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One sheet hyperboloid equation

Started by DeltaVee Sep 14, 2001 at 10:08 AM 3 replies 1.1k views

Original Post

Sep 14, 2001 at 10:08 AM

Does any one have an equation in the form of: x = .... y = .... z = .... I have found the quadric ''x/a+y/b-z/c=1'' and boy am I regretting dropping out of school

Thanx. D.V.

DeltaVee

Sep 15, 2001 at 5:58 AM

Okay, I was going to link in a graphic but the site where it is, is wwwwwaaaaaayyyyyyyyy to slow.

Basicaly what I''m trying to do construct a cylinder that is fluted at both ends (like a trumpet).

Apparently this is called a 1 sheet hyperboloid, sounds like something you cure with pile ointment.

D.V.

LilBudyWizer

Sep 15, 2001 at 6:14 AM

  
x=sqrt(a^2*(s^2+c^2))/sqrt(c^2)*cos(t)
y=sqrt(b^2*(s^2+c^2))/sqrt(c^2)*sin(t)
z=s

//Conversion back to implicit


(c^2*x^2)/(a^2*(z^2+c^2))+(c^2*y^2)/(b^2*(z^2+c^2))=cos(t)^2+sin(t)^2
(c^2*x^2)/(a^2*(z^2+c^2))+(c^2*y^2)/(b^2*(z^2+c^2))=1
(c^2*x^2)/a^2+(c^2*y^2)/b^2=z^2+c^2
x^2/a^2+y^2/b^2=z^2/c^2+1
x^2/a^2+y^2/b^2-z^2/c^2=1

DeltaVee

Sep 15, 2001 at 6:26 AM

Your a saint, thanks.

D.V.

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