X2210

X2-ISOCONJUGATE OF X335

X2210 = isogonal conjugate of X334
< 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, 32 }: Central Line L(31, 32) { 36, 58 }: Central Line L(36, 58) { 42, 251 }: Central Line L(42, 251) { 6, 650 }: Central Line L(6, 650) { 667, 838 }: Central Line L(667, 838) { 239, 1281 }: Central Line L(239, 1281) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_334 = ISOTOMIC CONJUGATE OF X(238) (1.0545, 0.0278) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_251 = ISOGONAL CONJUGATE OF X(141) (0.6177, 0.3042) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_650 = CROSSDIFFERENCE OF X(1) AND X(3) (13.7143, -4.1991) X_667 = CROSSDIFFERENCE OF X(2) AND X(37) (-6.1667, 5.7155) X_838 = ODD (3, 4) INFINITY POINT (1.0210, -0.1325) X_239 = -LINE CONJUGATE OF X(42) (4.2109, 3.7992) X_1281 = 3rd SHARYGIN POINT (0.3110, 0.3100) X_2210 = -ISOCONJUGATE OF X(335) (0.6042, 0.2658) A B C X334 X31 X32 X36 X58 X42 X251 X6 X650 X667 X838 X239 X1281 X2210 (a, b, c) = (5, 6, 7) | AB = 1

X2210 (X2-ISOCONJUGATE OF X335) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X335
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-0.581473078039\)
▸ Incident Central Lines13 lines

{6, 650}, {31, 32}, {36, 58}, {42, 251}, {239, 1281}, {284, 2309}, {667, 838}, {894, 1582}, {902, 1110}, {904, 2194}, {1918, 2220}, {1964, 2174}, {2175, 2209}

▸ Functional Relations5 relations