X2364

X2-ISOCONJUGATE OF X2099

X2364 = trilinear pole of line X654X663
< 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) { 6, 36 }: Central Line L(6, 36) { 57, 89 }: Central Line L(57, 89) { 19, 1449 }: Central Line L(19, 1449) { 1, 2161 }: Central Line L(1, 2161) { 9, 2320 }: Central Line L(9, 2320) { 41, 2316 }: Central Line L(41, 2316) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_89 = ISOGONAL CONJUGATE OF X(45) (0.5963, 0.2697) X_19 = CLAWSON POINT (0.6246, 0.4244) X_1449 = {X(1),X(6)}-HARMONIC CONJUGATE OF X(9) (0.5830, 0.2470) X_1 = INCENTER (0.5714, 0.2333) X_2161 = -ISOCONJUGATE OF X(36) (0.9328, -0.1235) X_9 = MITTENPUNKT (0.5110, 0.1615) X_2320 = -ISOCONJUGATE OF X(1405) (0.5446, 0.1940) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_2316 = -ISOCONJUGATE OF X(1319) (1.0000, 0.0000) X_2364 = -ISOCONJUGATE OF X(2099) (0.5782, 0.2266) A B C X6 X36 X57 X89 X19 X1449 X1 X2161 X9 X2320 X41 X2316 X2364 (a, b, c) = (5, 6, 7) | AB = 1

X2364 (X2-ISOCONJUGATE OF X2099) 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 X2098
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(1.898755782634\)
▸ Incident Central Lines10 lines

{1, 2161}, {6, 36}, {9, 2320}, {19, 1449}, {41, 2316}, {55, 2323}, {57, 89}, {572, 2259}, {2258, 2308}, {2280, 2291}

▸ Functional Relations5 relations