X3733

X656com(TANGENTIAL TRIANGLE)

X3733 = pole wrt circumcircle of line X1X21
< 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 { 36, 238 }: Central Line L(36, 238) { 6, 798 }: Central Line L(6, 798) { 82, 876 }: Central Line L(82, 876) { 99, 889 }: Central Line L(99, 889) { 110, 901 }: Central Line L(110, 901) { 660, 662 }: Central Line L(660, 662) 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_3952 = com[INVERSE(n(INCENTRAL TRIANGLE))] (0.0408, 0.3666) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_798 = CROSSDIFFERENCE OF X(1) AND X(75) (-13.4299, 10.5763) X_82 = ISOGONAL CONJUGATE OF X(38) (0.5943, 0.2703) X_876 = ISOTOMIC CONJUGATE OF X(874) (0.9873, -0.0185) X_99 = STEINER POINT (0.1109, 0.4322) X_889 = INTERSECTION OF LINES X(99)X(898) AND X(190)X(649) (0.8340, -0.1151) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_901 = ISOGONAL CONJUGATE OF X(900) (1.0000, -0.0000) X_660 = TRILINEAR POLE OF LINE X(1)X(39) (0.9483, -0.0755) X_662 = TRILINEAR POLE OF LINE X(1)X(21) (0.1811, 0.4951) X_3733 = com(TANGENTIAL TRIANGLE) (-8.6667, 7.0763) A B C X3 X3952 X36 X238 X6 X798 X82 X876 X99 X889 X110 X901 X660 X662 X3733 (a, b, c) = (5, 6, 7) | AB = 1

X3733 (X656com(TANGENTIAL TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(a^{2}(b - c)/(b + c) : :\)
Search Value (6, 9, 13): \(4.915693114237\)
▸ Incident Central Lines18 lines

{6, 798}, {28, 2401}, {36, 238}, {82, 876}, {86, 3253}, {99, 889}, {110, 901}, {512, 1326}, {523, 1325}, {649, 834}, {659, 3004}, {660, 662}, {665, 2483}, {669, 2106}, {688, 875}, {741, 2382}, {759, 2718}, {1474, 2424}

▸ Functional Relations4 relations