X2248

X2-ISOCONJUGATE OF X846

X2248 = X58-cross conjugate of X6
< 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) { 37, 171 }: Central Line L(37, 171) { 42, 172 }: Central Line L(42, 172) { 694, 741 }: Central Line L(694, 741) { 2, 1931 }: Central Line L(2, 1931) { 31, 2054 }: Central Line L(31, 2054) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_171 = {X(2), X(31)}-HARMONIC CONJUGATE OF X(238) (0.5819, 0.2525) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_172 = TRILINEAR PRODUCT X(6)*X(171) (0.6080, 0.2866) X_694 = ISOGONAL CONJUGATE OF X(385) (1.0179, 0.0378) X_741 = EVEN (- 1, 1) CIRCUMCIRCLE POINT (1.0071, 0.0451) X_2 = CENTROID (0.5374, 0.2000) X_1931 = CROSSDIFFERENCE OF PU(32) (1.7418, 1.7715) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_2054 = -ISOCONJUGATE OF X(1931) (0.9934, -0.0217) X_2248 = -ISOCONJUGATE OF X(846) (0.6179, 0.3050) A B C X58 X6 X37 X171 X42 X172 X694 X741 X2 X1931 X31 X2054 X2248 (a, b, c) = (5, 6, 7) | AB = 1

X2248 (X2-ISOCONJUGATE OF X846) 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 X846
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(0.532044360390\)
▸ Incident Central Lines5 lines

{2, 1931}, {31, 2054}, {37, 171}, {42, 172}, {694, 741}

▸ Functional Relations2 relations