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Some Geometrical Thoughts

Published online by Cambridge University Press:  03 November 2016

H. T. Croft
H. T. Croft*
Affiliation:
Peterhouse, Cambridge
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Extract

We consider here three geometrical problems, the solutions of which are not hard, but each involves some rather unobvious point. The reader is invited to attempt them before looking at the solutions. The names of the original proposers are noted in brackets.

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Type
Research Article
Information
The Mathematical Gazette , Volume 49 , Issue 367 , February 1965, pp. 45 - 49
Copyright
Copyright © Mathematical Association 1965

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References

page 46 note * Using the fact that there are times as many edges as faces.

page 46 note † Including as a particular case, coplanar points.

page 47 note * Or alternatively by applying the general theorem: If one plane closed convex curve encloses another, then the outer one is the longer.

page 48 note * The determinant of the system is found on expansion to consist of the sum of two terms with the same sign.

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Corrigenda

H.T. Croft