- #1
MarcL
- 170
- 2
This is just a coursework question ( I didn't know where to post this). When I find the traces of an equation ( let's say x^2+y^2-z^2=1 for the sake of argument). How does it affect my graph if one part of the equation is an ellipse and the other is an hyperbola? I mean in this case I would expect to be like this
When z=0
x^2+y^2=1 --> ellipse (well a circle but a circle is an ellipse)
when x=0
y^2-z^2=1 --> hyperbola
when y = 0
x^2-z^2=1 --> hyperbola
How does this affect the graph in 3d? I mean if it is both an ellipse and hyperbola, I can't visualize it geometrically.
Sorry if this is the wrong section
When z=0
x^2+y^2=1 --> ellipse (well a circle but a circle is an ellipse)
when x=0
y^2-z^2=1 --> hyperbola
when y = 0
x^2-z^2=1 --> hyperbola
How does this affect the graph in 3d? I mean if it is both an ellipse and hyperbola, I can't visualize it geometrically.
Sorry if this is the wrong section