X904

X238-HIRST INVERSE OF X256

X904 is the X238-hirst inverse of X256.
< 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, 257 }: Central Line L(1, 257) { 21, 238 }: Central Line L(21, 238) { 31, 237 }: Central Line L(31, 237) { 101, 733 }: Central Line L(101, 733) { 172, 694 }: Central Line L(172, 694) { 55, 869 }: Central Line L(55, 869) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1909 = CROSSSUM OF PU(9) (0.5132, 0.1854) X_1 = INCENTER (0.5714, 0.2333) X_257 = ISOGONAL CONJUGATE OF X(172) (0.5240, 0.1822) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_237 = -LINE CONJUGATE OF X(2) (0.9894, 1.3825) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_733 = EVEN (- 2, 2) CIRCUMCIRCLE POINT (1.0071, 0.0450) X_172 = TRILINEAR PRODUCT X(6)*X(171) (0.6080, 0.2866) X_694 = ISOGONAL CONJUGATE OF X(385) (1.0179, 0.0378) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_869 = INTERSECTION OF LINES X(1)X(2) AND X(31)X(32) (0.6039, 0.2651) X_904 = -HIRST INVERSE OF X(256) (0.6163, 0.2816) A B C X1909 X1 X257 X21 X238 X31 X237 X101 X733 X172 X694 X55 X869 X904 (a, b, c) = (5, 6, 7) | AB = 1

X904 (X238-HIRST INVERSE OF X256) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a^{2}/(a^{2} + bc) : :\)
Search Value (6, 9, 13): \(0.702654375347\)
▸ Incident Central Lines6 lines

{1, 257}, {21, 238}, {31, 237}, {55, 869}, {101, 733}, {172, 694}

▸ Functional Relations3 relations