Thank you Chris for discovering this for us ![]()
This Wikipaedia site that Chris has referred us too is interesting.
http://www.digplanet.com/wiki/Degenerate_conic
Unlike Chris I like to put my feet up and watch video clips. There are tabs at the the top and one is for youtube clips.
I just watched the first one and really liked it.
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Actually I just found another simple page one conics.
My knowledge of conics was worse than Chris's in the first place so this is quite enlightening.
http://www.sparknotes.com/math/precalc/conicsections/section1.rhtml
This is what I have learned:
The general form of a conic is
$$Ax^2+Bxy+Cy^2+Dx+Ey+F=0\\
Now if B=0 we have\\
Ax^2+Cy^2+Dx+Ey+F=0\\
If A=C it is a circle\\
If A\ne C \;\; \mbox{BUT A and C have the same sign then it is an ellipse}\\
If A\ne C \;\; \mbox{AND A and C have different signs then it is an hyperbola}\\$$
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Ours has an xy term so B is not equal to zero - I do not know what that makes it.
It is a degenerate conic that is for sure but i am not sure which one. ![]()
I would really like more imput from other mathematicians :)