where 2 lines go through each other. that is called point of intersection
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It means when there are two circles and one is over lapping another. For instance a Venn-Diagram. Those two circles are over lapping (intersecting).
When 2 lines cut each other at any point they are said to intersect each other
There is no deep meaning to it.
A hyperboloid.A sphere, ellipsoid, toroid or paraboloid intersected by a plane.There are probably others.A hyperboloid.A sphere, ellipsoid, toroid or paraboloid intersected by a plane.There are probably others.A hyperboloid.A sphere, ellipsoid, toroid or paraboloid intersected by a plane.There are probably others.A hyperboloid.A sphere, ellipsoid, toroid or paraboloid intersected by a plane.There are probably others.
Yes if the two lines intersected are parallel lines
No. Definitely not if the lines intersected near their means.
There are many options. Amongst them: An ellipsoid (including a sphere) intersected by two planes which do not, themselves intersect within the shape; A paraboloid intersected by two planes which do not, themselves intersect within the shape; A cone intersected by two planes which do not, themselves intersect within the shape; A semi-hyperboloid intersected by two planes which do not, themselves intersect within the shape; A toroid (doughnut) intersected by two planes which do not, themselves intersect within the shape; An elliptic prism intersected by two planes which do not, themselves intersect within the shape. The last of these would include a cylinder.