All points between two given points, including the endpoints, can be represented as a continuous set of points along the line segment that connects them. If the two points are defined by their coordinates, say Point A (x1, y1) and Point B (x2, y2), the points can be expressed parametrically as (x(t), y(t)) = (x1 + t(x2 - x1), y1 + t(y2 - y1)) for t values ranging from 0 to 1. At t=0, the point is A, and at t=1, the point is B. Thus, the entire range from A to B is covered as t varies between 0 and 1.
Normally a straight line segment.
A chord is a line segment between two points on a given curve. Basically it's two points that are connected with a line which all happens to be on a curve. Most likely a circle
A set of all points in a plane that are a given distance from a given point is known as a circle. The given point is called the center of the circle, and the specified distance is the radius. All points on the circle are equidistant from the center, forming a continuous curve.
The locus of all points that are the same distance from two given points is a perpendicular bisector of the line segment connecting those two points. This line is equidistant from each of the two points at all locations along its length.
The solid bounded by the set of all points at a given distance from a given point is a sphere. The center of the sphere is the given point, and the radius is the specified distance. All points on the surface of the sphere are equidistant from the center, forming a perfectly symmetrical shape in three-dimensional space.
Normally a straight line segment.
A sphere is a solid bounded by the set of all points at a given distance from a given point.
A chord is a line segment between two points on a given curve. Basically it's two points that are connected with a line which all happens to be on a curve. Most likely a circle
A set of all points in a plane that are a given distance from a given point is known as a circle. The given point is called the center of the circle, and the specified distance is the radius. All points on the circle are equidistant from the center, forming a continuous curve.
A circle is the set of all points in a plane at a given distance FROM a given point, which is known as the circle's center.
The locus of all points that are the same distance from two given points is a perpendicular bisector of the line segment connecting those two points. This line is equidistant from each of the two points at all locations along its length.
line
The set of all points a given distance from a center point is a circle. The given distance is the radius, and the given point is the center. Or, in 3 dimensional space, a sphere.
The solid bounded by the set of all points at a given distance from a given point is a sphere. The center of the sphere is the given point, and the radius is the specified distance. All points on the surface of the sphere are equidistant from the center, forming a perfectly symmetrical shape in three-dimensional space.
A solid bounded by the set of all points at a given distance from a specific point is called a sphere. The center of the sphere is the given point, and the radius is the specified distance. All points on the surface of the sphere are equidistant from the center, creating a three-dimensional shape.
sphere
Straight line