X2350

X2-ISOCONJUGATE OF X1621

< 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) { 37, 38 }: Central Line L(37, 38) { 39, 42 }: Central Line L(39, 42) { 58, 251 }: Central Line L(58, 251) { 308, 310 }: Central Line L(308, 310) { 579, 941 }: Central Line L(579, 941) { 1400, 1401 }: Central Line L(1400, 1401) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_38 = CROSSPOINT OF X(1) AND X(75) (0.5443, 0.1976) X_39 = BROCARD MIDPOINT (0.5778, 0.2305) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_251 = ISOGONAL CONJUGATE OF X(141) (0.6177, 0.3042) X_308 = ISOTOMIC CONJUGATE OF X(39) (0.4915, 0.1700) X_310 = ISOTOMIC CONJUGATE OF X(42) (0.4762, 0.1536) X_579 = HARMONIC OF X(284) (0.7212, 0.4674) X_941 = ISOGONAL CONJUGATE OF X(940) (0.5671, 0.2256) X_1400 = -BETH CONJUGATE OF X(37) (0.6246, 0.3268) X_1401 = -BETH CONJUGATE OF X(38) (0.6188, 0.3077) X_2350 = -ISOCONJUGATE OF X(1621) (0.6182, 0.3059) A B C X37 X38 X39 X42 X58 X251 X308 X310 X579 X941 X1400 X1401 X2350 (a, b, c) = (5, 6, 7) | AB = 1

X2350 (X2-ISOCONJUGATE OF X1621) 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 X1621
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(0.482404692778\)
▸ Incident Central Lines7 lines

{37, 38}, {39, 42}, {58, 251}, {308, 310}, {579, 941}, {614, 2279}, {1400, 1401}