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Topic: Zero-dimensional triangle?
Replies: 6   Last Post: Dec 12, 2013 8:56 PM

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quasi

Posts: 10,208
Registered: 7/15/05
Re: Zero-dimensional triangle?
Posted: Dec 12, 2013 8:14 AM
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bsechter wrote:
>
>Is a zero dimensional triangle equilateral?


No.

>Is it even a triangle?

No.

>If all three vertices are on the same lattice point, do we
>have an equilateral triangle?


No.

However in certain contexts, it is convenient to allow such
configurations to be dealt with as if they were triangles. In
such a context, they are referred to as "degenerate triangles".

But, in a given context, unless an explicit exception is
declared allowing degenerate triangles, the term "triangle"
implies 3 distinct vertices.

quasi



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