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Mathematical Communications, Vol. 8 No. 1, 2003.

Original scientific paper

Metrical relations in barycentric coordinates

V. Volenec

Full text: english pdf 153 Kb

page 55-68

downloads: 1.464

cite

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 $\boldsymbol{v}_i=[x_{i},y_{i},z_{i}]$ $(i=1,2)$ have the scalar product $2\Delta (\alpha x_{1}x_{2}+\beta y_{1}y_{2}+\gamma z_{1}z_{2})$. 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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