X874

INTERSECTION OF LINES X1X_75 AND X99X_670

X874 = trilinear pole of line X239X350
< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 1, 75 }: Central Line L(1, 75) { 99, 670 }: Central Line L(99, 670) { 190, 646 }: Central Line L(190, 646) { 100, 789 }: Central Line L(100, 789) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_875 = ISOGONAL CONJUGATE OF X(874) (0.9992, -0.0257) X_1 = INCENTER (0.5714, 0.2333) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_99 = STEINER POINT (0.1109, 0.4322) X_670 = TRILINEAR POLE OF LINE X(2)X(39) (-0.0057, 0.2948) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_646 = BARYCENTRIC MULTIPLIER FOR YFF PARABOLA (-0.0898, 0.2051) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_789 = o-(- 3, 0) CIRCUMCIRCLE POINT (0.0826, 0.3957) X_874 = INTERSECTION OF LINES X(1)X(75) AND X(99)X(670) (-2.0525, -2.1172) A B C X875 X1 X75 X99 X670 X190 X646 X100 X789 X874 (a, b, c) = (5, 6, 7) | AB = 1

X874 (INTERSECTION OF LINES X1X_75 AND X99X_670) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = (a^{2}u^{2} - bcvw)/[a^{2}u(bv - cw)]\),\(u : v : w\) = X1
Barycentrics: \(g(a,b,c) : g(b,c,a) : g(c,a,b)\), where \(g(a,b,c) = af(a,b,c)\)
Search Value (6, 9, 13): \(56.177035853433\)
▸ Incident Central Lines4 lines

{1, 75}, {99, 670}, {100, 789}, {190, 646}

▸ Functional Relations4 relations