# Convert space curve to cartesian

by yanyin
Tags: cartesian, convert, curve, space
 Sci Advisor HW Helper P: 9,396 And eqaully clearly, surely you can see there is more to it than that? You've just replaced a locally 1-d structure (a curve) with a locally 2-d structure, a sphere. yes, the x, y, and z coordinates necessarily satisfy that, but that isn't sufficient. You need to intersect with the plane x=z (or similar) at the very least. generally the equation is $$x=z=(1-y^2)^{1/2}/\sqrt 2$$
 Originally posted by matt grime And eqaully clearly, surely you can see there is more to it than that? You've just replaced a locally 1-d structure (a curve) with a locally 2-d structure, a sphere. yes, the x, y, and z coordinates necessarily satisfy that, but that isn't sufficient. You need to intersect with the plane x=z (or similar) at the very least. generally the equation is $$x=z=(1-y^2)^{1/2}/\sqrt 2$$