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Space is a boundless, three dimensional set of all points. Collinear is a set of points that are all on the same line and is 3 or more points.
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A boundless three dimensional set of all points?
Space
What is a round three dimensional object that surface at all points is same distance from center?
circle
What do all one dimensional and two dimensional objects lie in?
They could need three dimensional space. Although points are 1-dimensional objects, it is easy to have four points that need 3-d space: for example the vertices of a tetrahedron (triangular pyramid). Similarly, skew line will need 3-d space.
What is a three-dimensional figure with all points equidistant from a single point?
The surface of a sphere is defined in that manner.
What is a piece of a line consisting of two endpoints and all points in between?
This is the definition of a line segment. They are used in constructing two-dimensional polygons.
What is a boundless three-dimensional set of all points called?
3-d space.
A boundless three dimensional set of all points?
Space
Can a line be two-dimensional?
In that case, it wouldn't be called a "line".From superscot85: No, all lines are one-dimensional, just as all points are zero-dimensional.
What is the round 3 dimensional object whose surface at all points is the same distance from its center?
That is called a sphere.
A point in a coordinate system with integer coordinates?
Points with integer coordinates are often called lattice points. Lattices exist in all dimensions.When we talk about lattices points on the rectangular Cartesian coordinate system, this is a two dimensional lattice. Three dimensional lattice points are often used to study crystals.
Points all in one plane?
Two dimensional geometry.
What is the three dimensional shape that all points are equidistant from the center?
On a sphere, all points on the surface are equidistant from the center.
What are all the 3 dimensional shapes called?
The three dimensional figures are called Space figures
What is a shape with all points the same distance from its center?
If the shape is two-dimensional then it is a circle, if the shape is three-dimensional then it's a sphere.
What is a three dimensional figure that has faces with more than one dimensional figure?
All three dimensional figures have more faces than a one dimensional figure. There are an infinite number of one dimensional points on a three dimensional figure
What is a set of points in a plane that are all the same distance from a given point?
In 2-dimensional space, a circle. In 3-dimensional space, a sphere.
What is a three-dimensional surface in which all points are equidistant from a fixed point?
A 'spherical' surface.
