BaricentrikusGörbe parancs
- BaricentrikusGörbe[ <Pont P>, <Pont Q>, <Pont R>, <Egyenlet A, B, C> ]
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Creates implicit polynomial, whose equation in barycentric coordinates with respect to points P, Q, R is given by the fourth parameter; the barycentric coordinates are referred to as A, B, C.
BaricentrikusGörbe[A, B, C, A² + B² + C² - 2B C - 2C A - 2A B = 0] creates the
Steiner inellipse of the triangle ABC, and
BaricentrikusGörbe[A, B, C, B C + C A + A B = 0] creates the Steiner
circumellipse of the triangle ABC.
BaricentrikusGörbe[A, B, C, A*C = 1/8] creates a hyperbola such that tangent, through A or C, to this
hyperbola splits triangle ABC in two parts of equal area.
If P, Q, R are points, TriangleCurve[P, Q, R, (A - B)*(B - C)*(C - A) = 0] gives a cubic curve consisting of
the medians of the triangle PQR.
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Jegyzet: The input points can be called A, B or C, but in this case you cannot use e.g. x(A) in the equation, because A is interpreted as the barycentric coordinate. |