X2323

X2-ISOCONJUGATE OF X1411

X2323 = crosspoint of X284 and X2316
< 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) { 1, 6 }: Incenter–Symmedian Line { 54, 71 }: Central Line L(54, 71) { 60, 283 }: Central Line L(60, 283) { 57, 394 }: Central Line L(57, 394) { 48, 573 }: Central Line L(48, 573) { 59, 672 }: Central Line L(59, 672) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2006 = ORTHOCORRESPONDENT OF X(80) (0.9679, -0.1714) X_1 = INCENTER (0.5714, 0.2333) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_54 = KOSNITA POINT (0.5880, 0.2176) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_60 = ISOGONAL CONJUGATE OF X(12) (0.5790, 0.2258) X_283 = -CROSS CONJUGATE OF X(21) (0.4475, 0.0704) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_394 = -CEVA CONJUGATE OF X(3) (0.3778, 0.0284) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_573 = ORTHOHARMONIC OF X(58) (0.4583, 0.2009) X_59 = ISOGONAL CONJUGATE OF X(11) (0.5333, 0.4355) X_672 = CROSSDIFFERENCE OF X(1) AND X(514) (1.9245, 2.2184) X_2323 = -ISOCONJUGATE OF X(1411) (-2.1000, -2.9394) A B C X2006 X1 X6 X54 X71 X60 X283 X57 X394 X48 X573 X59 X672 X2323 (a, b, c) = (5, 6, 7) | AB = 1

X2323 (X2-ISOCONJUGATE OF X1411) 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 X1411
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(7.690986310236\)
▸ Alternate Coordinates1 form

  • Trilinears: \(g(A,B,C) : g(B,C,A) : g(C,A,B)\), where \(g(A, B, C) = 2 \sin A - \cot(A/2)\)

▸ Incident Central Lines30 lines

{1, 6}, {35, 2278}, {36, 2245}, {40, 1181}, {48, 573}, {54, 71}, {55, 2364}, {57, 394}, {59, 672}, {60, 283}, {63, 1993}, {101, 953}, {155, 610}, {239, 1944}, {282, 1069}, {323, 1443}, {517, 2182}, {521, 650}, {527, 651}, {579, 604}, {644, 2325}, {648, 1948}, {674, 692}, {677, 2338}, {758, 1870}, {908, 2006}, {909, 2077}, {1318, 2316}, {1731, 2170}, {1766, 2261}

▸ Functional Relations6 relations