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It is the locus of points such that the sum of their distance from two distinct fixed points is a constant.
It is the locus of a point such that the sum of its distance from two (distinct) fixed points is a constant. So, given two fixed points, F1 and F2, an ellipse is the locus of the point P such that PF1 + PF2 is a constant. That would be an ellipsoid, a 3 dimensional thing. The 2 distances have to be measured in a fixed (2 dimensional) plane.
It is a line segment.
They are points whose positions do not change under transformations.
Facts assumed to be fixed or true from which inferences are drawn and opinions formed
one
Infinite lines as for example the diameter of a circle
In Euclidian or plane geometry, there can be only one line through two fixed points. Lines cannot actually be drawn; if you see it it is not a geometric line. If the points are on a curved surface as in a geometry that is non-Euclidian, then there can be infinitely many lines connecting two points.
infinite
It is the locus of points such that the sum of their distance from two distinct fixed points is a constant.
It is the locus of a point such that the sum of its distance from two (distinct) fixed points is a constant. So, given two fixed points, F1 and F2, an ellipse is the locus of the point P such that PF1 + PF2 is a constant. That would be an ellipsoid, a 3 dimensional thing. The 2 distances have to be measured in a fixed (2 dimensional) plane.
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
The fixed points of a function f(x) are the points where f(x)= x.
the set of points equidistant from a fixed point
Physical mixture
A specific mixture has a fixed boiling point.
This set of points forms a circle with the fixed point as its center.