X2352

X2-ISOCONJUGATE OF X1751

X2352 = X28-Ceva conjugate of X6
< 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, 3 }: OI Line (Incenter–Circumcenter Line) { 31, 48 }: Central Line L(31, 48) { 6, 228 }: Central Line L(6, 228) { 209, 579 }: Central Line L(209, 579) { 212, 604 }: Central Line L(212, 604) { 108, 917 }: Central Line L(108, 917) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_1 = INCENTER (0.5714, 0.2333) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_228 = -CEVA CONJUGATE OF X(71) (0.5231, 0.1126) X_209 = -CEVA CONJUGATE OF X(37) (0.7303, 0.4592) X_579 = HARMONIC OF X(284) (0.7212, 0.4674) X_212 = -CEVA CONJUGATE OF X(41) (0.4719, 0.0786) X_604 = -CEVA CONJUGATE OF X(31) (0.6442, 0.3744) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_917 = -CROSS CONJUGATE OF X(4) (0.9795, 0.2766) X_2352 = -ISOCONJUGATE OF X(1751) (0.7063, 0.4810) A B C X28 X6 X1 X3 X31 X48 X228 X209 X579 X212 X604 X108 X917 X2352 (a, b, c) = (5, 6, 7) | AB = 1

X2352 (X2-ISOCONJUGATE OF X1751) 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 X1751
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-0.530314995711\)
▸ Incident Central Lines17 lines

{1, 3}, {6, 228}, {25, 1841}, {28, 1612}, {31, 48}, {37, 1011}, {42, 2260}, {108, 917}, {209, 579}, {212, 604}, {255, 1408}, {595, 2360}, {672, 2318}, {916, 1779}, {1284, 1836}, {1395, 1415}, {1397, 2361}

▸ Functional Relations4 relations