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3d root according affected approximate values arranged binomial called changed coefficient commensurable roots common difference contained continued fraction continued product Corollary corresponding deficient terms Demonstration denote difference Divide dividend divisible elimination equal equal roots equation 23 equation becomes EXAMPLES exponent Extract factor figure Find Find the 3d Find the 4th Find the square Find the sum follows fourth fraction given equation gives greater greatest common divisor Hence highest imaginary roots increased integer known last term least less letter limit logarithm means method multiplied negative number of terms obtained places polynomial positive roots preceding Problem proportion quotient radical quantities ratio real root reduced remainder represented result reverse rule satisfied Second Degree Solution Solve the equation square root substitution subtract successive Theorem third tion unity unknown quantity whence
Page 8 - Members shall be entitled to take from the Library one folio, or two quarto volumes, or four volumes of any lesser fold, with the plates belonging to the same, upon having them recorded by the Librarian, or Assistant Librarian, and promising to make good any damage they sustain, while in their possession, and to replace the same if lost, or pay the sum fixed by the Library Committee.
Page 47 - In any proportion the terms are in proportion by Composition and Division ; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
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Page 147 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 54 - There is a number consisting of two digits, the second of which is greater than the first, and if the number be divided by the sum of its digits, the quotient is 4...
Page 201 - One hundred stones being placed on the ground in a straight line, at the distance of 2 yards from each other, how far will a person travel who shall bring them one by one to a basket, placed at 2 yards from the first stone ? Ans.
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