A is a point B is a line C is a plane D is an infinite hyperbola

>>8610543
I don't get it. This is 3D space right?

Imagine if D was simply in C and then A and B are somewhere in another plane.

or is this 2D space?

I assume this is 3D because you say "a plane" and not "the plane".

>>8610582
It's 3D. But is it theoretically for a plane to never touch the hyperbola, even though the hyperbola is infinite in both directions?

>>8610621
Shouldn't D be 4-dimensional?

A can exist in B
B can exist in C
D isn't very well defined

>>8610543
Is D the cones that you start with when making conic sections?

>>8610543
you need to identify the point of the vertex of the hyperbola to test if any of the random points will ever touch. also reflections of the hyperbola count.

>>8610621
A hyperbola is 2D. That means that you can put the Hyperbola inside the plane and then have the line and point be in a different plane, and there are infinitely many of those in 3D space.

And if we say that the hyperbola only touches the plane but is not contained in it, then we can find a plane that contains the hyperbola and then put the point and line in a parallel plane.

What you state is not always true.

>>8610852
Not anon, but to clarify, there's some plane that contains D.

You simply show that the planes do not intersect.