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A Graphical Method of Solving Tartaglian Measuring Puzzles*

Published online by Cambridge University Press:  03 November 2016

M. C. K. Tweedie
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Extract

A man has three vessels, whose capacities are 3, 5 and 8 pints respectively. The largest is full of water. He desires to divide this water into two equal parts by using these vessels only What are the simplest ways of doing this?

Graphical solution.

Call the vessels X, Y and Z respectively, and the amounts of water they contain x, y and z respectively.

Type
Research Article
Information
The Mathematical Gazette , Volume 23 , Issue 255 , July 1939 , pp. 278 - 282
Copyright
Copyright © Mathematical Association 1939 

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Footnotes

*

“It is the general opinion that puzzles of this class can only be solved by trial, but I think formulae can be constructed for the solution generally of certain related cases. It is a practically unexplored field for investigation.”—Dudeney, Amusements in Mathematics (1917), p. 109. I owe this reference to Professor Neville.

References

* “It is the general opinion that puzzles of this class can only be solved by trial, but I think formulae can be constructed for the solution generally of certain related cases. It is a practically unexplored field for investigation.”—Dudeney, Amusements in Mathematics (1917), p. 109. I owe this reference to Professor Neville.