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Metrical relations in barycentric coordinates
V. Volenec
Sažetak
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.
Ključne riječi
Hrčak ID:
749
URI
Datum izdavanja:
20.6.2003.
Posjeta: 2.205 *