A Treatise on Algebra: By Charles Smith |
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Page x
... Method of undetermined multipliers Equations with more than three unknown quantities Examples XII . Examples XIII . Simultaneous equations of the second degree • Equations with more than two unknown quantities Examples XIV . CHAPTER XI ...
... Method of undetermined multipliers Equations with more than three unknown quantities Examples XII . Examples XIII . Simultaneous equations of the second degree • Equations with more than two unknown quantities Examples XIV . CHAPTER XI ...
Page xi
... Method of finding the nth root of any algebraical expression Examples XIX . 235 235 CHAPTER XVI . RATIO AND PROPORTION . Ratio . Compound ratio . Duplicate ratio 238 A ratio is made more nearly equal to unity by adding the same positive ...
... Method of finding the nth root of any algebraical expression Examples XIX . 235 235 CHAPTER XVI . RATIO AND PROPORTION . Ratio . Compound ratio . Duplicate ratio 238 A ratio is made more nearly equal to unity by adding the same positive ...
Page xiv
... Method of Differences 409 • Recurring Series 411 • Convergency of Infinite products 417 • Conditions for convergencyof 1 ± m + m ( m − 1 ) 1.2 - m ( m − 1 ) ( m − 2 ) ± + ... 418 1.2.3 Σu , and Za ” uɑn both convergent or both ...
... Method of Differences 409 • Recurring Series 411 • Convergency of Infinite products 417 • Conditions for convergencyof 1 ± m + m ( m − 1 ) 1.2 - m ( m − 1 ) ( m − 2 ) ± + ... 418 1.2.3 Σu , and Za ” uɑn both convergent or both ...
Page xvii
... Simultaneous Equations of the First Degree 537 Elimination 539 Sylvester's method of Elimination 540 · Examples XLII . 541 · Answers to the Examples 544 1 CHAPTER I. DEFINITIONS . 1. ALGEBRA , like Arithmetic CONTENTS . xvii.
... Simultaneous Equations of the First Degree 537 Elimination 539 Sylvester's method of Elimination 540 · Examples XLII . 541 · Answers to the Examples 544 1 CHAPTER I. DEFINITIONS . 1. ALGEBRA , like Arithmetic CONTENTS . xvii.
Page 37
... method of detached coefficients . 64. We now return to the three important cases of multiplication considered in Art . 56 , namely , ( a + b ) 2 = a2 + 2ab + b2 . ( a - b ) 2 = a2 - 2ab + b2 .. ( a + b ) ( a − b ) = a2 — b2 ...
... method of detached coefficients . 64. We now return to the three important cases of multiplication considered in Art . 56 , namely , ( a + b ) 2 = a2 + 2ab + b2 . ( a - b ) 2 = a2 - 2ab + b2 .. ( a + b ) ( a − b ) = a2 — b2 ...
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a+b+c a₁ arithmetic mean arithmetical progression ax² b₁ binomial Binomial Theorem C₁ Cambridge coefficient contain continued fraction Crown 8vo denominator determinant digits divergent divide divisible divisor Edition equal equation ax example expansion Extra fcap Fcap Find the number Find the sum follows geometrical progression given expression Globe 8vo greater Hence the required infinity letters logarithm MACMILLAN'S Multiply negative nth convergent nth root nth term number of terms obtained P₁ periodic continued fraction positive integer powers prime number Professor prove quadratic equation quadratic surd quotient ratio remainder School Shew Solve the equation square root subtract suppose Theorem Trinity College u₁ unknown quantities white ball whole number zero
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