An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |
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... FRACTIONS AND PROPORTIONS . SECTION I. Reduction of Fractions . II . Addition and Subtraction of Fractions . III . Multiplication and Division of Fractions . IV . Proportions . 43 11828 26 26 38 40 50 5555 50 59 65 • 85 90 CHAPTER III ...
... FRACTIONS AND PROPORTIONS . SECTION I. Reduction of Fractions . II . Addition and Subtraction of Fractions . III . Multiplication and Division of Fractions . IV . Proportions . 43 11828 26 26 38 40 50 5555 50 59 65 • 85 90 CHAPTER III ...
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... FRACTIONS . 248 EXPONENTIAL EQUATIONS AND LOGARITHMS . SECTION I. Exponential Equations . • II . Nature and Properties of Logarithms . III . Common Logarithms and their Uses . 263 266 270 ALGEBRA . CHAPTER I. FUNDAMENTAL PROCESSES OF ...
... FRACTIONS . 248 EXPONENTIAL EQUATIONS AND LOGARITHMS . SECTION I. Exponential Equations . • II . Nature and Properties of Logarithms . III . Common Logarithms and their Uses . 263 266 270 ALGEBRA . CHAPTER I. FUNDAMENTAL PROCESSES OF ...
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... + 3 y6 | x2 - 3 y3 + 10 y4 3 y5 + 3 y2 + 3y3 9 y + 3y 10 y2 +3 y3 2 y +6 y2 by ' + 1 | 2o . y | x2 — 3 y x y3 3 +3 y Ans . y2 x3-3 y3 | x2 . y +3 y 2 3 Terms of a fraction may be multiplied or divided by CH . I. § V. ] 25 DIVISION .
... + 3 y6 | x2 - 3 y3 + 10 y4 3 y5 + 3 y2 + 3y3 9 y + 3y 10 y2 +3 y3 2 y +6 y2 by ' + 1 | 2o . y | x2 — 3 y x y3 3 +3 y Ans . y2 x3-3 y3 | x2 . y +3 y 2 3 Terms of a fraction may be multiplied or divided by CH . I. § V. ] 25 DIVISION .
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... fraction ; its dividend is called the numerator of the fraction , and its divisor the de- nominator of the fraction ... FRACTIONS AND PROPORTIONS Reduction of Fractions.
... fraction ; its dividend is called the numerator of the fraction , and its divisor the de- nominator of the fraction ... FRACTIONS AND PROPORTIONS Reduction of Fractions.
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... fraction is said to be in its lowest terms . A fraction is , consequently , reduced to its lowest terms , by dividing its terms by their greatest com- mon factor or divisor . 57. Problem . To find the greatest common di- visor of ...
... fraction is said to be in its lowest terms . A fraction is , consequently , reduced to its lowest terms , by dividing its terms by their greatest com- mon factor or divisor . 57. Problem . To find the greatest common di- visor of ...
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126 become zero 3d root arithmetical progression coefficient commensurable roots common difference contained continued fraction continued product Corollary deficient terms denote derivative Divide dividend division equal roots equal to zero equation x² factor Find the 3d Find the 4th Find the continued Find the greatest Find the number Find the square Find the sum Free the equation Geometrical Progression given equation given number gives greatest common divisor Hence imaginary roots last term least common multiple letter logarithm monomials multiplied number of real number of terms polynomial positive roots preceding article Problem quantities in example quotient radical quantities ratio real roots reduced remainder required equation required number row of signs Scholium Second Degree Solution Solve the equation square root Sturm's Theorem subtracted Theorem unity unknown quan unknown quantity variable whence