## Academic Algebra |

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abē added algebra arithmetic base binomial called CHAPTER circle coefficient common considered contain cost cube decimal denominator difference digits Divide division divisor equals Evaluate Examples Exercise exponent expression factor figure Find the number find the value following equations formula four fraction given graph half Hence hour inches increased indicated integral length less letters logarithm lowest means miles monomial Multiply negative oral places polynomial positive Problems quadratic quantity quotient radius ratio rectangle Reduce remainder represent result side Similarly Simplify Solve the equation Solve the following square root Substituting subtract surds third triangle twice weight write written zero

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Page 274 - 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. 5. Double the whole root already found for a new divisor, and continue the operation as before, until all the periods are brought down. NOTE.

Page 202 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.

Page 275 - ... is equal to the square root of the difference of the squares of the hypotenuse and the other leg.

Page 361 - Hence, if a given number contains a decimal, we separate it into periods of three figures each, beginning at the decimal point and proceeding toward the left for the integral part, and toward the right for the decimal. The last period of the decimal must contain three figures, zeros being annexed when necessary.

Page 208 - DB? 32. If a perpendicular is let fall from the vertex of the right angle upon the hypotenuse of a right triangle, it divides the right triangle into two triangles similar to the original triangle and to each other. In the given figure, if AF= 5 and CF= 3.5, what is the length of FB ? 33. In the same figure, if AB = 7.45 and А С = 6.1, what is the length of AF ? 34.

Page 215 - If necessary, multiply the given equations by such numbers as will make the coefficients of one of the unknown quantities in the resulting equations of equal absolute value.

Page 275 - In a right triangle the square of the hypotenuse equals the sum of the squares of the other two sides or legs.

Page 86 - Divide the first term of the dividend by the first term of the divisor.

Page 82 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first multiplied by the second, plus the square of the second.

Page 275 - In a right triangle, the side opposite the right angle is called the hypotenuse and is the longest side.