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By the geometric definition of a line, it is represented by two points, and all points on the line are collinear, between or extrapolating to infinity from the straight line made by the two points. In other words, a line is straight, and can be represented by a binomial function (example: y=2x+1). A parabola is a function, but cannot be described mathematically as a line.
It could be a circle or a sphere
The metric of a geometric space is defined as the distance between two points.
An ellipse? The shape described is not an exactly describable geometric shape, (), and as far as I know there is no name for it.
line segment
By the geometric definition of a line, it is represented by two points, and all points on the line are collinear, between or extrapolating to infinity from the straight line made by the two points. In other words, a line is straight, and can be represented by a binomial function (example: y=2x+1). A parabola is a function, but cannot be described mathematically as a line.
It is an collection of an infinite number of points.
No, they are not the only geometric objects.
It could be a circle or a sphere
The metric of a geometric space is defined as the distance between two points.
False, other geometric objects exist which can be defined as a parrticular locus of points, such as the parabola and the hyperbola.
line segment
An ellipse? The shape described is not an exactly describable geometric shape, (), and as far as I know there is no name for it.
Line segment.
2D line.
line segment
YES!!! It is the shortest distance between two points.