statements subtraction successive surds taken THEOR things third true unit unknown elements variable vector wherein write
Popular passages
Page 336 - 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 47 - 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 45 - 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 356 - Three numbers may be in proportion when the first is to the second as the second is to the third.
Page 49 - 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 39 - If both terms of a fraction be multiplied by the same number, the value of the fraction will remain unchanged.
Page 179 - In a right triangle the square of the hypotenuse equals the sum of the squares of the other two sides or legs.
Page 159 - Jesus was the author and finisher of the faith; to which nothing can be added, and from which nothing can be taken...
Page 232 - The logarithm of a product is the sum of the logarithms of its factors.
Page 402 - The interior angles of an irregular polygon are in arithmetical progression ; the least angle is 120°, and the common difference 5°. Find the number of sides.
Bibliographic information
| Title | A Treatise on Algebra |
| Author | James Edward Oliver |
| Edition | 2 |
| Publisher | D.F. Finch, 1887 |
| Length | 412 pages |
| Export Citation | BiBTeX EndNote RefMan |