X3984

X3304com[INVERSE(n(TANGENTIAL TRIANGLE))]

< 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) { 1, 748 }: Central Line L(1, 748) { 8, 908 }: Central Line L(8, 908) { 306, 1265 }: Central Line L(306, 1265) { 519, 2478 }: Central Line L(519, 2478) { 329, 3146 }: Central Line L(329, 3146) 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_1 = INCENTER (0.5714, 0.2333) X_748 = INTERSECTION OF LINES X(2)X(31) AND X(9)X(38) (0.4360, 0.0802) X_8 = NAGEL POINT (0.4694, 0.1333) X_908 = POINT ACUBENS (-0.8367, -1.7996) X_306 = ISOTOMIC CONJUGATE OF X(27) (0.3924, 0.0579) X_1265 = ISOTOMIC CONJUGATE OF X(1119) (0.2751, 0.0213) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_2478 = INVERSE-IN-ORTHOCENTROIDAL-CIRCLE OF X(377) (0.5240, 0.1648) X_329 = ISOTOMIC CONJUGATE OF X(189) (0.3847, -0.0222) X_3146 = -CEVA CONJUGATE OF X(2) (0.8367, 0.9831) X_3984 = com[INVERSE(n(TANGENTIAL TRIANGLE))] (0.4254, 0.0682) A B C X3 X63 X1 X748 X8 X908 X306 X1265 X519 X2478 X329 X3146 X3984 (a, b, c) = (5, 6, 7) | AB = 1

X3984 (X3304com[INVERSE(n(TANGENTIAL TRIANGLE))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(Barycentrics a (a-3 b-3 c) \cdot (-a^{2}+b^{2}+c^{2}) : :\)
Search Value (6, 9, 13): \(5.576454589267\)
▸ Incident Central Lines14 lines

{1, 748}, {3, 63}, {8, 908}, {306, 1265}, {329, 3146}, {518, 3304}, {519, 2478}, {546, 3419}, {936, 3306}, {960, 3303}, {2476, 3679}, {3219, 3601}, {3243, 3622}, {3340, 3617}