X2265

X2-ISOCONJUGATE OF X953

X2265 = crosssum of X1 and X2265
< 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) { 9, 48 }: Central Line L(9, 48) { 44, 513 }: Central Line L(44, 513) { 6, 1411 }: Central Line L(6, 1411) { 19, 1743 }: Central Line L(19, 1743) { 37, 2317 }: Central Line L(37, 2317) { 163, 2341 }: Central Line L(163, 2341) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_9 = MITTENPUNKT (0.5110, 0.1615) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_1411 = -BETH CONJUGATE OF X(80) (1.0110, -0.2153) X_19 = CLAWSON POINT (0.6246, 0.4244) X_1743 = MIMOSA TRANSFORM OF X(222) (0.6798, 0.3620) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_2317 = -ISOCONJUGATE OF X(1389) (0.5715, 0.1981) X_163 = TRILINEAR PRODUCT X(6)*X(110) (0.3174, 0.5883) X_2341 = -ISOCONJUGATE OF X(1464) (0.8872, -0.0824) X_2265 = -ISOCONJUGATE OF X(953) (-3.6429, 5.2489) A B C X9 X48 X44 X513 X6 X1411 X19 X1743 X37 X2317 X163 X2341 X2265 (a, b, c) = (5, 6, 7) | AB = 1

X2265 (X2-ISOCONJUGATE OF X953) 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 X953
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-2.689978912463\)
▸ Incident Central Lines7 lines

{6, 1411}, {9, 48}, {19, 1743}, {37, 2317}, {44, 513}, {163, 2341}, {692, 2310}

▸ Functional Relations1 relation