A Treatise on Algebra: By Charles SmithMacmillan and Company, 1888 - 571 σελίδες |
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Σελίδα xi
... RATIO AND PROPORTION . Ratio . Compound ratio . Duplicate ratio 238 A ratio is made more nearly equal to unity by adding the same positive quantity to each of its terms 239 • Proportion Incommensurable numbers Continued proportion ...
... RATIO AND PROPORTION . Ratio . Compound ratio . Duplicate ratio 238 A ratio is made more nearly equal to unity by adding the same positive quantity to each of its terms 239 • Proportion Incommensurable numbers Continued proportion ...
Σελίδα 133
... ratio mn , then will mnb2 = ( m + n ) 2 ac . 58. If ax2 + 2bx + c = 0 and a'x2 + 2b'x + c = 0 have one and only one root in common , prove that b3 - ac and b'2 – a'c ' must both be perfect squares . 59. If x , x be the roots of the ...
... ratio mn , then will mnb2 = ( m + n ) 2 ac . 58. If ax2 + 2bx + c = 0 and a'x2 + 2b'x + c = 0 have one and only one root in common , prove that b3 - ac and b'2 – a'c ' must both be perfect squares . 59. If x , x be the roots of the ...
Σελίδα 178
... ratio of 15 to 2 if the pounds were five - pound notes , and the shillings pounds . 17. £ 1000 is divided between A , B , C and D. B gets half as much as A , the excess of C's share over D's share is equal to one - third of A's share ...
... ratio of 15 to 2 if the pounds were five - pound notes , and the shillings pounds . 17. £ 1000 is divided between A , B , C and D. B gets half as much as A , the excess of C's share over D's share is equal to one - third of A's share ...
Σελίδα 237
... C fg h =入. 25. Shew that when the first r terms of the cube root of an algebraical expression are known , r more terms can be found by ordinary division . CHAPTER XVI . RATIO . PROPORTION . 202. Definitions . EXAMPLES . 237.
... C fg h =入. 25. Shew that when the first r terms of the cube root of an algebraical expression are known , r more terms can be found by ordinary division . CHAPTER XVI . RATIO . PROPORTION . 202. Definitions . EXAMPLES . 237.
Σελίδα 238
... ratio . Concrete quantities of different kinds can have no ratio to one another : we cannot , for example , compare with respect to magnitude miles and tons , or shillings and ... RATIO AND PROPORTION Ratio Compound ratio Duplicate ratio.
... ratio . Concrete quantities of different kinds can have no ratio to one another : we cannot , for example , compare with respect to magnitude miles and tons , or shillings and ... RATIO AND PROPORTION Ratio Compound ratio Duplicate ratio.
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Συχνά εμφανιζόμενοι όροι και φράσεις
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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