Points at rational distance from the vertices of a triangle
Acta Arithmetica (1992)
- Volume: 62, Issue: 4, page 391-398
- ISSN: 0065-1036
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topT. G. Berry. "Points at rational distance from the vertices of a triangle." Acta Arithmetica 62.4 (1992): 391-398. <http://eudml.org/doc/206501>.
@article{T1992,
author = {T. G. Berry},
journal = {Acta Arithmetica},
keywords = {quartic diophantine equation; Kummer surface; Hurwitz-Poincaré criterion},
language = {eng},
number = {4},
pages = {391-398},
title = {Points at rational distance from the vertices of a triangle},
url = {http://eudml.org/doc/206501},
volume = {62},
year = {1992},
}
TY - JOUR
AU - T. G. Berry
TI - Points at rational distance from the vertices of a triangle
JO - Acta Arithmetica
PY - 1992
VL - 62
IS - 4
SP - 391
EP - 398
LA - eng
KW - quartic diophantine equation; Kummer surface; Hurwitz-Poincaré criterion
UR - http://eudml.org/doc/206501
ER -
References
top- [1] J. H. J. Almering, Rational quadrilaterals, Indag. Mat. 25 (1963), 192-199.
- [2] T. G. Berry, Points at rational distance from the corners of a unit square, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 17 (1990), 505-529. Zbl0726.11041
- [3] A. Bremner and R. K. Guy, A dozen difficult diophantine dilemmas, Amer. Math. Monthly 95 (1988), 31-36. Zbl0647.10017
- [4] A. Bremner and R. K. Guy, The delta-lambda configurations in tiling the square, J. Number Theory 32 (1989), 263-280. Zbl0678.05013
- [5] R. K. Guy, Tiling the square with rational triangles, in: Number Theory and Applications, R. A. Mollin (ed.), NATO Adv. Study Inst. Ser. C 265, Kluwer, 1989, 45-101. Zbl0748.05046
- [6] W. H. Hudson, Kummer's Quartic Surface, reprinted, with foreword by W. Barth, Cambridge University Press, 1990. Zbl0716.14025
- [7] S. Lang, Fundamentals of Diophantine Geometry, Springer, 1983. Zbl0528.14013
- [8] G. Salmon, A Treatise on Conic Sections, Chelsea, 1954.
- [9] T. Shioda, On elliptic modular surfaces, J. Math. Soc. Japan 24 (1972), 20-59. Zbl0226.14013
- [10] T. Skolem, Diophantische Gleichungen, Chelsea, 1956.
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