On quadruples of Griffiths points |
| |
Authors: | Krzysztof Witczyński |
| |
Institution: | 1. Faculty of Mathematics and Information Sciences, Warsaw University of Technology, Pl. Politechniki 1, 00-661, Warsaw, Poland
|
| |
Abstract: | Tabov (Math Mag 68:61–64, 1995) has proved the following theorem: if points A 1, A 2, A 3, A 4 are on a circle and a line l passes through the centre of the circle, then four Griffiths points G 1, G 2, G 3, G 4 corresponding to pairs (Δ i ,l) are on a line (Δ i denotes the triangle A j A k A l , j,k,l ≠ i). In this paper we present a strong generalisation of the result of Tabov. An analogous property for four arbitrary points A 1, A 2, A 3, A 4, is proved, with the help of the computer program “Mathematica”. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|