X2234

X2-ISOCONJUGATE OF X729

X2234 = crossdifference of every pair of points on line X1X798
< 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) { 1, 75 }: Central Line L(1, 75) { 44, 513 }: Central Line L(44, 513) { 662, 922 }: Central Line L(662, 922) { 872, 894 }: Central Line L(872, 894) { 897, 1581 }: Central Line L(897, 1581) { 560, 1958 }: Central Line L(560, 1958) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_662 = TRILINEAR POLE OF LINE X(1)X(21) (0.1811, 0.4951) X_922 = POINT ALBALI (0.9307, 0.9656) X_872 = INTERSECTION OF LINES X(37)X(42) AND X(43)X(75) (0.6029, 0.2656) X_894 = ISOGONAL CONJUGATE OF X(893) (0.5501, 0.2184) X_897 = ISOGONAL CONJUGATE OF X(896) (0.9765, -0.0384) X_1581 = ISOGONAL CONJUGATE OF X(1580) (1.0304, 0.0330) X_560 = 4th POWER POINT (0.6520, 0.3639) X_1958 = CROSSSUM OF PU(23) (0.4653, 0.2026) X_2234 = -ISOCONJUGATE OF X(729) (2.4613, 1.9262) A B C X1 X75 X44 X513 X662 X922 X872 X894 X897 X1581 X560 X1958 X2234 (a, b, c) = (5, 6, 7) | AB = 1

X2234 (X2-ISOCONJUGATE OF X729) 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 X729
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-7.843294865827\)
▸ Incident Central Lines6 lines

{1, 75}, {44, 513}, {560, 1958}, {662, 922}, {872, 894}, {897, 1581}

▸ Functional Relations3 relations