X3951

X3303com[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) { 8, 144 }: Central Line L(8, 144) { 77, 201 }: Central Line L(77, 201) { 377, 527 }: Central Line L(377, 527) { 612, 1046 }: Central Line L(612, 1046) { 1, 2308 }: Central Line L(1, 2308) 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_8 = NAGEL POINT (0.4694, 0.1333) X_144 = ANTICOMPLEMENT OF X(7) (0.4317, 0.0461) X_77 = ISOGONAL CONJUGATE OF X(33) (0.5270, 0.1305) X_201 = -CEVA CONJUGATE OF X(12) (0.4897, 0.1062) X_377 = EULER LINE INTERCEPT OF LINE X(7)X(8) (0.5473, 0.2258) X_527 = DIRECTION OF VECTOR AX + BX + CX, where X = X(7) (0.8698, 0.6836) X_612 = INTERSECTION OF LINES X(1)X(2) AND X(9)X(31) (0.5582, 0.2203) X_1046 = -CEVA CONJUGATE OF X(1) (0.6500, 0.3366) X_1 = INCENTER (0.5714, 0.2333) X_2308 = -ISOCONJUGATE OF X(1255) (0.6059, 0.2758) X_3951 = com[INVERSE(n(TANGENTIAL TRIANGLE))] (0.4451, 0.0771) A B C X3 X63 X8 X144 X77 X201 X377 X527 X612 X1046 X1 X2308 X3951 (a, b, c) = (5, 6, 7) | AB = 1

X3951 (X3303com[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 \(f(a,b,c) = a(3b + 3c + a)(b^{2} + c^{2} - a^{2})\)
Search Value (6, 9, 13): \(5.746750554659\)
▸ Incident Central Lines20 lines

{1, 2308}, {3, 63}, {8, 144}, {40, 3681}, {46, 3678}, {69, 3710}, {77, 201}, {329, 3091}, {377, 527}, {518, 3303}, {612, 1046}, {908, 3090}, {936, 3218}, {942, 3305}, {960, 3304}, {976, 1707}, {2093, 3617}, {2292, 3751}, {2475, 3679}, {3419, 3627}