Abstract
This paper oers a trio of Euclidean constructions of an ellipse given its rst moments and second central moments. The crux of these constructions lies in the graphical construction of Carlyle [4, p. 99] and Lill [2] for the roots of a quadratic and the Pappus-Euler problem [12] of the construction of the principal axes of an ellipse from a pair of its conjugate diameters. Mathematics Subject Classication : 51M15, 51N20
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