PDA

View Full Version : I think I trisected an angle. SERIOUSLY.


111111
Oct11-07, 08:45 PM
Hello, I know the stuff about how trisecting angles using only a compass and straightedge is impossible. So then could you explain this? I have posted some pictures at http://www.flickr.com/photos/14902182@N04/ which i made using geometers sketchpad.

Edit: Nevermind. I assumed that slope was the same as an angle.

CRGreathouse
Oct11-07, 09:14 PM
The angle you made seems to be \tan^{-1}3-\frac\pi4\approx26.6^\circ which isn't a trisection of the \tan^{-1}3\approx71.6^\circ angle.

More importantly, the trisection must be of a general angle, not of a particular one you decide. I can drop a perpendicular to a line and call it the result a trisected 270^\circ angle...

111111
Oct11-07, 11:24 PM
Nevermind. I assumed that slope was the same as an angle.

ice109
Oct12-07, 10:34 AM
can someone point me to a resource on reading about this whole using circles to do geometric proofs thing. i have no idea how any of these relationships are derived.

mathwonk
Oct12-07, 10:24 PM
Dad, are you SURE you cant get something for nothing?

111111
Oct12-07, 11:12 PM
Dad, are you SURE you cant get something for nothing?

Is that directed at me?