On some rational triangles

DOI10.1007/s00009-011-0112-1zbMath1276.11046OpenAlexW1993435851MaRDI QIDQ414388

Arturas Dubickas

Publication date: 11 May 2012

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-011-0112-1

zbMATH Keywords

bisectorsHeronian trianglepoints in general positionrational distances

Mathematics Subject Classification ID

Erd?s problems and related topics of discrete geometry (52C10) Cubic and quartic Diophantine equations (11D25) Elementary problems in Euclidean geometries (51M04)

Cites Work

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• Encounter at far point
• There are integral heptagons, no three points on a line, no four on a circle
• Points at rational distances on a parabola
• Rational Quadrilaterals
• Straight line embeddings of cubic planar graphs with integer edge lengths
• n-clusters for 1 < n < 7
• Points at rational distance from the vertices of a triangle
• Points on 𝑦=𝑥² at rational distance
• Integral distances

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