X2178

X2-ISOCONJUGATE OF X90

X2178 = X19-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) { 3, 37 }: Central Line L(3, 37) { 9, 36 }: Central Line L(9, 36) { 6, 41 }: Central Line L(6, 41) { 55, 199 }: Central Line L(55, 199) { 108, 393 }: Central Line L(108, 393) { 230, 444 }: Central Line L(230, 444) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_19 = CLAWSON POINT (0.6246, 0.4244) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_9 = MITTENPUNKT (0.5110, 0.1615) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_199 = -CEVA CONJUGATE OF X(6) (0.4796, 0.0487) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_393 = -CROSS CONJUGATE OF X(4) (0.6247, 0.5263) X_230 = -CEVA CONJUGATE OF X(114) (0.9746, 0.6698) X_444 = EULER LINE INTERCEPT OF LINE X(19)X(232) (0.6260, 0.4319) X_2178 = -ISOCONJUGATE OF X(90) (0.6843, 0.4716) A B C X19 X6 X3 X37 X9 X36 X41 X55 X199 X108 X393 X230 X444 X2178 (a, b, c) = (5, 6, 7) | AB = 1

X2178 (X2-ISOCONJUGATE OF X90) 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 X90
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-0.534610325338\)
▸ Incident Central Lines29 lines

{3, 37}, {6, 41}, {9, 36}, {19, 1609}, {25, 1841}, {45, 1696}, {55, 199}, {101, 579}, {108, 393}, {197, 1402}, {218, 583}, {219, 2245}, {230, 444}, {404, 2345}, {571, 608}, {594, 1376}, {859, 1333}, {910, 1108}, {958, 1213}, {999, 1100}, {1182, 1630}, {1319, 2262}, {1420, 2270}, {1436, 2161}, {1457, 2199}, {1470, 2285}, {1486, 2223}, {2092, 2242}, {2176, 2305}

▸ Functional Relations5 relations