X3256

ISOGONAL CONJUGATE OF X3255

X3256 is the isogonal conjugate of X3255.
< 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) { 1, 3 }: OI Line (Incenter–Circumcenter Line) { 42, 109 }: Central Line L(42, 109) { 100, 226 }: Central Line L(100, 226) { 1174, 1200 }: Central Line L(1174, 1200) { 1259, 1706 }: Central Line L(1259, 1706) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3255 = INTERSECTION OF X(104)X(551) AND X(390)X(1392) (0.5578, 0.2112) X_1 = INCENTER (0.5714, 0.2333) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_226 = -CEVA CONJUGATE OF X(65) (0.5778, 0.2588) X_1174 = 1st SARAGOSSA POINT OF X(57) (0.5906, 0.2472) X_1200 = 3rd SARAGOSSA POINT OF X(55) (0.5972, 0.2387) X_1259 = ISOGONAL CONJUGATE OF X(1118) (0.3105, 0.0160) X_1706 = EXSIMILICENTER(BEVAN CIRCLE, SPIEKER CIRCLE) (0.5323, 0.2107) X_3256 = ISOGONAL CONJUGATE OF X(3255) (0.5838, 0.2559) A B C X3255 X1 X3 X42 X109 X100 X226 X1174 X1200 X1259 X1706 X3256 (a, b, c) = (5, 6, 7) | AB = 1

X3256 (ISOGONAL CONJUGATE OF X3255) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a (b c + (b + c - a)^{2})/(b + c - a) : :\)
Search Value (6, 9, 13): \(0.921755387012\)
▸ Incident Central Lines5 lines

{1, 3}, {42, 109}, {100, 226}, {1174, 1200}, {1259, 1706}

▸ Functional Relations1 relation