X2294

X2-ISOCONJUGATE OF X1175

< 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, 19 }: Central Line L(1, 19) { 37, 65 }: Central Line L(37, 65) { 55, 199 }: Central Line L(55, 199) { 9, 758 }: Central Line L(9, 758) { 209, 756 }: Central Line L(209, 756) { 281, 1148 }: Central Line L(281, 1148) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_19 = CLAWSON POINT (0.6246, 0.4244) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_199 = -CEVA CONJUGATE OF X(6) (0.4796, 0.0487) X_9 = MITTENPUNKT (0.5110, 0.1615) X_758 = EVEN (1, 3) INFINITY POINT (0.1821, -0.2671) X_209 = -CEVA CONJUGATE OF X(37) (0.7303, 0.4592) X_756 = CROSSPOINT OF X(10) AND X(37) (0.5409, 0.1988) X_281 = -CROSS CONJUGATE OF X(9) (0.5796, 0.3202) X_1148 = YIU-HATZIPOLAKIS POINT (0.4716, -1.3697) X_2294 = -ISOCONJUGATE OF X(1175) (0.5748, 0.2454) A B C X1 X19 X37 X65 X55 X199 X9 X758 X209 X756 X281 X1148 X2294 (a, b, c) = (5, 6, 7) | AB = 1

X2294 (X2-ISOCONJUGATE OF X1175) 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 X1175
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(1.444455626618\)
▸ Incident Central Lines21 lines

{1, 19}, {9, 758}, {21, 1761}, {37, 65}, {55, 199}, {73, 1880}, {81, 1762}, {86, 1959}, {101, 2259}, {209, 756}, {226, 1826}, {281, 1148}, {354, 1108}, {942, 2260}, {950, 1839}, {1046, 1778}, {1100, 2170}, {1841, 1859}, {2099, 2256}, {2214, 2218}, {2267, 2285}

▸ Functional Relations3 relations