quasi
Posts:
12,018
Registered:
7/15/05


Re: Zerodimensional triangle?
Posted:
Dec 12, 2013 8:14 AM


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

