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What is the point of intersection of a circle of a sphere with tangent line or plane?
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.
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Intersection of sphere and plane that contains center of a sphere?
great circle
What does a sphere with a tangent look like?
If your question is " What is the shape of a sphere's tangent?" , then the answer is : a plane. A plane basically touches the sphere at only one point and hence , it should be a plane. It cannot be a straight line , as a straight line is a tangent for 2D objects,( ie.) a circle.
What type of geometric figure is formed by the intersection of a plane and sphere?
A Circle.
What is a shape of the intersection of a sphere and a horizontal plane?
A circle, which could degenerate to a point.
What is the shape of the dark grey area representing the intersection of the plane and the sphere?
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.
Will the intersection of a plane and a sphere always be a circle or can it be a point also?
It will be a point if the plane is tangent to the sphere.
What is the intersection of the sphere with the yz plane?
The intersection of a sphere with a plane is a point, or a circle.
Intersection of sphere and plane that contains center of a sphere?
great circle
When a plane intersects a sphere what does the intersection form?
A circle~
What does a sphere with a tangent look like?
If your question is " What is the shape of a sphere's tangent?" , then the answer is : a plane. A plane basically touches the sphere at only one point and hence , it should be a plane. It cannot be a straight line , as a straight line is a tangent for 2D objects,( ie.) a circle.
What type of geometric figure is formed by the intersection of a plane and sphere?
A Circle.
What is a shape of the intersection of a sphere and a horizontal plane?
A circle, which could degenerate to a point.
What is the shape of the dark grey area representing the intersection of the plane and the sphere?
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.
What is a great circle in spherical geometry?
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.
What is the shape of the dark area representing the intersectionof the plane and sphere?
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.
What is a line in the plane of a circle that intersects the circle at two points?
tangent
Are lines on a sphere in the same plane?
Not necessarily. A plane dissecting a sphere would create a circle in that plane. so in order for the "line" to be both on the plane and the sphere the line would have to be a curve or segment of a circle.
