High School Algebra: Embracing a Complete Course for High Schools and Academies |
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a²+2ab+b² a²b² a²x a²x² ab² added ALGEBRA arithmetical means arithmetical progression ax² binomial binomial theorem bushels cents Clearing of fractions coëfficient complete divisor cube root denominator digits divided dividend division EXAMPLES EXPLANATION exponent expressed Extracting the square Find the square Find the sum Find the value Find two numbers geometrical mean geometrical progression geometrical series Hence highest common divisor horse inequality integral last term logarithms lowest common multiple mantissa miles mixed quantities multiplied negative quantity number of terms obtained partial fractions polynomial positive quantity PRINCIPLE PROCESS proportion Quadratic Equation quotient ratio Reduce remainder result second power second term SOLUTION square root subtract third term three numbers Transposing traveled trial divisor trinomial twice units unknown quantity x²y x²y² xy²
Popular passages
Page 179 - Then divide the first term of the remainder by the first term of the divisor...
Page 116 - Subtract the numerator of the subtrahend from the numerator of the minuend, and place the difference over the common denominator.
Page 183 - Add to the trial divisor the figure last found, multiply this complete divisor by the figure of the root found, subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Page 190 - ... by the second part, and also the square of the second part. Their sum will be the complete divisor. Multiply the complete divisor by the second part of the root, and subtract the product from the dividend. Continue thus until all the figures of the root have been found.
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.
Page 182 - Separate the number into periods of two figures each, beginning at units. Find the greatest square in the left-hand period and write its root for the first figure of the required root.
Page 36 - AXIOM is a self-evident truth ; such as, — 1. Things which are equal to the same thing, are equal to each other. 2. If equals be added to equals, the sums will be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals be added to unequals, the sums will be unequal.
Page 357 - The number of deaths in a besieged garrison amounted to 6 daily ; and allowing for this diminution, their stock of provisions was sufficient to last 8 days. But on the evening of the sixth day, 100 men were killed in a sally, and afterwards the mortality increased to 10 daily. Supposing the...
Page 51 - 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.
Page 307 - Two or more inequalities are said to subsist in the same sense when the first member is the greater or the less in both. Thus, a > b and c> d subsist in the same sense.