X2347

X2-ISOCONJUGATE OF X1476

X2347 = X100-Ceva conjugate of X663
< 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) { 8, 9 }: Central Line L(8, 9) { 6, 41 }: Central Line L(6, 41) { 42, 51 }: Central Line L(42, 51) { 44, 71 }: Central Line L(44, 71) { 43, 165 }: Central Line L(43, 165) { 37, 374 }: Central Line L(37, 374) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_663 = CROSSDIFFERENCE OF X(2) AND X(7) (8.6667, -3.2660) X_8 = NAGEL POINT (0.4694, 0.1333) X_9 = MITTENPUNKT (0.5110, 0.1615) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_51 = CENTROID OF ORTHIC TRIANGLE (0.6093, 0.3186) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_165 = CENTROID OF THE EXCENTRAL TRIANGLE (0.4762, 0.0583) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_374 = CENTROID OF THE PEDAL TRIANGLE OF X(9) (0.5449, 0.2238) X_2347 = -ISOCONJUGATE OF X(1476) (0.5740, 0.2042) A B C X100 X663 X8 X9 X6 X41 X42 X51 X44 X71 X43 X165 X37 X374 X2347 (a, b, c) = (5, 6, 7) | AB = 1

X2347 (X2-ISOCONJUGATE OF X1476) 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 X1476
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(2.023000278178\)
▸ Incident Central Lines12 lines

{6, 41}, {8, 9}, {19, 1877}, {37, 374}, {42, 51}, {43, 165}, {44, 71}, {256, 294}, {284, 2316}, {607, 2354}, {2171, 2262}, {2270, 2285}

▸ Functional Relations5 relations