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Side 78
Isaac Todhunter. EXAMPLES OF PROBLEMS . 1. The property of two persons amounts to £ 3870 , and one of them is twice as ... amount of the bill ? 5. Divide 46 into two parts , such that if one part be di- vided by 7 and the other by 3 , the ...
Isaac Todhunter. EXAMPLES OF PROBLEMS . 1. The property of two persons amounts to £ 3870 , and one of them is twice as ... amount of the bill ? 5. Divide 46 into two parts , such that if one part be di- vided by 7 and the other by 3 , the ...
Side 107
... amounts to £ 22 . 10s . more than the income - tax ; find the original income and the number of pence per pound in the poor - rate . 17. A farmer would spend all his money by buying 4 oxen and 32 lambs ; instead of doing this he bought ...
... amounts to £ 22 . 10s . more than the income - tax ; find the original income and the number of pence per pound in the poor - rate . 17. A farmer would spend all his money by buying 4 oxen and 32 lambs ; instead of doing this he bought ...
Side 120
... amounts they respectively receive . 7. Solve the equation 1 + α + 6α OC 2 - За + 3 x + 2α 6 x + a 8. If x be a quantity such that ( x − a ) 2 + ( x − b ) 2 + ( x − c ) 2 + = a2 + b2 + c2 + - ...... shew that the sum of the products ...
... amounts they respectively receive . 7. Solve the equation 1 + α + 6α OC 2 - За + 3 x + 2α 6 x + a 8. If x be a quantity such that ( x − a ) 2 + ( x − b ) 2 + ( x − c ) 2 + = a2 + b2 + c2 + - ...... shew that the sum of the products ...
Side 191
... , and was then inapplicable , is here the admissible result . 350. Find a number such that twice its square increased by three times the number itself may amount to 65 . Let x denote the number ; then , by the QUADRATIC EQUATIONS . 191.
... , and was then inapplicable , is here the admissible result . 350. Find a number such that twice its square increased by three times the number itself may amount to 65 . Let x denote the number ; then , by the QUADRATIC EQUATIONS . 191.
Side 192
... amount to 65 . 351. Divide a given line into two parts , such that twice the square on one part may be equal to the rectangle contained by the whole line and the other part . Let a denote the length of the line , and x the length of one ...
... amount to 65 . 351. Divide a given line into two parts , such that twice the square on one part may be equal to the rectangle contained by the whole line and the other part . Let a denote the length of the line , and x the length of one ...
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7th term a+b+c arithmetic mean arithmetical ax² Binomial Theorem black balls chance cloth coefficient common contains continued fraction convergent Crown 8vo denote digits divided divisible divisor equal event example expansion Extract the square factors Fcap Find the number Geometrical Progression greater than unity Hence least common multiple less than unity letters logarithm miles multiply negative quantity number of combinations number of terms obtain occur P₁ positive integers positive quantity preceding article prime number probability problem quadratic equation quadratic surd quotient radix ratio recurring decimal remainder result scale shew shillings Similarly solution square number square root subtraction suppose supposition surd things taken trial unknown quantities white balls whole number
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