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It could be a circle or a sphere
An ellipse? The shape described is not an exactly describable geometric shape, (), and as far as I know there is no name for it.
No, a sphere and a circle are different geometric shapes. A sphere is a three-dimensional object with all points equidistant from the center, while a circle is a two-dimensional shape with all points equidistant from the center. In other words, a circle is a flat, circular shape, while a sphere is a three-dimensional, round object.
The Cartesian coordinate system allows a geometric curve to be described in algebraic terms. This then allows the use of algebraic tools including differentiation and integration to be used to solve geometric problems such as the turning points of curves, their volumes of rotation and so on. It also enables geometric methods to be applied to solving algebraic problems.
Zero. Points are zero dimensional objects. Straight lines are one dimensional objects. Planes and surfaces are two dimensional objects. Volumes and polyhedra are examples of three dimensional objects.
Points are the only such objects.
It could be a circle or a sphere
An ellipse? The shape described is not an exactly describable geometric shape, (), and as far as I know there is no name for it.
No, a sphere and a circle are different geometric shapes. A sphere is a three-dimensional object with all points equidistant from the center, while a circle is a two-dimensional shape with all points equidistant from the center. In other words, a circle is a flat, circular shape, while a sphere is a three-dimensional, round object.
True. Points are geometric objects with no dimensions.
A circle is the only geometric two dimensional shape that does not have any vertices, or points. However, there are non geomatric shapes that do not have any vertices. These are called organic shapes and are constructed either of only curved sides or curved sids and straight sides. Many three dimensional shapes do not have any vertices, the geometric ones include cylinders, spheres, and hemispheres.
Geometric points are dimensionless.
The Cartesian coordinate system allows a geometric curve to be described in algebraic terms. This then allows the use of algebraic tools including differentiation and integration to be used to solve geometric problems such as the turning points of curves, their volumes of rotation and so on. It also enables geometric methods to be applied to solving algebraic problems.
None. Points do not have dimensions.
Points.
Points.
Zero. Points are zero dimensional objects. Straight lines are one dimensional objects. Planes and surfaces are two dimensional objects. Volumes and polyhedra are examples of three dimensional objects.