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Re: 'Equal area triangles'?
Posted:
Jul 18, 1994 10:02 PM


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 equidecomposablethe 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 "equalarea"? As in "Any two triangles with the same base and height are equalarea triangles." Seems precise and clear; what more would you want?
John



