You may generate all ellipses by having a loop of string with a pair of loci within the loop. Tracing the possible triangles (formed by the taut string) will give you an ellipse. Altering the length of the string and the spacing of the loci will generate all ellipses.
Of course, with access to all the x,y, plots of the ellipse, a check may easily be made as to its perfection.
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If the eccentricity was 0 the ellipse would instead be a circle, and if the eccentricity was 1 it would be a straight line segment.
Ellipse * * * * * At right angles to the length, it would be a circle. Along the length it would be a rectangle. Only a diagonal cross section would be an ellipse.
Divisions will not have a remainder if the divisor is a factor of the number. eg 6/2=3
No.
ellipse is the shape of an egg