X2320

X2-ISOCONJUGATE OF X1405

X2320 = isogonal conjugate of X2099
< 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) { 2, 80 }: Central Line L(2, 80) { 1, 89 }: Central Line L(1, 89) { 7, 1319 }: Central Line L(7, 1319) { 55, 1320 }: Central Line L(55, 1320) { 4, 1385 }: Central Line L(4, 1385) { 3, 1389 }: Central Line L(3, 1389) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2099 = REFLECTION OF X(55) IN X(1) (0.5938, 0.2745) X_2 = CENTROID (0.5374, 0.2000) X_80 = REFLECTION OF INCENTER IN FEUERBACH POINT (0.8980, -0.1000) X_1 = INCENTER (0.5714, 0.2333) X_89 = ISOGONAL CONJUGATE OF X(45) (0.5963, 0.2697) X_7 = GERGONNE POINT (0.5903, 0.2769) X_1319 = BEVAN-SCHRÖDER POINT (0.9524, 0.9331) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_1320 = ISOGONAL CONJUGATE OF X(1319) (1.0000, 0.0000) X_4 = ORTHOCENTER (0.6122, 0.3958) X_1385 = MIDPOINT OF INCENTER AND CIRCUMCENTER (0.5357, 0.1677) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_1389 = ISOGONAL CONJUGATE OF X(1385) (0.5985, 0.3054) X_2320 = -ISOCONJUGATE OF X(1405) (0.5446, 0.1940) A B C X2099 X2 X80 X1 X89 X7 X1319 X55 X1320 X4 X1385 X3 X1389 X2320 (a, b, c) = (5, 6, 7) | AB = 1

X2320 (X2-ISOCONJUGATE OF X1405) 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 X1405
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(2.783539357536\)
▸ Incident Central Lines11 lines

{1, 89}, {2, 80}, {3, 1389}, {4, 1385}, {7, 1319}, {9, 2364}, {55, 1320}, {104, 1621}, {941, 1100}, {1001, 1156}, {1388, 1476}

▸ Functional Relations2 relations