Assertion: ellipse's distance | /r/AtLocation | constant ratio
Facets:
Source sentences:
text: Ellipse is the locus of points whose distances to a fixed point and to a fixed line are in a constant ratio less than $1.$
text: An ellipse is the affine image of a circle; an ellipse is a non-degenerate conic (i.e. a second-order curve) which does not meet the line at infinity; an ellipse is the set of points whose distances to a given point (the focus) and to a given line (the associated directrix) are in constant ratio; and an ellipse is a planar compact non-singular algebraic curve of the second degree.