Elements of Algebra: A Course for Grammar Schools and Beginners in Public and Private Schools |
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12 rods a²b a²b² a²x ab² acres algebraic ax² binomial breadth cents certain number Clearing of fractions coëfficient complete divisor Completing the square contain cost cube root divided dividend divisor or factor dollars equal factors EXPLANATION exponent Extracting the square Find the value Give the principles Give the rule highest common divisor horse lowest common multiple lowest terms m²n² miles mixed quantities monomials multiplied negative quantity number of figures numbers or quantities polynomial positive quantity pounds principle relating PROCESS quadratic equation quan quotient remainder rods second power second term sheep simultaneous equations sold SOLUTION Solve square root subtract tity trial divisor trinomial twice units unknown quantity x²+2xy x²y x²y² x³y xy² xy³ yards ах
Popular passages
Page 67 - 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.
Page 53 - If 18 men can do a piece of work in 90 days, how long will it take one man to do the same ? 7.
Page 142 - 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 138 - ... by dividing the * first term of the remainder by the first term of the divisor.
Page 148 - Separate the number into periods of three figures each, beginning at units. Find the greatest cube in the left-hand period, and write its root for the first figure of the required root.
Page 10 - Equation 5. The distance from Chicago to New York by rail is 980 miles. If a train runs v miles an hour, what is the time required for the run?
Page 142 - Find the greatest square in the left-hand period and write its root for the first figure of the required root. Square this root, subtract the result from the left-hand period, and to the remainder annex the next period for a dividend.
Page 161 - The sum of two numbers is 7, and the sum of their 4th powers is 641.
Page 56 - ... 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.
Page 67 - ... then find how often the first term of the " divisor is contained in the first term of the dividend, and...