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Original scientific paper

Metrical relations in barycentric coordinates

V. Volenec


Full text: english pdf 153 Kb

page 55-68

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Abstract

Let Δ be the area of the fundamental triangle ABC of barycentric coordinates and α=cot A,β =cot B, γ=cot C. The vectors vi=[xi,yi,zi] (i=1,2) have the scalar product 2Δ(αx1x2+βy1y2+γz1z2). This fact implies all important formulas about metrical relations of points and lines. The main and probably new results are Theorems 1 and 8.

Keywords

barycentric coordinates

Hrčak ID:

749

URI

https://hrcak.srce.hr/749

Publication date:

20.6.2003.

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