X3743

X10com[n(MEDIAL)*n(INCENTRAL)]

X3743 = complement wrt incentral triangle of X1
< 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, 21 }: Central Line L(1, 21) { 10, 37 }: Central Line L(10, 37) { 484, 1255 }: Central Line L(484, 1255) { 40, 2294 }: Central Line L(40, 2294) { 1126, 1757 }: Central Line L(1126, 1757) { 55, 2915 }: Central Line L(55, 2915) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_484 = 1st EVANS PERSPECTOR (2.0952, 3.0327) X_1255 = ISOGONAL CONJUGATE OF X(1100) (0.5639, 0.2247) X_40 = BEVAN POINT (0.4286, -0.0292) X_2294 = -ISOCONJUGATE OF X(1175) (0.5748, 0.2454) X_1126 = ISOGONAL CONJUGATE OF X(1125) (0.5938, 0.2586) X_1757 = MIMOSA TRANSFORM OF X(295) (2.6667, 2.7217) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_2915 = TANGENTIAL-ISOGONAL CONJUGATE OF X(1) (0.4365, -0.0641) X_3743 = com[n(MEDIAL)*n(INCENTRAL)] (0.5612, 0.2198) A B C X1 X21 X10 X37 X484 X1255 X40 X2294 X1126 X1757 X55 X2915 X3743 (a, b, c) = (5, 6, 7) | AB = 1

X3743 (X10com[n(MEDIAL)*n(INCENTRAL)]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(a(b + c)(a^{2} + b^{2} + c^{2} + 2ab + 2ac + bc) : :\)
Search Value (6, 9, 13): \(1.977957501417\)
▸ Incident Central Lines11 lines

{1, 21}, {10, 37}, {40, 2294}, {55, 2915}, {484, 1255}, {756, 3293}, {984, 2667}, {1126, 1757}, {1215, 3159}, {1486, 3295}, {3178, 3454}

▸ Functional Relations3 relations

  • X3743 = complement of X4647

  • X3743 = complement wrt incentral triangle of X1

  • X3743 = perspector of Gemini triangle 12 and cross-triangle of Gemini triangles 11 and 12