X1063

ISOGONAL CONJUGATE OF X1062

X1063 is the isogonal conjugate of X1062.
< 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) { 33, 79 }: Central Line L(33, 79) { 34, 80 }: Central Line L(34, 80) { 1, 378 }: Central Line L(1, 378) { 8, 475 }: Central Line L(8, 475) { 21, 1060 }: Central Line L(21, 1060) { 65, 1061 }: Central Line L(65, 1061) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1062 = INTERSECTION OF LINES X(1)X(3) AND X(5)X(33) (0.4633, 0.0347) X_33 = PERSPECTOR OF THE ORTHIC AND INTANGENTS TRIANGLES (0.6019, 0.3546) X_79 = ISOGONAL CONJUGATE OF X(35) (0.5976, 0.3019) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_80 = REFLECTION OF INCENTER IN FEUERBACH POINT (0.8980, -0.1000) X_1 = INCENTER (0.5714, 0.2333) X_378 = REFLECTION OF X(22) IN X(3) (0.5857, 0.3262) X_8 = NAGEL POINT (0.4694, 0.1333) X_475 = EULER LINE INTERCEPT OF LINE X(10)X(34) (-3.6531, -10.7644) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_1060 = INTERSECTION OF LINES X(1)X(3) AND X(5)X(34) (0.5181, 0.1353) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_1061 = ISOGONAL CONJUGATE OF X(1060) (0.6067, 0.3472) X_1063 = ISOGONAL CONJUGATE OF X(1062) (0.6152, 0.5187) A B C X1062 X33 X79 X34 X80 X1 X378 X8 X475 X21 X1060 X65 X1061 X1063 (a, b, c) = (5, 6, 7) | AB = 1

X1063 (ISOGONAL CONJUGATE OF X1062) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(A,B,C) : f(B,C,A) : f(C,A,B)\), where \(f(A,B,C) = 1/(2 - \sec B \sec C)\)
Barycentrics: \(g(A,B,C) : g(B,C,A) : g(C,A,B)\), where \(g(A,B,C) = (\sin A) f(A,B,C)\)
Search Value (6, 9, 13): \(0.423457147481\)
▸ Incident Central Lines6 lines

{1, 378}, {8, 475}, {21, 1060}, {33, 79}, {34, 80}, {65, 1061}

▸ Functional Relations1 relation