X2242

X2-ISOCONJUGATE OF X751

< 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) { 39, 56 }: Central Line L(39, 56) { 6, 101 }: Central Line L(6, 101) { 55, 187 }: Central Line L(55, 187) { 99, 192 }: Central Line L(99, 192) { 36, 574 }: Central Line L(36, 574) 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_39 = BROCARD MIDPOINT (0.5778, 0.2305) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_187 = INVERSE-IN-CIRCUMCIRCLE OF X(6) (SCHOUTE CENTER) (1.1986, 1.2559) X_99 = STEINER POINT (0.1109, 0.4322) X_192 = -CEVA CONJUGATE OF X(2) (CONGRUENT PARALLELIANS POINT) (0.6147, 0.2635) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_574 = HARMONIC OF X(187) (0.5539, 0.1910) X_2242 = -ISOCONJUGATE OF X(751) (0.5964, 0.2696) A B C X1 X32 X39 X56 X6 X101 X55 X187 X99 X192 X36 X574 X2242 (a, b, c) = (5, 6, 7) | AB = 1

X2242 (X2-ISOCONJUGATE OF X751) 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 X751
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(1.012444130318\)
▸ Incident Central Lines25 lines

{1, 32}, {3, 1500}, {6, 101}, {36, 574}, {37, 993}, {39, 56}, {42, 1055}, {55, 187}, {58, 2176}, {89, 1252}, {99, 192}, {115, 1478}, {213, 1468}, {230, 495}, {474, 1574}, {499, 1506}, {577, 1060}, {611, 1692}, {713, 932}, {956, 1573}, {1415, 2099}, {1504, 2067}, {2092, 2178}, {2251, 2280}, {2260, 2273}