X2218

X2-ISOCONJUGATE OF X579

X2218 = X272-Ceva conjugate of X1751
< 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) { 10, 55 }: Central Line L(10, 55) { 37, 41 }: Central Line L(37, 41) { 21, 75 }: Central Line L(21, 75) { 31, 65 }: Central Line L(31, 65) { 25, 225 }: Central Line L(25, 225) { 105, 1305 }: Central Line L(105, 1305) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_272 = ISOGONAL CONJUGATE OF X(209) (-0.2458, -0.0534) X_1751 = MIMOSA TRANSFORM OF X(272) (-0.2166, -0.0439) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_225 = -CEVA CONJUGATE OF X(65) (0.6246, 0.4451) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_1305 = COLLINGS TRANSFORM OF X(440) (0.0205, -0.0724) X_2218 = -ISOCONJUGATE OF X(579) (-0.2871, -0.0657) A B C X272 X1751 X10 X55 X37 X41 X21 X75 X31 X65 X25 X225 X105 X1305 X2218 (a, b, c) = (5, 6, 7) | AB = 1

X2218 (X2-ISOCONJUGATE OF X579) 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 X579
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(0.650046612056\)
▸ Incident Central Lines16 lines

{1, 1762}, {10, 55}, {19, 2204}, {21, 75}, {25, 225}, {28, 1612}, {31, 65}, {37, 41}, {105, 1305}, {209, 1724}, {595, 994}, {596, 993}, {1001, 1036}, {1319, 2208}, {1953, 2219}, {2214, 2294}

▸ Functional Relations3 relations