X3941

X3694com(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 { 31, 48 }: Central Line L(31, 48) { 55, 1100 }: Central Line L(55, 1100) { 579, 674 }: Central Line L(579, 674) { 604, 692 }: Central Line L(604, 692) { 56, 1279 }: Central Line L(56, 1279) { 3, 1386 }: Central Line L(3, 1386) 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_31 = 2nd POWER POINT (0.6228, 0.3008) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_1100 = COMPLEMENT OF X(319) (0.5787, 0.2419) X_579 = HARMONIC OF X(284) (0.7212, 0.4674) X_674 = CROSSDIFFERENCE OF X(6) AND X(514) (0.2078, -0.2856) X_604 = -CEVA CONJUGATE OF X(31) (0.6442, 0.3744) X_692 = -CEVA CONJUGATE OF X(101) (0.2833, 0.5715) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_1279 = MIDPOINT OF X(1) AND X(238) (1.0952, 0.8554) X_1386 = MIDPOINT OF INCENTER AND SYMMEDIAN POINT (0.5857, 0.2503) X_3941 = com(TANGENTIAL TRIANGLE) (0.6543, 0.3689) A B C X3 X31 X48 X55 X1100 X579 X674 X604 X692 X56 X1279 X1386 X3941 (a, b, c) = (5, 6, 7) | AB = 1

X3941 (X3694com(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 \(f(a,b,c) = a^{3}(b^{2} + c^{2} - bc - ca - ab)\)
Search Value (6, 9, 13): \(-0.005293636373\)
▸ Incident Central Lines23 lines

{1, 3286}, {3, 1386}, {6, 2223}, {31, 48}, {36, 1631}, {55, 1100}, {56, 1279}, {100, 3759}, {513, 1423}, {579, 674}, {583, 3779}, {604, 692}, {665, 2498}, {934, 2369}, {1009, 3416}, {1011, 3745}, {1402, 3052}, {1444, 1621}, {1445, 2283}, {1617, 3433}, {2209, 3248}, {2245, 3056}, {2260, 2293}