Re: [Math4u] Please answer this question

Comments inside

-------- Original-Nachricht --------
> Datum: Fri, 26 Oct 2007 01:55:00 +0200
> Von: "Douglas Anderson" <djandersonza@gmail.com>
> An: Math4u@yahoogroups.com
> Betreff: Re: [Math4u] Please answer this question

> So what, would it be three circles (A,B,C) contained in a large circle E?
> I have to admit being an absolute tyro when it comes to Venn Diagrams as
> this request was the first time I have heard of them, yet the request
> piqued my interest.
> So as a tyro maybe I can help ch_mshahid with the help that Rob has
> offered.
> My error cam in because I misunderstood the wording. Actually, I read the
> query too quickly and thought he wanted one diagram to represent all
> possibilities.
> The three triangles, Isoceles can, in a special case, be considered
> equilateral. This would be the case when the base of teh triable is equal
> in length to the two sides. Hence every equilateral triangle is
> potentially isoceles.
> (Rob, would this be a correct assumption)

Actually, I have no idea what an isosceles triangle is (English is not my
native language); I'm perfectly sure I'd know if you told me the Dutch word
for it, but I'm very much pressed for time, so can't look it up, sorry.

> Now in the case of obtuse or scalene triangles. These to can be isoceles
> if two of the sides are of equal length. However, no scalene (obtuse)
> triangle could ever be equilateral.
> So as far as I can figure it, the cirlce representing equilateral
> triangles would be be wholly enclosed within the circle representing
> Isoceles triangles.
> Scalene can in special circumstances be Isoceles. Hence there would be an
> overlap between these two groups. However, since no equilateral triangle
> can be isoceles, there would be no overlap between these two, so
> (I have tried to include a sketch but cannot seem to have it included)
> B would be wholly indluded within A, and there would be an overlap
> between C and A but not C and B.
> Hope my words can portray what would have been better as a picture

Here's the picture (copy-paste to notepad or wordpad or whatever and choose
"Courier New" as font if it looks weird:

+--------------------+
| |
| +----------+ E |
| | | |
| | A +--+-----+ |
| | +---+ | | | |
| | | B | | | C | |
| | +---+ | | | |
| | +--+-----+ |
| | | |
| +----------+ |
| |
+--------------------+

(The original question also included a set E for Everything (all
triangles), which was missing from your post.)

HTH,
Rob

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