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A Geometry Question
Posted: Sun Jan 27, 2008 10:07 am
by Paolo
Triangles are inappropriately named.
For students of geometry, they will know that there really is no such physical thing as a point, line, plane, etc. They are all representations of concepts. "Undefined primitives upon which Euclidean geometry is based."
However, by its very definition, a triangle contains NO angles, not 3 of them, as the name implies.
Why?
Bonus points to the first correct answer.
Re: A Geometry Question
Posted: Sun Jan 27, 2008 10:11 am
by tugon (imported)
Paolo wrote: Sun Jan 27, 2008 10:07 am
Triangles are inappropriately named.
For students of geometry, they will know that there really is no such physical thing as a point, line, plane, etc. They are all representations of concepts. "Undefined primitives upon which Euclidean geometry is based."
However, by its very definition, a triangle contains NO angles, not 3 of them, as the name implies.
Why?
Bonus points to the first correct answer.
A polygon with three corners.
Re: A Geometry Question
Posted: Sun Jan 27, 2008 3:59 pm
by XtheUndead (imported)
An "angle" is the union of two rays, where a "ray" is a portion of a line that extends infinitely in one direction. The triangle thus does not completely contain any of the rays, and thus does not "contain" any of the angles.
Re: A Geometry Question
Posted: Sun Jan 27, 2008 8:25 pm
by StefanIsMe (imported)
XtheUndead (imported) wrote: Sun Jan 27, 2008 3:59 pm
An "angle" is the union of two rays, where a "ray" is a portion of a line that extends infinitely in one direction. The triangle thus does not completely contain any of the rays, and thus does not "contain" any of the angles.
Ooo tricky logic, I like it.
A triangle 'contains' no angles because it is defined as merely three non-collinear points which suggest a plane.
Re: A Geometry Question
Posted: Sun Jan 27, 2008 11:13 pm
by Paolo
XtheUndead (imported) wrote: Sun Jan 27, 2008 3:59 pm
An "angle" is the union of two rays, where a "ray" is a portion of a line that extends infinitely in one direction. The triangle thus does not completely contain any of the rays, and thus does not "contain" any of the angles.
You win!
Re: A Geometry Question
Posted: Sun Jan 27, 2008 11:17 pm
by kristoff
You win!
And he was going to be a math teacher....
Re: A Geometry Question
Posted: Mon Jan 28, 2008 12:17 am
by XtheUndead (imported)
I AM a math teacher, which makes it somewhat unfair.
What do I win?
Re: A Geometry Question
Posted: Mon Jan 28, 2008 1:53 am
by BossTamsin (imported)
The one thing I found hilarious is that I came upon this thread at around 10am, PST. At that point there was just the one original post, and one response. The post was approximately four hours old at that point. The first thing I did is plug the question into Google, to see if I could get an answer that way. There was only one result, and that was a link right back here.
How's that for humour?
Re: A Geometry Question
Posted: Mon Jan 28, 2008 9:23 am
by Charis (imported)
Just goes to show how poor our Education System is when EA becomes the source for math and science. With our loss of leadership in manufacturing, dependence on foreign resources and lack of poltical well, how long till we are a 3rd world country?
Re: A Geometry Question
Posted: Mon Jan 28, 2008 10:15 am
by A-1 (imported)
Charis (imported) wrote: Mon Jan 28, 2008 9:23 am
Just goes to show how poor our Education System is when EA becomes the source for math and science. With our loss of leadership in manufacturing, dependence on foreign resources and lack of poltical well, how long till we are a 3rd world country?
Is this another !@@!!%$#%$#^%^^^%$^##!!!
MATH TEST STORY PROBLEM!???
MATH TEST STORY PROBLEM!???