ARBELOS

S. McAdams, S. Pinion, & L. Stueve


Arbelos, or shoemaker's knife was given its name because of the shape of the region formed by the three circles. This region closely resembles the shape of a shoemaker's knife -- Arbelos.






We can construct the region, and using GSP calculate the lengths and angles to demonstrate the region to be a rectangle.



Now, can you prove it?


The link below was installed into this document by a --- shall we say --- amateur, in order to actually get to the proof, click below, choose MATH, then choose 'a', then find ARBELOS -- whew! this requires a good deal of effor t for the reader, but we think it is worth it.

GOOD LUCK!!

To look at a proof -- Click Here!!!!

Back to Lisa's Page

Back to Sue's Page

Back to Sandy's Page