http://en.wikipedia.org/wiki/Elipse
A line in 2D and a plane in 3D A perpendicular bisector of the line connecting the 2 given points
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.
I believe that is the definition of a straight line.
It is the locus of points such that the sum of their distance from two distinct fixed points is a constant.
http://en.wikipedia.org/wiki/Elipse
A line in 2D and a plane in 3D A perpendicular bisector of the line connecting the 2 given points
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.
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I believe that is the definition of a straight line.
It is the locus of points such that the sum of their distance from two distinct fixed points is a constant.
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
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The simple answer is that an ellipse is a squashed circle.A more precise answer is that an ellipse is the locus (a collection) of points such that the sum of their distances from two fixed points (called foci) remains a constant. A circle is the locus of points that are all the same distance from a fixed point. If the two foci are moved closer together, the ellipse becomes more and more like a circle and finally, when they coincide, the ellipse becomes a circle. So, a circle is a special case of an ellipse.
It can allow you to define shapes but that is not quite the same thing as an object.