X2390

ISOGONAL CONJUGATE OF X2370

As the isogonal conjugate of a point on the circumcircle, X2390 lies on the line at infinity.
< 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) { 31, 56 }: Central Line L(31, 56) { 51, 65 }: Central Line L(51, 65) { 30, 511 }: Central Line L(30, 511) { 1361, 1455 }: Central Line L(1361, 1455) { 1854, 2098 }: Central Line L(1854, 2098) { 1777, 2217 }: Central Line L(1777, 2217) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1797 = INVERSE MIMOSA TRANSFORM OF X(44) (1.0000, 0.0000) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_51 = CENTROID OF ORTHIC TRIANGLE (0.6093, 0.3186) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_1361 = BRISSE TRANSFORM OF X(104) (0.5091, 0.4581) X_1455 = -BETH CONJUGATE OF X(515) (0.6407, 1.1028) X_1854 = ZOSMA TRANSFORM OF X(208) (0.5955, 0.5353) X_2098 = REFLECTION OF X(56) IN X(1) (0.5113, 0.1228) X_1777 = MIMOSA TRANSFORM OF X(1167) (0.5860, 0.4166) X_2217 = -ISOCONJUGATE OF X(573) (0.6164, 0.5653) X_2390 = ISOGONAL CONJUGATE OF X(2370) (0.6246, 0.4244) A B C X1797 X6 X31 X56 X51 X65 X30 X511 X1361 X1455 X1854 X2098 X1777 X2217 X2390 (a, b, c) = (5, 6, 7) | AB = 1

X2390 (ISOGONAL CONJUGATE OF X2370) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/U : 1/V : 1/W\), where \(U : V : W\) = X2370
Barycentrics: \(a/U : b/V : c/W\)
▸ Incident Central Lines6 lines

{30, 511}, {31, 56}, {51, 65}, {1361, 1455}, {1777, 2217}, {1854, 2098}

▸ Functional Relations6 relations