Points at rational distance from the vertices of a triangle

T. G. Berry

Acta Arithmetica (1992)

  • Volume: 62, Issue: 4, page 391-398
  • ISSN: 0065-1036

How to cite

top

T. 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. [1] J. H. J. Almering, Rational quadrilaterals, Indag. Mat. 25 (1963), 192-199. 
  2. [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. [3] A. Bremner and R. K. Guy, A dozen difficult diophantine dilemmas, Amer. Math. Monthly 95 (1988), 31-36. Zbl0647.10017
  4. [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. [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. [6] W. H. Hudson, Kummer's Quartic Surface, reprinted, with foreword by W. Barth, Cambridge University Press, 1990. Zbl0716.14025
  7. [7] S. Lang, Fundamentals of Diophantine Geometry, Springer, 1983. Zbl0528.14013
  8. [8] G. Salmon, A Treatise on Conic Sections, Chelsea, 1954. 
  9. [9] T. Shioda, On elliptic modular surfaces, J. Math. Soc. Japan 24 (1972), 20-59. Zbl0226.14013
  10. [10] T. Skolem, Diophantische Gleichungen, Chelsea, 1956. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.