X3712

X896com(EXTOUCH TRIANGLE)

X3712 = excentral-to-ABC barycentric image of X896
< 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) { 8, 21 }: Central Line L(8, 21) { 23, 100 }: Central Line L(23, 100) { 522, 650 }: Central Line L(522, 650) { 524, 896 }: Central Line L(524, 896) { 846, 1211 }: Central Line L(846, 1211) { 101, 2768 }: Central Line L(101, 2768) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_8 = NAGEL POINT (0.4694, 0.1333) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_23 = FAR-OUT POINT (1.3871, 2.4232) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_650 = CROSSDIFFERENCE OF X(1) AND X(3) (13.7143, -4.1991) X_524 = ISOGONAL CONJUGATE OF X(111) (0.1376, -0.2297) X_896 = INTERSECTION OF LINES X(1)X(21) AND X(9)X(750) (2.0357, 2.1579) X_846 = 4th SHARYGIN POINT (0.5437, 0.1969) X_1211 = ISOGONAL CONJUGATE OF X(1169) (0.5137, 0.1744) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_2768 = SR(X(109), X(111)) (-0.0003, 0.2027) X_3712 = com(EXTOUCH TRIANGLE) (-0.5459, -0.6165) A B C X8 X21 X23 X100 X522 X650 X524 X896 X846 X1211 X101 X2768 X3712 (a, b, c) = (5, 6, 7) | AB = 1

X3712 (X896com(EXTOUCH 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 \(f(a,b,c) = (b + c - a)(b^{2} + c^{2} - 2a^{2})\)
Search Value (6, 9, 13): \(7.921483414324\)
▸ Incident Central Lines11 lines

{8, 21}, {23, 100}, {37, 3291}, {101, 2768}, {109, 2760}, {522, 650}, {524, 896}, {528, 3006}, {536, 3011}, {846, 1211}, {2229, 2276}

▸ Functional Relations3 relations