X2354

X2-ISOCONJUGATE OF X1791

X2354 = X1848-Ceva conjugate of X1193
< 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) { 4, 9 }: Orthocenter–Spieker Line { 25, 31 }: Central Line L(25, 31) { 28, 238 }: Central Line L(28, 238) { 48, 1064 }: Central Line L(48, 1064) { 6, 1245 }: Central Line L(6, 1245) { 256, 1172 }: Central Line L(256, 1172) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1848 = ZOSMA TRANSFORM OF X(171) (0.6100, 0.3866) X_1193 = 3rd SARAGOSSA POINT OF X(1) (0.5959, 0.2573) X_4 = ORTHOCENTER (0.6122, 0.3958) X_9 = MITTENPUNKT (0.5110, 0.1615) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_1064 = INTERSECTION OF LINES X(1)X(4) AND X(3)X(31) (0.5648, 0.2070) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_1245 = ISOGONAL CONJUGATE OF X(1010) (0.5991, 0.2625) X_256 = 1st SHARYGIN POINT (0.5601, 0.2146) X_1172 = 1st SARAGOSSA POINT OF X(48) (0.6100, 0.3717) X_2354 = -ISOCONJUGATE OF X(1791) (0.6324, 0.4423) A B C X1848 X1193 X4 X9 X25 X31 X28 X238 X48 X1064 X6 X1245 X256 X1172 X2354 (a, b, c) = (5, 6, 7) | AB = 1

X2354 (X2-ISOCONJUGATE OF X1791) 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 X1791
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-0.719904402066\)
▸ Incident Central Lines17 lines

{4, 9}, {6, 1245}, {25, 31}, {28, 238}, {48, 1064}, {58, 1474}, {256, 1172}, {278, 1423}, {579, 1707}, {607, 2347}, {1756, 1838}, {1828, 1880}, {1829, 2269}, {1843, 2356}, {1851, 1860}, {2180, 2252}, {2203, 2308}

▸ Functional Relations3 relations