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In ordinary geometry (as opposed to affine geometry), a plane MUST consist of an infinite set of points.
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∙ 7y ago
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What is the infinite set of points that is straight and terminates at its end points?
An infinite set can not terminate.
Is a segment on infinitive set of points?
No, but is an infinite set of points.
What of all the points is the plane?
The set of all the points is the plane itself.
Why can you not define a line as an infinate set of points?
An infinite set of points can be a microscopically small line segment. An infinite number of points does not mean an infinitely long line.
Is a segment an infinite set of points?
CIRCLE
How many points make a plane?
It takes three points to make a plane. The points need to be non-co-linear. These three points define a distinct plane, but the plane can be made up of an infinite set of points.
What are the set of points that are in the yz plane?
They are all of the infinite number of points whose x-coordinate is zero.
What is the infinite set of points that is straight and terminates at its end points?
An infinite set can not terminate.
Is a segment on infinitive set of points?
No, but is an infinite set of points.
Is the set of points in a line finite or infinite?
Infinite.
What of all the points is the plane?
The set of all the points is the plane itself.
Why can you not define a line as an infinate set of points?
An infinite set of points can be a microscopically small line segment. An infinite number of points does not mean an infinitely long line.
Is a segment an infinite set of points?
CIRCLE
What is the set of all points in the plane equidistant from one point in the plane?
The set of all points in the plane equidistant from one point in the plane is named a parabola.
What is a set of points in a plane that are the same distance from a given point in the plane?
They are points on the circumference of a unique circle in the plane.
Is the set of all points in a plane that are equidistant from a fixed point of the plane called the center?
That set of points forms what is known as a "circle".
Is the set of points that lie on the plane of the triangle but does not include the points on the triangle?
The complement of the triangle in the plane.
