- #1
davon806
- 148
- 1
Homework Statement
Hi,
I am trying to find the general formula of a circle in 3D
Let's consider a sphere centred at (x1,0,0),with radius x1
It's equation is (x-x1)^2 + y^2 + z^2 = (x1)^2
If there is a plane x = x1 intersects with the sphere
A equation of a circle is formed,which is y^2 + z^2 = (x1)^2
This give the equation of circle at x = x1,with radius x1,in the 3-dimensional space.
My question is:
Is there a general formula of equation of circle in 3 dimensional retangular coordinates system,which involves 3 independent variables?So that we don't have to specify "The equation of circle at x = x1.",we could just include the information of x-coordinate in the equation?
I hope someone can understand what I mean..
If there is any mistake please point out,thx very much.
If there is a plane x=x1 intersects with the sphere