An Introduction to Algebra: Being the First Part of a Course of Mathematics, Adapted to the Method of Instruction in the American Colleges |
Common terms and phrases
12 rods abscissa added algebraic antecedent applied arithmetical arithmetical progression become binomial calculation called co-efficients common difference Completing the square compound quantity consequent contained cube root cubic equation curve diminished Divide the number dividend division divisor dollars equa Euclid exponents expression extracting factors fourth fraction gallons geometrical geometrical progression given quantity greater greatest common measure Hence inches infinite series inverted last term length less letters manner mathematics Mult multi multiplicand multiplied or divided negative quantity notation nth power nth root number of terms ordinate parallelogram perpendicular positive preceding prefixed principle Prob proportion proposition quadratic equation quan quotient radical quantities radical sign ratio reciprocal Reduce the equation remainder rule sides square root substituted subtracted subtrahend supposed supposition third tion tities Transposing twice unit unknown quantity varies
Popular passages
Page 59 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 33 - We have seen that multiplying by a whole number, is taking the multiplicand as many times as there are units in the multiplier.
Page 165 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...
Page 190 - It may undergo any change which will not affect the equality of the ratios ; or which will leave the product of the means equal to the product of the extremes.
Page 72 - If four magnitudes are in proportion, the product of the two extremes is equal to the product of the two means.
Page 53 - Multiply each numerator into all the denominators except its own for a new numerator ; and all the denominators together, for a common denominator.
Page 49 - The value of a fraction, is the quotient of the numerator divided by the denominator.
Page 124 - ... 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 295 - The operation consists in repeating the multiplicand as many times as there are units in the multiplier.
Page 154 - FIND THE VALUE OF ONE OF THE UNKNOWN QUANTITIES IN EACH OF THE EQUATIONS, AND FORM A NEW EQUATION BY MAKING ONE OF THESE VALUES EQUAL TO THE OTHER.