## A Treatise on Algebra |

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according to Art algebraic arithmetical arithmetical progression binomial cents Charles Anthon coefficient Completing the square contrary sign cube root cubic equation decimal deduce denotes Divide the number dividend divisible equal equation containing example exponent expression extracting the square factors find the values following R U L four quantities fourth power fourth root fraction geometrical geometrical progression given equation greater greatest common divisor Hence inder inequality infinite series last term less letters taken LL.D means of logarithms method miles monomial multiplied negative nth root number of permutations number of terms º º obtain order of differences original equation polynomial positive preceding Prob problem proportion quadratic equations quotient radical quantities ratio Reduce remainder represent Required the number Required the square result second degree second term Sheep extra solved square root subtract surd theorem unity unknown quantity Whence whole number

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Page 32 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.

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Page 189 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.

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Page 43 - 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.