X3224

ISOGONAL CONJUGATE OF X194

X3224 is the isogonal conjugate of X194.
< 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) { 6, 194 }: Central Line L(6, 194) { 43, 213 }: Central Line L(43, 213) { 32, 1613 }: Central Line L(32, 1613) { 729, 1078 }: Central Line L(729, 1078) { 419, 2207 }: Central Line L(419, 2207) { 1691, 1968 }: Central Line L(1691, 1968) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_194 = -CEVA CONJUGATE OF X(2) (0.6989, 0.3222) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_213 = -CEVA CONJUGATE OF X(42) (0.6135, 0.2833) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_1613 = TCC-PERSPECTOR OF X(31) (0.7015, 0.3763) X_729 = EVEN (- 2, 0) CIRCUMCIRCLE POINT (1.0096, 0.1290) X_1078 = INTERSECTION OF LINES X(2)X(32) AND X(3)X(76) (0.4771, 0.1215) X_419 = -HIRST INVERSE OF X(25) (0.7266, 0.6950) X_2207 = -ISOCONJUGATE OF X(326) (0.6268, 0.5485) X_1691 = RADICAL TRACE OF CIRCUMCIRCLE AND 1st LEMOINE CIRCLE (0.9991, 0.9263) X_1968 = CROSSSUM OF PU(37) (0.5947, 0.4354) X_3224 = ISOGONAL CONJUGATE OF X(194) (0.3345, 0.1195) A B C X194 X6 X43 X213 X32 X1613 X729 X1078 X419 X2207 X1691 X1968 X3224 (a, b, c) = (5, 6, 7) | AB = 1

X3224 (ISOGONAL CONJUGATE OF X194) 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 \(f(a,b,c) = a/(a^{2}b^{2} + a^{2}c^{2} - b^{2}c^{2})\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-6.027885020309\)
▸ Incident Central Lines6 lines

{6, 194}, {32, 1613}, {43, 213}, {419, 2207}, {729, 1078}, {1691, 1968}

▸ Functional Relations7 relations