What is the Intersection of a Plane and Cylinder?

[electron2]

x^2+y^2=1

x+y+z=1

i can't see how the plane cuts the cylinder all threw

i drawed drawed
x+y=1 (z=0)
x+z=1 (y=0)
y+z=1 (x=0)

and i get a triangle which is stuck in the middle of the cilinder
instead of cutting it all threw

 

[tiny-tim]

Hi electron2!

(try using the X² tag just above the Reply box )

You're slicing a cylindrical block, so you must get an ellipse.

Just work out where the top the bottom and the two "sides" are.