Elliptic Curves Do Arise from Ellipses
نویسندگان
چکیده
We show that the locus of the foci of a family of ellipses that are tangential to the sides of a triangle with one prescribed point of tangency is an elliptic curve. We further show that every isomorphism class of elliptic curves over an algebraically closed field K of char(K) 6= 2, 3 can be realized in this manner. On varying the triangle, one can get all elliptic curves over an algebraically closed field K of char(K) 6= 2, 3.
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