Algebra for Beginners |
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... Common Factor , Lowest Common Multiple , Involution , Evolution , and the various types of Frac- tions , before making some effort to arouse his interest and intelligence through the medium of easy equations and problems . Moreover ...
... Common Factor , Lowest Common Multiple , Involution , Evolution , and the various types of Frac- tions , before making some effort to arouse his interest and intelligence through the medium of easy equations and problems . Moreover ...
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... COMMON FACTOR , LOWEST COMMON MULTIPLE OF SIMPLE EXPRESSIONS . FRACTIONS INVOLVING PAGE 1 7 11 16 19 21 31 38 42 44 52 59 64 SIMPLE EXPRESSIONS ONLY . XIII . SIMULTANEOUS EQUATIONS . 71 77 XIV . PROBLEMS LEADING TO SIMULTANEOUS ...
... COMMON FACTOR , LOWEST COMMON MULTIPLE OF SIMPLE EXPRESSIONS . FRACTIONS INVOLVING PAGE 1 7 11 16 19 21 31 38 42 44 52 59 64 SIMPLE EXPRESSIONS ONLY . XIII . SIMULTANEOUS EQUATIONS . 71 77 XIV . PROBLEMS LEADING TO SIMULTANEOUS ...
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Henry Sinclair Hall, Samuel Ratcliffe Knight. CHAP . XVIII . HIGHEST COMMON FACTOR OF COMPOUND EXPRESSIONS XIX . MULTIPLICATION AND DIVISION OF FRACTIONS PAGE 116 122 XX . LOWEST COMMON MULTIPLE OF COMPOUND EXPRESSIONS 126 XXI . ADDITION ...
Henry Sinclair Hall, Samuel Ratcliffe Knight. CHAP . XVIII . HIGHEST COMMON FACTOR OF COMPOUND EXPRESSIONS XIX . MULTIPLICATION AND DIVISION OF FRACTIONS PAGE 116 122 XX . LOWEST COMMON MULTIPLE OF COMPOUND EXPRESSIONS 126 XXI . ADDITION ...
Page 71
... common factor of two or more algebraical expressions is the expression of highest dimen- sions [ Art . 68 ] which divides each of them without remainder . The abbreviation ... Lowest Common Multiple of Simple Expressions . 91. DEFINITION .
... common factor of two or more algebraical expressions is the expression of highest dimen- sions [ Art . 68 ] which divides each of them without remainder . The abbreviation ... Lowest Common Multiple of Simple Expressions . 91. DEFINITION .
Page 72
... lowest common multiple of two or more algebraical expressions is the expression of lowest dimen- sions which is divisible by each of them without remainder . The abbreviation L.C.M. is sometimes used instead of the words lowest common ...
... lowest common multiple of two or more algebraical expressions is the expression of lowest dimen- sions which is divisible by each of them without remainder . The abbreviation L.C.M. is sometimes used instead of the words lowest common ...
Common terms and phrases
a²+b² acres algebraical sum Arithmetic arranged beginner cents CHAPTER coefficient Completing the square compound expressions convenient cube root descending powers difference digits dimes Divide division divisor Elementary Algebra equal examples see Elementary EXAMPLES XVII exceeds Find the highest Find the lowest find the number Find the product Find the square Find the sum find the value following expressions given expressions half-dollars Hence highest common factor lowest common denominator lowest common multiple lowest terms miles an hour miles per hour minute-hand Multiply negative numerator and denominator obtain quadratic equation quotient Reduce to lowest remainder removing brackets Resolve into factors result rule of signs side simple equation simultaneous equations Solve the equations square root Subtract Transposing trinomial unknown quantities walk whence write yards α α
Popular passages
Page 91 - The product is a2+2a6-}-62; from which it appears, that 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.
Page 107 - Conversely, the difference of the squares of any two quantities is equal to the product of the sum and the difference of the two quantities.
Page 89 - It is evident from the Rule of Signs that (1) no even power of any quantity can be negative; (2) any odd power of a quantity will have the same sign as the quantity itself. NOTE. It is especially worthy of notice that the square of every expression, whether positive or negative, is positive.
Page 54 - Transpose all the terms containing the unknown quantity to one side of the equation, and the "known quantities to the other.