X3775

X594com[INVERSE(nT(bc, c²))]

X3775 = reflection of X1100 in X1125
< 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) { 1100, 1125 }: Central Line L(1100, 1125) { 10, 141 }: Central Line L(10, 141) { 1, 319 }: Central Line L(1, 319) { 11, 1211 }: Central Line L(11, 1211) { 594, 726 }: Central Line L(594, 726) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1100 = COMPLEMENT OF X(319) (0.5787, 0.2419) X_1125 = COMPLEMENT OF X(10) (0.5459, 0.2083) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_141 = COMPLEMENT OF SYMMEDIAN POINT (0.5061, 0.1663) X_1 = INCENTER (0.5714, 0.2333) X_319 = ISOTOMIC CONJUGATE OF X(79) (0.4549, 0.1161) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_1211 = ISOGONAL CONJUGATE OF X(1169) (0.5137, 0.1744) X_594 = ISOGONAL CONJUGATE OF X(593) (0.5025, 0.1672) X_726 = EVEN (- 2, -1) INFINITY POINT (1.0187, 0.5358) X_3775 = com[INVERSE(nT(bc, c2))] (0.5132, 0.1747) A B C X1100 X1125 X10 X141 X1 X319 X11 X1211 X594 X726 X3775 (a, b, c) = (5, 6, 7) | AB = 1

X3775 (X594com[INVERSE(nT(bc, c²))]) 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 \(f(a,b,c) = (2a + b + c)(b^{2} + c^{2} + bc)\)
Search Value (6, 9, 13): \(3.285306788319\)
▸ Incident Central Lines8 lines

{1, 319}, {10, 141}, {11, 1211}, {238, 1654}, {594, 726}, {984, 3661}, {1100, 1125}, {2308, 3578}

▸ Functional Relations3 relations