X2102

REFLECTION OF X1113 IN X1

X2102 is the reflection of X1113 in X1.
< 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) { 1113, 1 }: Central Line L(1113, 1) { 30, 944 }: Central Line L(30, 944) { 8, 1313 }: Central Line L(8, 1313) { 517, 1114 }: Central Line L(517, 1114) { 518, 2104 }: Central Line L(518, 2104) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1113 = 1st EULER-LINE-CIRCUMCIRCLE INTERSECTION (0.6822, 0.5787) X_1 = INCENTER (0.5714, 0.2333) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_944 = HOFSTADTER TRAPEZOID POINT (0.5306, 0.0708) X_8 = NAGEL POINT (0.4694, 0.1333) X_1313 = 2nd MOSES INTERSECTION (0.4650, 0.0106) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_1114 = 2nd EULER-LINE-CIRCUMCIRCLE INTERSECTION (0.3178, -0.3746) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_2104 = REFLECTION OF X(1113) IN X(6) (0.5178, -0.0443) X_2102 = REFLECTION OF X(1113) IN X(1) (0.4607, -0.1122) A B C X1113 X1 X30 X944 X8 X1313 X517 X1114 X518 X2104 X2102 (a, b, c) = (5, 6, 7) | AB = 1

X2102 (REFLECTION OF X1113 IN X1) 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) is as noted just above X2093
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(2.989541697120\)
▸ Incident Central Lines5 lines

{1, 1113}, {8, 1313}, {30, 944}, {517, 1114}, {518, 2104}

▸ Functional Relations1 relation