"Tomahawk" is shown in the figure shown below.
Tomahawk is made up of straight edge OQ, a semicircle SQR, and a sharp corner point "P" at a distance of the same radius from point "Q". The angle to be trisected is AOB.
The trisection is done when the point "P" passes through line AO while the inside edge OQ of the Tomahawk's handle being kept on the point "O". Just as in the case of Carpenter's Square, the following relation holds.
PQ = QS = SR
You can see the process in animation.
******** tomahawk_desc.dwg ********
The Carpenter's Square in the author's garage was used in the actual test for trisecting 60 degrees angle. (shown in the left of the following picture.)
This ruler has different width for two legs, 1.0 and 1.5 inch.Shown in the right is a copy of this ruler made of a transparent,film-like vinyl sheet used as separater in the binder.
To create this drawing and animation:
Load tomahawk_3.lsp (load "tomahawk_3")
Then from command line, type tomahawk
For a quick look , type test & detail_test
Animation file creation: animation_tomahawk
******** tomahawk_60_deg_case.dwg ********
1. Yates,Robert Carl : "The Trisection problem", p 37
All questions/suggestions should be sent to Takaya Iwamoto
Last Updated Nov 22, 2006
Copyright 2006 Takaya Iwamoto All rights reserved.