The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » Math Topics » geometry.pre-college

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Equal Area Triangles?
Replies: 2   Last Post: Jul 18, 1994 10:02 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
John Sullivan

Posts: 14
Registered: 12/6/04
Re: 'Equal area triangles'?
Posted: Jul 18, 1994 10:02 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In article <>, Michelle Manes <> 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?


Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.