The intersection of a sphere with a plane is a point, or a circle.
It will be a point if the plane is tangent to the sphere.
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A point.
A great circle is defined as the largest possible circle that can be drawn on a sphere, resulting from the intersection of the sphere with a plane that passes through the sphere's center. It represents the shortest path between two points on the surface of the sphere, making it significant in navigation and geography. Examples of great circles include the equator and the longitudinal lines on a globe.
It is a cross section.
It will be a point if the plane is tangent to the sphere.
great circle
A circle~
We're having a hard time making out the dark grey area from here. But the intersection of a plane and a sphere is always a circle.
A Circle.
A circle, which could degenerate to a point.
The dark area is so dark that I'm unable to see it from here. But I do know that in general, the intersection of a plane and a sphere is a circle.
The point of intersection of a tangent line or plane with a circle on a sphere is the single point where the line or plane touches the circle. This point is unique because, by definition, a tangent line or plane only intersects a circle at one point without passing through it. If the tangent is from an external point, it signifies that the line or plane is just "touching" the circle at that specific location. In three-dimensional space, this concept illustrates the relationship between the geometry of the sphere and the properties of tangents.
The great circle is the intersection of a sphere and any plane passing through its centre. Given two distinct points on the surface of a sphere, those two points and the centre of the sphere define a plane. [If one of the points is at the antipodes of the other, an infinite number of planes are defined.] The great circle is the circle formed when that plane meets the surface of the sphere.
A two-dimensional cross-section of a sphere is represented by a circle. When a plane intersects a sphere, the intersection forms a circular shape, with the size of the circle varying depending on how the plane cuts through the sphere. If the plane passes through the center of the sphere, the resulting circle will have the largest diameter, while other intersections will produce smaller circles.
If the line is not IN the plane ... it just zaps through the plane from some direction ... then it touches the plane in only one point. The intersection is a point.if it is lined up with the plane, then the intersection is a line.
When a line intersects a plane and does not lie in the plane, the intersection forms a single point. This point is where the line crosses the plane. If the line is parallel to the plane, however, there will be no intersection point.