X941

ISOGONAL CONJUGATE OF X940

X941 is the isogonal conjugate of X940.
< 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) { 6, 21 }: Central Line L(6, 21) { 8, 37 }: Central Line L(8, 37) { 9, 42 }: Central Line L(9, 42) { 2, 314 }: Central Line L(2, 314) { 1, 573 }: Central Line L(1, 573) { 84, 581 }: Central Line L(84, 581) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_940 = POINT ALDEBARAN (0.5757, 0.2411) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_8 = NAGEL POINT (0.4694, 0.1333) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_9 = MITTENPUNKT (0.5110, 0.1615) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_2 = CENTROID (0.5374, 0.2000) X_314 = ISOTOMIC CONJUGATE OF X(65) (0.4457, 0.1206) X_1 = INCENTER (0.5714, 0.2333) X_573 = ORTHOHARMONIC OF X(58) (0.4583, 0.2009) X_84 = ISOGONAL CONJUGATE OF X(40) (0.6071, 0.6816) X_581 = ORTHOHARMONIC OF X(284) (0.5657, 0.2106) X_941 = ISOGONAL CONJUGATE OF X(940) (0.5671, 0.2256) A B C X940 X6 X21 X8 X37 X9 X42 X2 X314 X1 X573 X84 X581 X941 (a, b, c) = (5, 6, 7) | AB = 1

X941 (ISOGONAL CONJUGATE OF X940) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = 1/[a^{2} + a(b + c) + 2bc]\)
Barycentrics: \(g(a,b,c) : g(b,c,a) : g(c,a,b)\), where \(g(a,b,c) = af(a,b,c)\)
Search Value (6, 9, 13): \(1.824565164969\)
▸ Incident Central Lines8 lines

{1, 573}, {2, 314}, {6, 21}, {8, 37}, {9, 42}, {81, 967}, {84, 581}, {111, 931}

▸ Functional Relations6 relations