X2186

X2-ISOCONJUGATE OF X182

X2186 = isotomic conjugate of X3403
< 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) { 48, 82 }: Central Line L(48, 82) { 10, 262 }: Central Line L(10, 262) { 37, 263 }: Central Line L(37, 263) { 1, 1755 }: Central Line L(1, 1755) { 31, 1910 }: Central Line L(31, 1910) { 19, 1964 }: Central Line L(19, 1964) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_82 = ISOGONAL CONJUGATE OF X(38) (0.5943, 0.2703) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_262 = ISOGONAL CONJUGATE OF X(182) (0.5893, 0.2856) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_263 = ISOGONAL CONJUGATE OF X(183) (0.6298, 0.3525) X_1 = INCENTER (0.5714, 0.2333) X_1755 = MIMOSA TRANSFORM OF X(287) (1.5943, 2.3982) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_1910 = TRILINEAR POLE OF PU(23) (0.9516, -0.2978) X_19 = CLAWSON POINT (0.6246, 0.4244) X_1964 = BICENTRIC SUM OF PU(36) (0.6058, 0.2641) X_2186 = -ISOCONJUGATE OF X(182) (0.6123, 0.3199) A B C X48 X82 X10 X262 X37 X263 X1 X1755 X31 X1910 X19 X1964 X2186 (a, b, c) = (5, 6, 7) | AB = 1

X2186 (X2-ISOCONJUGATE OF X182) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X182
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-0.353014130803\)
▸ Incident Central Lines10 lines

{1, 1755}, {10, 262}, {19, 1964}, {31, 1910}, {37, 263}, {48, 82}, {65, 2275}, {75, 1953}, {1973, 2190}, {2172, 2216}

▸ Functional Relations1 relation