An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |
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... 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 . EQUATIONS OF ...
... 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 . EQUATIONS OF ...
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... PROPORTIONS . SECTION I. Reduction of Fractions . 54. When a quotient is expressed by placing the dividend over the divisor with a line between them , it is called a fraction ; its dividend is called the numerator of the fraction , and ...
... PROPORTIONS . SECTION I. Reduction of Fractions . 54. When a quotient is expressed by placing the dividend over the divisor with a line between them , it is called a fraction ; its dividend is called the numerator of the fraction , and ...
Page 43
... proportion is the equation formed of two equal ratios . : Thus , if the two ratios A : B and C D are equal , the ... PROPORTIONS . Proportions.
... proportion is the equation formed of two equal ratios . : Thus , if the two ratios A : B and C D are equal , the ... PROPORTIONS . Proportions.
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... proportion is equal to the product of its extremes . This proposition is called the test of proportions , that is , if four quantities are such that the product of the first and last of them is equal to the product of the second and ...
... proportion is equal to the product of its extremes . This proposition is called the test of proportions , that is , if four quantities are such that the product of the first and last of them is equal to the product of the second and ...
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... proportion , Solution . The following solution is immediately obtained from the test . When the required term is an ... proportion respectively A , B , C ; find the fourth . Ans . BC A ' 2. Given the three first terms of a proportion ...
... proportion , Solution . The following solution is immediately obtained from the test . When the required term is an ... proportion respectively A , B , C ; find the fourth . Ans . BC A ' 2. Given the three first terms of a proportion ...
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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