A First Course in Algebra ; A Second Course in Algebra
D.C. Heath, 1908 - Algebra - 405 pages
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added addition algebraic angle arithmetic binomial called changed coefficient common factor Consider containing cube root denominator difference digits distance Divide dividend division divisor equal equation equivalent example EXERCISE Expand exponent expression factor feet figure Find Find the number formulę fraction given given equation gives graph greater Hence hold hour imaginary increased integral involving last term laws length less letter logarithm means method miles Multiply negative Note obtained polynomial positive integer problem progression proportion prove quadratic equation quotient ratio Reduce remainder represented respectively result rule satisfy second term side solution Solve Solve the equation square root Substituting subtract surd term third Transposing triangle twice units unknown numbers Verify Whence write written
Page 42 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 57 - A trinomial is a perfect square if the first and last terms are perfect squares and positive, and the middle term is twice the product of the square roots of the first and last terms (§ 61, p.
Page 37 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Page 81 - In any proportion, the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term.
Page 102 - Divide this remainder by three times the square of the part of the root already found, with two ciphers annexed, and write the quotient as the next figure of the root.
Page 56 - ... the square of the second. _ Again, (a — by = (a — 5) (a — 5) = a2 — 2a6 + 52. (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 first by the second, plus the square of the second.
Page 19 - RULE To subtract one number from another, change the sign of the./ subtrahend and add algebraically.
Page 88 - One quantity is said to vary directly as a second and inversely as a third, when it varies jointly as the second and the reciprocal of the third. Thus...
Page 102 - Multiply the complete divisor by the term of the root last obtained, and subtract the product from the remainder. If...
Page 84 - To Reduce a Fraction to its Lowest Terms. A fraction is said to be in its lowest terms when its numerator and denominator are prime to each other (§ 111).