X2344

X2-ISOCONJUGATE OF X1469

X2344 = crosssum of X1469 and X2276
< 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, 32 }: Central Line L(1, 32) { 8, 41 }: Central Line L(8, 41) { 6, 256 }: Central Line L(6, 256) { 284, 314 }: Central Line L(284, 314) { 7, 604 }: Central Line L(7, 604) { 104, 825 }: Central Line L(104, 825) 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_32 = 3rd POWER POINT (0.6400, 0.3332) X_8 = NAGEL POINT (0.4694, 0.1333) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_256 = 1st SHARYGIN POINT (0.5601, 0.2146) X_284 = -CROSS CONJUGATE OF X(21) (0.5646, 0.2088) X_314 = ISOTOMIC CONJUGATE OF X(65) (0.4457, 0.1206) X_7 = GERGONNE POINT (0.5903, 0.2769) X_604 = -CEVA CONJUGATE OF X(31) (0.6442, 0.3744) X_104 = ANTIPODE OF X(100) (0.8571, -0.2624) X_825 = o-(0, 3) CIRCUMCIRCLE POINT (0.2886, 0.5665) X_2344 = -ISOCONJUGATE OF X(1469) (0.5443, 0.1937) A B C X1 X32 X8 X41 X6 X256 X284 X314 X7 X604 X104 X825 X2344 (a, b, c) = (5, 6, 7) | AB = 1

X2344 (X2-ISOCONJUGATE OF X1469) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((a - b - c)/(b^{2} + b c + c^{2}) : :\)
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(2.820171505535\)
▸ Alternate Coordinates1 form

  • Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X1469

▸ Incident Central Lines13 lines

{1, 32}, {2, 2112}, {4, 1973}, {6, 256}, {7, 604}, {8, 41}, {9, 2175}, {37, 983}, {104, 825}, {284, 314}, {870, 1438}, {941, 2209}, {1156, 1492}

▸ Functional Relations1 relation