Points at rational distance from the vertices of a triangle
نویسندگان
چکیده
منابع مشابه
Points on y = x2 at rational distance
Nathaniel Dean asks the following: Is it possible to find four nonconcyclic points on the parabola y = x2 such that each of the six distances between pairs of points is rational? We demonstrate that there is a correspondence between all rational points satisfying this condition and orbits under a particular group action of rational points on a fiber product of (three copies of) an elliptic surf...
متن کاملPOINTS ON y = x AT RATIONAL DISTANCE
Nathaniel Dean asks the following: Is it possible to find four nonconcyclic points on the parabola y = x2 such that each of the six distances between pairs of points is rational? We demonstrate that there is a correspondence between all rational points satisfying this condition and orbits under a particular group action of rational points on a fiber product of (three copies of) an elliptic surf...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1992
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-62-4-391-398