X2162

X2-ISOCONJUGATE OF X43

X2162 = isogonal conjugate of X192
< 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, 43 }: Central Line L(6, 43) { 31, 172 }: Central Line L(31, 172) { 81, 330 }: Central Line L(81, 330) { 739, 932 }: Central Line L(739, 932) { 55, 1911 }: Central Line L(55, 1911) { 2, 1977 }: Central Line L(2, 1977) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_192 = -CEVA CONJUGATE OF X(2) (CONGRUENT PARALLELIANS POINT) (0.6147, 0.2635) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_172 = TRILINEAR PRODUCT X(6)*X(171) (0.6080, 0.2866) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_330 = ISOTOMIC CONJUGATE OF X(192) (0.4364, 0.1391) X_739 = EVEN (- 1, 0) CIRCUMCIRCLE POINT (1.0101, 0.0884) X_932 = -CROSS CONJUGATE OF X(100) (0.0354, 0.3132) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_1911 = TRILINEAR POLE OF PU(9) (1.0016, 0.0478) X_2 = CENTROID (0.5374, 0.2000) X_1977 = BICENTRIC DIFFERENCE OF PU(42) (0.8105, 0.1754) X_2162 = -ISOCONJUGATE OF X(43) (0.5193, 0.2016) A B C X192 X6 X43 X31 X172 X81 X330 X739 X932 X55 X1911 X2 X1977 X2162 (a, b, c) = (5, 6, 7) | AB = 1

X2162 (X2-ISOCONJUGATE OF X43) 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 X43
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(4.235651969768\)
▸ Incident Central Lines11 lines

{2, 1977}, {6, 43}, {31, 172}, {55, 1911}, {81, 330}, {604, 1403}, {608, 2201}, {739, 932}, {1397, 1691}, {1407, 1429}, {2056, 2175}

▸ Functional Relations9 relations