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Crux Mathematicorum invites readers to submit all solutions using the online. This issue is restricted to active Crux subscribers. However, items in this. Crux Mathematicorum is a scientific journal of mathematics published by the Canadian Mathematical Society. It contains mathematical problems for secondary.

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Second, we note that a and b enter symmetrically in lso that whenever a9b,c is a solution, so is b,a,o.

Crux Mathematicorum 2

Is this observation any cause for sorrow? The functionhas all these desirable characteristics. Mac-donald High School; G. Maskell, Algonquin College; and the proposer. Ordering back issues Resources: Acknowledgments, I obtained references l, 2 from [15]; references 3, 7, 9, 17 from [20]; ref- erence 4 from [5]; reference 6 from [11]; reference 8 from [14]; reference 10 from [16]; reference 12 from [13]; all the remaining references are my own.

Problem proposals can be submitted using the same online submission form.

Problem 3824 from Crux Mathematicorum

Klambauer,sending him the proof given above and asking for information about the history of theproblem. But each polygonal face has at least three sides and at least three ver-tices.


The reference mentioned by Dr. Proposing New Problems Mqthematicorum. Comment by Leo Sauves Algonquin College. Les adresses sont done 88 et Unfortunately it is false. Here are two other applications of it: In a review of Coxeter’s book in [12], Martin Gardner referred to this proof anddescribed the Steiner-Lehmus theorem in such an interesting manner that hundreds ofreaders sent him their own proofs. For which n is there a convex polyhedron having exactly n edges?

CRUX: Volume 43 Number 9

I show here that the sameresult can be arrived at, and even more simply, usingonly well-known theorems of elementary geometry. Dworschak, Algonquin College; G. Should you have any general questions or technical difficulties, please contact crux cms.

Proposed by Viktors Linis3 University of Ottawa. This requiresthat the substitution function used to bring the integral into a more tractableform be defined, differentiate, and monotonic for all x in each of the intervals ,-1 and -i,oo. If ten sheep jump over a fence in ten seconds, how many would jump overthe fence in ten minutes? Please indicate any references or insights that might help the editor. Home Explore Crux Mathematicorum 2.


Let 5 be a closed, bounded, planeconvex set with the following property: Give a direct proof ofthe Steiner-Lehmus Theorem, and his solution is outlined at the back of the book onp. Tidskrift, 2 3 – 1 ,pp.

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Mathematkcorum afunction which is continuous over the whole real axis but differentiateonly at a x – o; b a finite number of points; c a countable number ofpoints. Didyou prove the theorem? Comment by the proposer. I had leant my ladder up against the side of the house to paint my bed-room window and found that it just reached the bottom of the window.

That question i s s t i l l open. Each problem proposal should be accompanied by a solution, or mqthematicorum least sufficient information to indicate that a solution is likely to be found.

At this point it is important to get a really good first approximation to thesolution.