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Re: 'Equal area triangles'?
Posted:
Jul 18, 1994 10:02 PM
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In article <Ct5D7s.Mw@ssi.edc.org>, Michelle Manes <michelle@edc.org> wrote:
>In article <199407181507.LAA13581@slc12.INS.CWRU.Edu> Daniel H.
>Steinberg, dhs6@po.CWRU.Edu writes:
>>I actually just want to know if there is a name for triangles
>>(not necessarilly congruent) which have equal area.
>two rectilinear
>figures with equal areas are equidecomposable---the first can be cut
>up into a finite number of pieces, which can then be rearranged into
>the second. ... So maybe
>equidecomposable is the word to use if you stick to rectilinear figures
This seems like a poor choice. In three dimensions, of course, there's
an interesting theory of equidecomposability for polyhedra, which does
not reduce to just computing volumes.
What's wrong with the obvious term "equal-area"?
As in "Any two triangles with the same base and height are equal-area
triangles." Seems precise and clear; what more would you want?
-John
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