X3703

X31com(EXTOUCH TRIANGLE)

X3703 = excentral-to-ABC barycentric image of X31
< 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) { 8, 21 }: Central Line L(8, 21) { 38, 141 }: Central Line L(38, 141) { 11, 312 }: Central Line L(11, 312) { 209, 306 }: Central Line L(209, 306) { 346, 497 }: Central Line L(346, 497) { 5, 1089 }: Central Line L(5, 1089) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_8 = NAGEL POINT (0.4694, 0.1333) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_38 = CROSSPOINT OF X(1) AND X(75) (0.5443, 0.1976) X_141 = COMPLEMENT OF SYMMEDIAN POINT (0.5061, 0.1663) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_312 = ISOTOMIC CONJUGATE OF X(57) (0.4256, 0.1081) X_209 = -CEVA CONJUGATE OF X(37) (0.7303, 0.4592) X_306 = ISOTOMIC CONJUGATE OF X(27) (0.3924, 0.0579) X_346 = ISOTOMIC CONJUGATE OF X(279) (0.3948, 0.0827) X_497 = CROSSPOINT OF GERGONNE POINT AND NAGEL POINT (0.5593, 0.1851) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_1089 = TRILINEAR SQUARE OF X(10) (0.4606, 0.1381) X_3703 = com(EXTOUCH TRIANGLE) (0.4338, 0.1070) A B C X8 X21 X38 X141 X11 X312 X209 X306 X346 X497 X5 X1089 X3703 (a, b, c) = (5, 6, 7) | AB = 1

X3703 (X31com(EXTOUCH TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = (b + c - a)(b^{2} + c^{2})\)
Search Value (6, 9, 13): \(5.021073442054\)
▸ Incident Central Lines13 lines

{2, 1390}, {5, 1089}, {8, 21}, {11, 312}, {38, 141}, {63, 3416}, {200, 1040}, {209, 306}, {321, 2886}, {346, 497}, {594, 2276}, {726, 2887}, {984, 1211}

▸ Functional Relations2 relations