X2105

REFLECTION OF X1114 IN X6

X2105 is the reflection of X1114 in X6.
< 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) { 1114, 6 }: Central Line L(1114, 6) { 30, 1351 }: Central Line L(30, 1351) { 69, 1312 }: Central Line L(69, 1312) { 511, 1113 }: Central Line L(511, 1113) { 518, 2103 }: Central Line L(518, 2103) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1114 = 2nd EULER-LINE-CIRCUMCIRCLE INTERSECTION (0.3178, -0.3746) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_1351 = REFLECTION OF X(3) IN X(6) (0.7000, 0.4324) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_1312 = 1st MOSES INTERSECTION (0.6472, 0.4872) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_1113 = 1st EULER-LINE-CIRCUMCIRCLE INTERSECTION (0.6822, 0.5787) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_2103 = REFLECTION OF X(1114) IN X(1) (0.8250, 0.8412) X_2105 = REFLECTION OF X(1114) IN X(6) (0.8822, 0.9091) A B C X1114 X6 X30 X1351 X69 X1312 X511 X1113 X518 X2103 X2105 (a, b, c) = (5, 6, 7) | AB = 1

X2105 (REFLECTION OF X1114 IN X6) 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): \(-11.187833476468\)
▸ Incident Central Lines5 lines

{6, 1114}, {30, 1351}, {69, 1312}, {511, 1113}, {518, 2103}

▸ Functional Relations1 relation