X3962

X3146com(EXTOUCH 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) { 10, 12 }: Central Line L(10, 12) { 144, 145 }: Central Line L(144, 145) { 382, 517 }: Central Line L(382, 517) { 78, 1155 }: Central Line L(78, 1155) { 354, 960 }: Central Line L(354, 960) { 8, 1836 }: Central Line L(8, 1836) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_144 = ANTICOMPLEMENT OF X(7) (0.4317, 0.0461) X_145 = ANTICOMPLEMENT OF NAGEL POINT (0.6735, 0.3333) X_382 = REFLECTION OF CIRCUMCENTER IN ORTHOCENTER (0.7245, 0.6894) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_78 = ISOGONAL CONJUGATE OF X(34) (0.3835, 0.0491) X_1155 = SCHRÖDER POINT (1.7143, 2.3328) X_354 = WEILL POINT (0.5823, 0.2533) X_960 = INTERSECTION OF LINES X(1)X(6) AND X(5)X(10) (0.5041, 0.1533) X_8 = NAGEL POINT (0.4694, 0.1333) X_1836 = ZOSMA TRANSFORM OF X(33) (0.6066, 0.3254) X_3962 = com(EXTOUCH TRIANGLE) (0.2694, -0.1466) A B C X10 X12 X144 X145 X382 X517 X78 X1155 X354 X960 X8 X1836 X3962 (a, b, c) = (5, 6, 7) | AB = 1

X3962 (X3146com(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 \(f(a,b,c) = a(b + c)(3b^{2} + 3c^{2} - 3a^{2} - 2bc)\)
Search Value (6, 9, 13): \(10.806416795503\)
▸ Incident Central Lines17 lines

{1, 3683}, {8, 1836}, {10, 12}, {37, 2650}, {40, 3689}, {63, 2646}, {78, 1155}, {144, 145}, {329, 1837}, {354, 960}, {382, 517}, {392, 3636}, {942, 3624}, {1042, 2318}, {1464, 3682}, {1706, 3711}, {3555, 3635}