Melody

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Melody  Feb 11, 2022
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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  :)

Jan 9, 2015