Allyn and Bacon, 1915 - Algebra - 373 pages
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added addition algebra amount arithmetic average base binomial called changing CHAPTER Check coefficient common contains denominator difference digits dimensions distance divided dividend division divisor equal equation Example exponent expression factor feet figure Find the numbers formula fraction gain give given graph greater Hence Illustrative inches increased indicated integers interest invested involved length less letters means miles per hour multiply negative numbers NOTE obtained operations ORAL EXERCISES pair Perform polynomial positive pounds preceding Principle problem proportion quotient ratio rectangle Reduce remainder represent respectively result rods Rule satisfy sides similar Solution Solve square root substituting subtract surd symbols third triangle trinomial twice units unknown weight wide width write WRITTEN EXERCISES zero
Page 245 - Divide the first term of the remainder by twice the first term of the root, and add the quotient to the part of the root already found, and also to the trial-divisor.
Page 190 - 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 108 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Page xii - ... a. A rectangular solid is a figure of three dimensions having six rectangular faces meeting each other at right angles. The three dimensions are length, width, and height. The figure below is a rectangular solid: l is the length, w is the width, and h is the height.
Page 31 - Any term may be transposed from one member of an equation to the other, provided its sign be changed.
Page 109 - The square of the difference of two numbers is equal to the square of the first, minus twice the product of the first and the second, plus the square of the second.
Page 151 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.
Page 325 - An open box is made from a square piece of tin by cutting out a 5 inch square from each corner and turning up the sides. How large is the original square, if the box contains 180 cubic inches?
Page 291 - The second value is in this case not to be taken, for it is inadequate; people do not approve of negative roots.
Page 189 - In any proportion, the product of the means equals the product of the extremes.