X2296

X2-ISOCONJUGATE OF X1185

< 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) { 31, 86 }: Central Line L(31, 86) { 42, 75 }: Central Line L(42, 75) { 2, 213 }: Central Line L(2, 213) { 1, 310 }: Central Line L(1, 310) { 7, 1402 }: Central Line L(7, 1402) { 675, 785 }: Central Line L(675, 785) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_2 = CENTROID (0.5374, 0.2000) X_213 = -CEVA CONJUGATE OF X(42) (0.6135, 0.2833) X_1 = INCENTER (0.5714, 0.2333) X_310 = ISOTOMIC CONJUGATE OF X(42) (0.4762, 0.1536) X_7 = GERGONNE POINT (0.5903, 0.2769) X_1402 = -BETH CONJUGATE OF X(42) (0.6396, 0.3585) X_675 = TRILINEAR POLE OF LINE X(6)X(514) (0.9212, -0.1860) X_785 = o-(- 3, - 2) CIRCUMCIRCLE POINT (0.2590, 0.5519) X_2296 = -ISOCONJUGATE OF X(1185) (0.5563, 0.2206) A B C X31 X86 X42 X75 X2 X213 X1 X310 X7 X1402 X675 X785 X2296 (a, b, c) = (5, 6, 7) | AB = 1

X2296 (X2-ISOCONJUGATE OF X1185) 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 X1185
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(2.097853573434\)
▸ Incident Central Lines9 lines

{1, 310}, {2, 213}, {7, 1402}, {27, 1973}, {31, 86}, {42, 75}, {675, 785}, {873, 2274}, {1042, 1088}