A Treatise on Algebra: By Charles SmithMacmillan and Company, 1888 - 571 sider |
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Side ix
... form as quadratic equations 134 Reciprocal equations 136 Roots found by inspection 137 Binomial equations . 138 Cube roots of unity . 139 Examples XI . 140 CHAPTER X. SIMULTANEOUS EQUATIONS . Equations of the first degree CONTENTS . ix.
... form as quadratic equations 134 Reciprocal equations 136 Roots found by inspection 137 Binomial equations . 138 Cube roots of unity . 139 Examples XI . 140 CHAPTER X. SIMULTANEOUS EQUATIONS . Equations of the first degree CONTENTS . ix.
Side xi
... unity by adding the same positive quantity to each of its terms 239 • Proportion Incommensurable numbers Continued proportion . Mean proportional 240 240 242 Geometrical and algebraical definitions compared 243 Variation . 244 Examples ...
... unity by adding the same positive quantity to each of its terms 239 • Proportion Incommensurable numbers Continued proportion . Mean proportional 240 240 242 Geometrical and algebraical definitions compared 243 Variation . 244 Examples ...
Side 14
... unity to obtain the second . ” Thus 4 is 1 + 1 + 1 + 1 ; .. 5 × 4 is 5 + 5 + 5 + 5 . Again , to multiply by , we must do to done to unity to obtain ; that is , we must divide four equal parts and take three of those parts . the parts ...
... unity to obtain the second . ” Thus 4 is 1 + 1 + 1 + 1 ; .. 5 × 4 is 5 + 5 + 5 + 5 . Again , to multiply by , we must do to done to unity to obtain ; that is , we must divide four equal parts and take three of those parts . the parts ...
Side 82
... unity , a2 is less than a . It should also be noticed that if we give particular numerical values to the letters involved in any two expressions and in their H. C. F. , the numerical value of the H.C.F. is by no means necessarily the ...
... unity , a2 is less than a . It should also be noticed that if we give particular numerical values to the letters involved in any two expressions and in their H. C. F. , the numerical value of the H.C.F. is by no means necessarily the ...
Side 91
... the denominator is a factor of the numerator : we are thus led to find that the numerator is the same as the denomi- nator , so that the given expression is equal to unity . Ex . 6. Simplify a2 + b2 C2 ( ab FRACTIONS . 91.
... the denominator is a factor of the numerator : we are thus led to find that the numerator is the same as the denomi- nator , so that the given expression is equal to unity . Ex . 6. Simplify a2 + b2 C2 ( ab FRACTIONS . 91.
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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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