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added affected quadratic equation Algebra arithmetical mean arithmetical progression binomial cents Clearing of fractions coefficient common difference completing the square cube root dividend division dollars EATON'S Eeduce equal equivalent fractions equivalent radicals examples Expand extracting the square fifth Find the cube Find the factors Find the formula Find the fourth Find the greatest Find the least Find the square Find the sum Find the value Find two numbers geometrical mean geometrical progression greatest common divisor Hence horse improper fraction integral quantity last term least common denominator least common multiple less lowest terms minus monomial Multiply negative NOTE number of terms obtain OPERATION perfect square polynomial proportion quan quotient radical sign ratio reduced gives remainder required root RULE second term sheep square root Subtract Theorem third tities Transposing trial divisor unknown quantity x2 f yards
Σελίδα 65 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Σελίδα 44 - 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.
Σελίδα 94 - D. The distance from A to D is 34 miles ; the distance from A to B is to the distance from C to D as 2 to 3 ; and £ of the distance from A to B, added to one half the distance from C to D, is three times the distance from .B to C.
Σελίδα 44 - ... the square of the second. In the second case, we have (a — &)2 = a2 — 2 ab + b2. (2) That is, the square of the difference of two quantities is equal to the square of the first, minus twice the product of the two, plus the square of the second.
Σελίδα 81 - RATIO is the relation of one quantity to another of the same kind; or, it is the quotient which arises from dividing one quantity by another of the same kind.
Σελίδα 202 - Hence -,- = -76" dn that is a" : b" = c" : dn THEOREM IX. 23 1 If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d...
Σελίδα 81 - Thus, the ratio of a to b is written, a : b, or v ; read, a is to b, or a divided by b. 105. PROPORTION is an equality of ratios. Four quantities are proportional when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Σελίδα 72 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.