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added addition algebraic altitude arithmetical base binomial called cents Check coefficient common complete containing decimal denominator difference digits distance divided division divisor dollars equal equation example EXERCISES exponent expression fact factor feet figure Find the number four fractions geometrical given gives graph greater Hence illustrated imaginary inches indicated integers interest involving length less letter linear logarithms means method miles miles per hour monomial Multiply negative NOTE obtained operations ORAL EXERCISES original parentheses performed polynomial positive preceding principal problem progression quadratic quotient radical rational represent respectively result Rule satisfy side Simplify Solution Solve square root Substituting subtraction symbols third travels triangle twice unknown write zero
Page 464 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Page 103 - The product of two binomials having a common term equals the square of the common term, plus the algebraic sum of the unlike terms multiplied by the common term, plus the algebraic product of the unlike terms.
Page 472 - Given that the area of a circle varies as the square of its radius...
Page 474 - The logarithm of any number to a given base is the index of the power to which the base must be raised in order to equal the given number.
Page 71 - The Second Power of a number is the product obtained by using the number twice as a factor. Thus, 16 is the second power of 4, since 4x4-- 16.
Page 81 - That is, the exponent of a letter in the quotient is equal to its exponent in the dividend minus its exponent in the divisor. For example, — = a*~".
Page 478 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.
Page 240 - ... to the remainder the next period for a new dividend. Double the part of the root already found for a new trial divisor and proceed as before until the desired number of digits of the root have been found.