Abstract
Properties of the set of triangles with integer sides whose area is the square of an integer are studied.
Similar content being viewed by others
References
S. Sh. Kozhegel'dinov, “Basic Heronean triangles,”Mat. Zametki [Math. Notes]55, No. 2, 72–79 (1994).
S. Sh. Kozhegel'dinov, “Finding basic Heronean triangles (HT),”Izv. Akad. Nauk Rep. Kazakhstan. Ser. Fiz.-Mat., No. 3, 48–51 (1992).
S. Sh. Kozhegel'dinov, “Parametrization of Heronean triangles with coprime sides,” in:Interinstitute Conference Dedicated to the 70th Anniversary of Prof. T. I. Amanov [in Russian], Summary of report, Shakarim Semipalatinsk Pedagogical Institute, Semipalatinsk (1993), pp. 21–23.
S. Sh. Kozhegel'dinov,Problem 20 [in Russian], Preprint Akad. Nauk BSSR No. 35, Minsk (1990).
R. A. Melter, “Problem 6628,”Amer. Math. Monthly,98, No. 8, 772–774 (1991).
V. M. Bradis and A. F. Sicikov, “Despre triunghiurile heronice,”Gazeta matematica si fizica. Ser. A,2 (64), No. 6, 325–334 (1959).
S. Sh. Kozhegel'dinov, “On Theonean triangles,”Mat. Zametki [Math. Notes],53, No. 5, 155–157 (1993).
S. Sh. Kozhegel'dinov,General Formulas for Heronean Triangles and Their Special Cases [in Russian], Dep. VINITI No. 3385-90, Moscow (1990).
S. Sh. Kozhegel'dinov, “On basic Theonean triangles”, in:International Conference “Modern Problems of Number Theory” [in Russian], Summary of report, Tula (1993), p. 82.
J. Vidav, “Heronovi trikotniki in diofantske enacbe,”Obzornik mat. fiz.,38, No. 1, 1–7 (1991).
Author information
Authors and Affiliations
Additional information
Translated fromMatematicheskie Zametki, Vol. 61, No. 4, pp. 561–569, April, 1997.
Translated by V. N. Dubrovsky
Rights and permissions
About this article
Cite this article
Kozhegel'dinov, S.S. Basic theonean triangles. Math Notes 61, 465–472 (1997). https://doi.org/10.1007/BF02354990
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02354990