X2095

REFLECTION OF X3 IN X57

X2095 is the reflection of X3 in X57.
< 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) { 3, 57 }: OI Line (Incenter–Circumcenter Line) { 1, 3 }: OI Line (Incenter–Circumcenter Line) { 5, 329 }: Central Line L(5, 329) { 381, 527 }: Central Line L(381, 527) { 30, 2094 }: Central Line L(30, 2094) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_1 = INCENTER (0.5714, 0.2333) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_329 = ISOTOMIC CONJUGATE OF X(189) (0.3847, -0.0222) X_381 = MIDPOINT OF X(2) AND X(4) (0.5748, 0.2979) X_527 = DIRECTION OF VECTOR AX + BX + CX, where X = X(7) (0.8698, 0.6836) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_2094 = REFLECTION OF X(2) IN X(57) (0.6901, 0.4221) X_2095 = REFLECTION OF X(3) IN X(57) (0.7275, 0.5200) A B C X3 X57 X1 X5 X329 X381 X527 X30 X2094 X2095 (a, b, c) = (5, 6, 7) | AB = 1

X2095 (REFLECTION OF X3 IN X57) 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): \(-6.021452311161\)
▸ Incident Central Lines5 lines

{1, 3}, {5, 329}, {30, 2094}, {381, 527}, {511, 2097}

▸ Functional Relations1 relation

  • X2095 = reflection of Xi in Xj for these (i,j) : (3, 57), (329, 5)