A line in 2D and a plane in 3D A perpendicular bisector of the line connecting the 2 given points
I believe that is the definition of a straight line.
The locus of a moving point so that it is equidistant from another fixed point (i.e. the distance between them is always constant) is a circle.
a straight line ..
The locus of points equidistant from lines y = 0 and x = 3 is the line y = -x + 3.
This is the center, or locus, of a set of points, such as a curve or circle.
I believe that is the definition of a straight line.
A circle is the locus of all points equidistant from a given point, which is the center of the circle, and a circle can be drawn with a compass. (The phrase "locus of points for a circle" does not seem to be conventionally defined.) or true
A circle, rotated about any diameter, will generate a sphere with the same radius. A circle is the locus of all points in 2-dimensional space that are equidistant from a fixed point. A sphere is the locus of all points in 3-dimensional space that are equidistant from a fixed point.
circle
A locus of points is just the set of points satisfying a given condition. The locus of points equidistant from a point is a circle, since a circle is just a set of points which are all the same distance away from the center
The locus of a moving point so that it is equidistant from another fixed point (i.e. the distance between them is always constant) is a circle.
a straight line ..
The locus of points equidistant from lines y = 0 and x = 3 is the line y = -x + 3.
This is the center, or locus, of a set of points, such as a curve or circle.
A Circle.
The perpendicular bisector of the straight line joining the two points.
A line that is the angle bisector.