X2322

X2-ISOCONJUGATE OF X1410

X2322 = X9-cross conjugate of X2287
< 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, 29 }: Central Line L(8, 29) { 19, 27 }: Central Line L(19, 27) { 2, 253 }: Central Line L(2, 253) { 21, 268 }: Central Line L(21, 268) { 9, 318 }: Central Line L(9, 318) { 4, 391 }: Central Line L(4, 391) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_9 = MITTENPUNKT (0.5110, 0.1615) X_2287 = -ISOCONJUGATE OF X(1042) (0.4590, 0.1157) X_8 = NAGEL POINT (0.4694, 0.1333) X_29 = CEVAPOINT OF INCENTER AND ORTHOCENTER (0.5903, 0.3384) X_19 = CLAWSON POINT (0.6246, 0.4244) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_2 = CENTROID (0.5374, 0.2000) X_253 = -CROSS CONJUGATE OF X(2) (3.5087, 32.5688) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_268 = ISOGONAL CONJUGATE OF X(196) (0.7710, 1.5678) X_318 = ISOTOMIC CONJUGATE OF X(77) (0.5514, 0.2839) X_4 = ORTHOCENTER (0.6122, 0.3958) X_391 = INTERSECTION OF LINES X(2,6) AND X(8,9) (0.4857, 0.1443) X_2322 = -ISOCONJUGATE OF X(1410) (0.5427, 0.2577) A B C X9 X2287 X8 X29 X19 X27 X2 X253 X21 X268 X318 X4 X391 X2322 (a, b, c) = (5, 6, 7) | AB = 1

X2322 (X2-ISOCONJUGATE OF X1410) 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 X1410
Barycentrics: \((b + c - a)^{2}/((b + c) (b^{2} + c^{2} - a^{2})) : :\)
Search Value (6, 9, 13): \(4.677826663513\)
▸ Incident Central Lines16 lines

{2, 253}, {4, 391}, {8, 29}, {9, 318}, {19, 27}, {21, 268}, {28, 956}, {37, 1897}, {86, 648}, {297, 1654}, {346, 1260}, {393, 966}, {653, 1441}, {1043, 2326}, {1213, 1990}, {1222, 1474}

▸ Functional Relations4 relations