X3916

X35com[INVERSE(n(TANGENTIAL TRIANGLE))]

X3916 = X19-isoconjugate of X1255
< 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) circumcircle: Circumcircle of △ABC { 3, 63 }: Central Line L(3, 63) { 36, 191 }: Central Line L(36, 191) { 8, 376 }: Central Line L(8, 376) { 56, 392 }: Central Line L(56, 392) { 57, 405 }: Central Line L(57, 405) { 9, 474 }: Central Line L(9, 474) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_191 = -CEVA CONJUGATE OF X(1) (0.4859, 0.1209) X_8 = NAGEL POINT (0.4694, 0.1333) X_376 = CENTROID OF THE ANTIPEDAL TRIANGLE OF X(2) (0.4626, 0.0042) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_392 = X(1,6)∩X(10,11) (0.5265, 0.1800) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_405 = EULER LINE INTERCEPT OF LINE X(1)X(6) (0.5325, 0.1870) X_9 = MITTENPUNKT (0.5110, 0.1615) X_474 = EULER LINE INTERCEPT OF LINE X(10)X(56) (0.5441, 0.2176) X_3916 = com[INVERSE(n(TANGENTIAL TRIANGLE))] (0.4670, 0.0870) A B C X3 X63 X36 X191 X8 X376 X56 X392 X57 X405 X9 X474 X3916 (a, b, c) = (5, 6, 7) | AB = 1

X3916 (X35com[INVERSE(n(TANGENTIAL 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 \(f(a,b,c) = a(2a + b + c)(a^{2} - b^{2} - c^{2})\)
Search Value (6, 9, 13): \(6.016969038556\)
▸ Incident Central Lines43 lines

{1, 3052}, {3, 63}, {8, 376}, {9, 474}, {10, 535}, {20, 3419}, {21, 942}, {35, 518}, {36, 191}, {40, 956}, {44, 3216}, {46, 958}, {55, 3555}, {56, 392}, {57, 405}, {58, 3666}, {65, 993}, {140, 908}, {144, 3523}, {283, 1789}, {329, 631}, {404, 3219}, {411, 971}, {517, 2975}, {553, 1125}, {603, 1214}, {758, 2646}, {896, 1193}, {988, 1707}, {1001, 3338}, {1104, 3670}, {1158, 3428}, {1212, 1759}, {1376, 3697}, {1437, 1444}, {1465, 1935}, {1466, 1708}, {1724, 3752}, {1748, 1871}, {1770, 2886}, {2094, 3616}, {2915, 3220}, {3337, 3742}

▸ Functional Relations4 relations