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kasperpeulen / euclidthegame

A geometry game based on Euclid's Elements.
euclidthegame.org
MIT License
447 stars 74 forks source link

Doesn't find the center of the circle, intersection of two rays the split the circle #337

Closed ripper234 closed 8 years ago

ripper234 commented 8 years ago

This should be a valid solution

image

ripper234 commented 8 years ago

AG splits the angle BAC DG splits the angle EDF

ripper234 commented 8 years ago

Another image, this time three different angle splitters meeting at the center G

image

Hexstream commented 8 years ago

I'm a bit rusty, but I think the problem is that your arbitrary (purple) points B, C, E and F are only visually tangential to the circle, not proven to be tangential by construction.

You could try zooming in and would probably find out that your points weren't perfectly tangential, but even if you zoomed in a lot and put every one of your arbitrary points on the right pixels, it still wouldn't be a valid solution. You need to construct a proof that will be valid even at "infinite resolution".

ripper234 commented 8 years ago

You're right, the problem is that the rays are not tangent to the circle. Sorry for the noise.