A Treatise on Algebra |
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Common terms and phrases
algebraic ax² B₁ base binomial coefficients commensurable power common limit constant continued fraction convergent d₁ D₂ degree denominator divide dividend divisor Dk+1 entire numbers equal equations involving exponent expression factors finite number function geometric progression h. c. msr imaginary incommensurable infinite infinitesimal integer integral power letters logarithm mantissa measure modulus monomial multiplied n₁ N₂ negative number NOTE nth root operation pair of equations plat polynomial positive integer positive numbers positive value prime PROB quadratic QUADRATIC EQUATION quadratic surds radical radius of convergence rational remainder result signs simple fraction solve square root subtraction THEOR theorem unit unknown elements V₁ variable vector wherein
Popular passages
Page 338 - 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 49 - 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 47 - 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 358 - Three numbers may be in proportion when the first is to the second as the second is to the third.
Page 51 - 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 41 - If both terms of a fraction be multiplied by the same number, the value of the fraction will remain unchanged.
Page 181 - In a right triangle the square of the hypotenuse equals the sum of the squares of the other two sides or legs.
Page 161 - Jesus was the author and finisher of the faith; to which nothing can be added, and from which nothing can be taken...
Page 234 - The logarithm of a product is the sum of the logarithms of its factors.
Page 404 - 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.