X3739

X37com[n(INCENTRAL)*n(MEDIAL)]

X3739 = complement of X37
< A B C >: Reference Triangle △ABC < M_a M_b M_c >: Medial Triangle △M_a M_b M_c [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 2, 37 }: Central Line L(2, 37) { 11, 126 }: Central Line L(11, 126) { 10, 141 }: Central Line L(10, 141) { 86, 239 }: Central Line L(86, 239) { 44, 894 }: Central Line L(44, 894) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) M_a = Midpoint M_a of BC (0.8061, 0.2999) M_b = Midpoint M_b of CA (0.3061, 0.2999) M_c = Midpoint M_c of AB (0.5000, 0.0000) X_2 = CENTROID (0.5374, 0.2000) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_126 = -OF-MEDIAL-TRIANGLE (0.3119, 0.3228) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_141 = COMPLEMENT OF SYMMEDIAN POINT (0.5061, 0.1663) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_239 = -LINE CONJUGATE OF X(42) (4.2109, 3.7992) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_894 = ISOGONAL CONJUGATE OF X(893) (0.5501, 0.2184) X_3739 = com[n(INCENTRAL)*n(MEDIAL)] (0.5278, 0.1920) A B C Ma Mb Mc X2 X37 X11 X126 X10 X141 X86 X239 X44 X894 X3739 (a, b, c) = (5, 6, 7) | AB = 1

X3739 (X37com[n(INCENTRAL)*n(MEDIAL)]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(ab + ac + 2bc : :\)
Search Value (6, 9, 13): \(2.898641500153\)
▸ Linear Combinations1 combination
▸ Incident Central Lines20 lines

{2, 37}, {7, 966}, {10, 141}, {11, 126}, {44, 894}, {85, 1418}, {86, 239}, {241, 1441}, {274, 1107}, {320, 1654}, {335, 1268}, {740, 1125}, {742, 3008}, {872, 899}, {984, 1698}, {1010, 1104}, {1086, 1213}, {1368, 2886}, {1958, 2278}, {2234, 2309}

▸ Functional Relations7 relations