X2317

X2-ISOCONJUGATE OF X1389

< 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, 41 }: Central Line L(6, 41) { 54, 71 }: Central Line L(54, 71) { 163, 284 }: Central Line L(163, 284) { 19, 1449 }: Central Line L(19, 1449) { 182, 1818 }: Central Line L(182, 1818) { 1, 2261 }: Central Line L(1, 2261) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_54 = KOSNITA POINT (0.5880, 0.2176) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_163 = TRILINEAR PRODUCT X(6)*X(110) (0.3174, 0.5883) X_284 = -CROSS CONJUGATE OF X(21) (0.5646, 0.2088) X_19 = CLAWSON POINT (0.6246, 0.4244) X_1449 = {X(1),X(6)}-HARMONIC CONJUGATE OF X(9) (0.5830, 0.2470) X_182 = MIDPOINT OF BROCARD DIAMETER (0.5500, 0.1846) X_1818 = INVERSE MIMOSA TRANSFORM OF X(1282) (-0.1296, -0.2419) X_1 = INCENTER (0.5714, 0.2333) X_2261 = -ISOCONJUGATE OF X(945) (0.5718, 0.0871) X_2317 = -ISOCONJUGATE OF X(1389) (0.5715, 0.1981) A B C X6 X41 X54 X71 X163 X284 X19 X1449 X182 X1818 X1 X2261 X2317 (a, b, c) = (5, 6, 7) | AB = 1

X2317 (X2-ISOCONJUGATE OF X1389) 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 X1389
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(3.999181838347\)
▸ Incident Central Lines13 lines

{1, 2261}, {6, 41}, {19, 1449}, {37, 2265}, {54, 71}, {163, 284}, {182, 1818}, {219, 2267}, {563, 2252}, {692, 2293}, {1100, 1953}, {2173, 2262}, {2272, 2280}