X2264

X2-ISOCONJUGATE OF X951

< 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) { 6, 19 }: Central Line L(6, 19) { 9, 55 }: Central Line L(9, 55) { 37, 41 }: Central Line L(37, 41) { 44, 71 }: Central Line L(44, 71) { 56, 610 }: Central Line L(56, 610) { 48, 1108 }: Central Line L(48, 1108) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_19 = CLAWSON POINT (0.6246, 0.4244) X_9 = MITTENPUNKT (0.5110, 0.1615) 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_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_610 = -CEVA CONJUGATE OF X(1) (0.4310, -0.2713) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_1108 = CROSSPOINT OF X(2) AND X(84) (0.6346, 0.3084) X_2264 = -ISOCONJUGATE OF X(951) (0.5939, 0.2282) A B C X6 X19 X9 X55 X37 X41 X44 X71 X56 X610 X48 X1108 X2264 (a, b, c) = (5, 6, 7) | AB = 1

X2264 (X2-ISOCONJUGATE OF X951) 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 X951
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(1.733440248787\)
▸ Incident Central Lines30 lines

{3, 1723}, {6, 19}, {9, 55}, {37, 41}, {40, 1743}, {44, 71}, {48, 1108}, {56, 610}, {218, 1766}, {281, 1837}, {284, 1731}, {294, 2298}, {572, 2301}, {579, 1155}, {910, 1200}, {942, 1781}, {960, 1183}, {1100, 2170}, {1118, 1249}, {1172, 1859}, {1195, 2245}, {1212, 2268}, {1333, 1951}, {1436, 1470}, {1834, 1842}, {1839, 1901}, {1898, 1903}, {2161, 2259}, {2173, 2260}, {2174, 2302}

▸ Functional Relations2 relations