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Squaring shapes: (Posted on 2004-09-22) Difficulty: 3 of 5
The ancient Greeks, being masters of geometric manipulation, often tried their hand at "squaring" various shapes. This involved using only the most fundamental rules of geometry to construct a square whose area equals the area of the original shape.

Can you follow in their footsteps and square a simple triangle?

The solution must hold for all types of triangles.

See The Solution Submitted by Benjamin J. Ladd    
Rating: 2.4000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Euclid's Solution Comment 9 of 9 |

Euclid's II.14 (Book II, Proposition 14) solves this problem.

Googling Euclid II.14 gives many interesting links, among them in particular is the reasonably understandable

http://www.headmap.org/unlearn/euclid/book2/2.14.htm


  Posted by Richard on 2004-09-24 00:42:11
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