X2312

X2-ISOCONJUGATE OF X1297

X2312 = X293-Ceva conjugate of X31
< 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) { 19, 31 }: Central Line L(19, 31) { 38, 48 }: Central Line L(38, 48) { 198, 199 }: Central Line L(198, 199) { 240, 293 }: Central Line L(240, 293) { 44, 513 }: Central Line L(44, 513) { 63, 610 }: Central Line L(63, 610) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_293 = ISOGONAL CONJUGATE OF X(240) (0.7839, -0.0636) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_19 = CLAWSON POINT (0.6246, 0.4244) X_38 = CROSSPOINT OF X(1) AND X(75) (0.5443, 0.1976) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_198 = -CEVA CONJUGATE OF X(6) (0.4741, -0.0381) X_199 = -CEVA CONJUGATE OF X(6) (0.4796, 0.0487) X_240 = -LINE CONJUGATE OF X(48) (0.7457, 0.8594) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_610 = -CEVA CONJUGATE OF X(1) (0.4310, -0.2713) X_2312 = -ISOCONJUGATE OF X(1297) (0.6610, 2.9062) A B C X293 X31 X19 X38 X48 X198 X199 X240 X44 X513 X63 X610 X2312 (a, b, c) = (5, 6, 7) | AB = 1

X2312 (X2-ISOCONJUGATE OF X1297) 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 X1297
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-3.329397198646\)
▸ Incident Central Lines13 lines

{19, 31}, {38, 48}, {44, 513}, {63, 610}, {198, 199}, {240, 293}, {444, 1400}, {774, 1973}, {1436, 1473}, {1910, 1933}, {2157, 2159}, {2199, 2285}, {2201, 2310}

▸ Functional Relations3 relations