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”.
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References
Tabov J.: Four collinear griffiths points. Math. Mag 68, 61–64 (1995)
Witczyński K.: On collinear griffiths points. J. of Geom. 74, 157–159 (2002)
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Witczyński, K. On quadruples of Griffiths points. J. Geom. 104, 395–398 (2013). https://doi.org/10.1007/s00022-013-0170-6
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DOI: https://doi.org/10.1007/s00022-013-0170-6