Metrical relations in barycentric coordinates
نویسنده
چکیده
Let ∆ be the area of the fundamental triangle ABC of barycentric coordinates and let α = cotA, β = cotB, γ = cotC. The vectors vi = [xi, yi, zi] (i = 1, 2) have the scalar product 2∆(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.
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