| Title |
Racionalieji kuboidai ir Herono trikampiai II / |
| Translation of Title |
Rational cuboids and Heron triangles II. |
| Authors |
Mazėtis, Edmundas ; Melničenko, Grigorijus |
| DOI |
10.15388/LMR.B.2019.15233 |
| Full Text |
|
| Is Part of |
Lietuvos matematikos rinkinys.. Vilnius : Vilniaus universiteto leidykla. 2019, t. 60, Ser. B, p. 34-38.. ISSN 0132-2818. eISSN 2335-898X |
| Keywords [eng] |
right-angled-vertex tetrahedron ; Heronian triangles ; rational cuboid ; perfect cuboid ; Euler brick |
| Abstract [eng] |
We study the connection of Heronian triangles with the problem of the existence of rational cuboids. It is proved that the existence of a rational cuboid is equivalent to the existence of a rectangular tetrahedron, which all sides are rational and the base is a Heronian triangle. Examples of rectangular tetrahedra are given, in which all sides are integer numbers, but the area of the base is irrational. The example of the rectangular tetrahedron is also given, which has lengths of one side irrational and the other integer, but the area of the base is integer. |
| Published |
Vilnius : Vilniaus universiteto leidykla |
| Type |
Journal article |
| Language |
Lithuanian |
| Publication date |
2019 |
| CC license |
|
