X2256

X2-ISOCONJUGATE OF X937

X2256 = crosssum of X1 and X2257
< 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, 6 }: Incenter–Symmedian Line { 48, 55 }: Central Line L(48, 55) { 56, 71 }: Central Line L(56, 71) { 8, 965 }: Central Line L(8, 965) { 579, 999 }: Central Line L(579, 999) { 584, 1190 }: Central Line L(584, 1190) 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_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_8 = NAGEL POINT (0.4694, 0.1333) X_965 = INTERSECTION OF LINES X(2)X(6) AND X(3)X(9) (0.5133, 0.1741) X_579 = HARMONIC OF X(284) (0.7212, 0.4674) X_999 = MIDPOINT OF X(1) AND X(57) (0.5926, 0.2722) X_584 = ORTHOHARMONIC OF X(500) (0.5720, 0.2209) X_1190 = 2nd SARAGOSSA POINT OF X(55) (0.5884, 0.2303) X_2256 = -ISOCONJUGATE OF X(937) (0.5510, 0.2090) A B C X1 X6 X48 X55 X56 X71 X8 X965 X579 X999 X584 X1190 X2256 (a, b, c) = (5, 6, 7) | AB = 1

X2256 (X2-ISOCONJUGATE OF X937) 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 X937
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(2.167710620216\)
▸ Incident Central Lines20 lines

{1, 6}, {8, 965}, {48, 55}, {56, 71}, {104, 2335}, {145, 2287}, {198, 2269}, {221, 2286}, {388, 1901}, {579, 999}, {584, 1190}, {604, 1334}, {610, 1697}, {1000, 1172}, {1214, 1407}, {1333, 2328}, {1604, 1630}, {1696, 2183}, {1953, 2098}, {2099, 2294}

▸ Functional Relations2 relations