This Blog exists for the collective benefit of all geometry students. While the posts are specific to Mr. Chamberlain's class, any and all "geometricians" are welcome. The more specific your question (including your own attempts to answer it) the better.
In #6, it's a bit on the tiny side, but can you see that angl-OCD cong to angl-ODC is given in the diagram?
As for geogebra, I would just like for you to install it and play around with it for a bit. Nothing in particular, but if you would like to cure a few diseases or something, I'm sure your fellow citizens of the world would appreciate your efforts.
http://mathforum.org/library/drmath/view/52517.html http://mathforum.org/library/drmath/view/57725.html As for trisecting a 90 degree angle. Otherwise, I made geogebra make a regular 20000 sided figure. It crashed my computer.
The trisection you reference is by way of construction and pre-knowledge of the angle, i.e. cheating.
... the real goal is to trisect an *arbitrary* angle with straightedge and compass; that is, to trisect any angle, not just one particular angle. Your construction relies on the fact that your given angle is ninety degrees. To trisect an arbitrary angle with straightedge and compass is impossible, as the ancient Greeks knew, but were unable to prove. It took hundreds of years before the tools of abstract algebra and Galois Theory came along to show it was indeed impossible.
My nephew is a knucklehead like you... he is on his way to medical school this summer...which one we're not sure (he's been accepted at two schools), but among others he has an interview at Harvard in December. He tried for weeks to trisect an angle, at one point he thought he was on to something. He'll make a great doc I'm sure, but he never did trisect that angle.
If your goal is to catch me on technicalities and other mistakes, many more successes await you... no fame or fortune, however, at least not for making a buffoon out of me!
GEOGebra FTW! You can draw a pacman shape!!!!!!!
ReplyDelete(circumcircular sector)
I'm having issues with #6. how do tyou prove od cong. to oc?
ReplyDeletewhat were we supposed to do on geogebra?
ReplyDeleteIn #6, it's a bit on the tiny side, but can you see that angl-OCD cong to angl-ODC is given in the diagram?
ReplyDeleteAs for geogebra, I would just like for you to install it and play around with it for a bit. Nothing in particular, but if you would like to cure a few diseases or something, I'm sure your fellow citizens of the world would appreciate your efforts.
Mr. C.
Nora's sick. One problem is migraines. So if i do go to school tomorrow don't be surprised if I'm wearing sunglasses.
ReplyDeleteMigraines STINK with a capital K! Take care of yourself... stay home if you have to... this is an on-line course, you know!
ReplyDeletehttp://mathforum.org/library/drmath/view/52517.html
ReplyDeletehttp://mathforum.org/library/drmath/view/57725.html
As for trisecting a 90 degree angle.
Otherwise, I made geogebra make a regular 20000 sided figure. It crashed my computer.
I'll stick with the comment I found on your link:
ReplyDeleteThe trisection you reference is by way of construction and pre-knowledge of the angle, i.e. cheating.
... the real goal is to trisect an *arbitrary* angle with straightedge and compass; that is, to trisect any angle, not just one particular angle. Your construction relies on the fact that your given angle is ninety degrees. To trisect an arbitrary angle with straightedge and compass is impossible, as the ancient Greeks knew, but were unable to prove. It took hundreds of years before the tools of abstract algebra and Galois Theory came along to show it was indeed impossible.
My nephew is a knucklehead like you... he is on his way to medical school this summer...which one we're not sure (he's been accepted at two schools), but among others he has an interview at Harvard in December. He tried for weeks to trisect an angle, at one point he thought he was on to something. He'll make a great doc I'm sure, but he never did trisect that angle.
Yes, I was aware of that, but your challenge was to find trisecting a 90 degree angle. Was it not?
ReplyDeleteIf it wasn't, we had some communication problems.
If your goal is to catch me on technicalities and other mistakes, many more successes await you... no fame or fortune, however, at least not for making a buffoon out of me!
ReplyDeleteYou're right, its too easy.
ReplyDeleteJust kiddin'
Couldn't resist.
THAT was hurtful. I'm staying home tomorrow.
ReplyDelete