X2189

X2-ISOCONJUGATE OF X201

X2189 = polar conjugate of X34388
< 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) { 19, 112 }: Central Line L(19, 112) { 21, 270 }: Central Line L(21, 270) { 27, 272 }: Central Line L(27, 272) { 28, 1104 }: Central Line L(28, 1104) { 6, 1175 }: Central Line L(6, 1175) { 25, 1169 }: Central Line L(25, 1169) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_19 = CLAWSON POINT (0.6246, 0.4244) X_112 = Ψ(ORTHOCENTER, SYMMEDIAN POINT) (0.5162, 0.6121) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_270 = ISOGONAL CONJUGATE OF X(201) (0.6168, 0.3881) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_272 = ISOGONAL CONJUGATE OF X(209) (-0.2458, -0.0534) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_1104 = CROSSPOINT OF X(1) AND X(28) (0.6311, 0.3042) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_1175 = 1st SARAGOSSA POINT OF X(65) (0.5976, 0.2549) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_1169 = 1st SARAGOSSA POINT OF X(37) (0.6140, 0.2950) X_2189 = -ISOCONJUGATE OF X(201) (0.6289, 0.4170) A B C X19 X112 X21 X270 X27 X272 X28 X1104 X6 X1175 X25 X1169 X2189 (a, b, c) = (5, 6, 7) | AB = 1

X2189 (X2-ISOCONJUGATE OF X201) 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 X201
Search Value (6, 9, 13): \(-8.382956477163\)
▸ Incident Central Lines12 lines

{6, 1175}, {19, 112}, {21, 270}, {25, 1169}, {27, 272}, {28, 1104}, {37, 2074}, {58, 1474}, {284, 2299}, {359, 2011}, {593, 1014}, {2212, 2311}

▸ Functional Relations3 relations