X1957

CROSSSUM OF PU(22)

X1957 = X1910-Ceva conjugate of X240
< 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) { 31, 92 }: Central Line L(31, 92) { 1, 204 }: Central Line L(1, 204) { 63, 240 }: Central Line L(63, 240) { 158, 255 }: Central Line L(158, 255) { 171, 281 }: Central Line L(171, 281) { 212, 243 }: Central Line L(212, 243) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1910 = TRILINEAR POLE OF PU(23) (0.9516, -0.2978) X_240 = -LINE CONJUGATE OF X(48) (0.7457, 0.8594) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_92 = CEVAPOINT OF INCENTER AND CLAWSON POINT (0.5949, 0.3639) X_1 = INCENTER (0.5714, 0.2333) X_204 = -CEVA CONJUGATE OF X(19) (0.6683, 3.3982) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_158 = -CROSS CONJUGATE OF X(92) (0.6215, 0.5117) X_255 = ISOGONAL CONJUGATE OF X(158) (0.4217, 0.0365) X_171 = {X(2), X(31)}-HARMONIC CONJUGATE OF X(238) (0.5819, 0.2525) X_281 = -CROSS CONJUGATE OF X(9) (0.5796, 0.3202) X_212 = -CEVA CONJUGATE OF X(41) (0.4719, 0.0786) X_243 = -LINE CONJUGATE OF X(73) (0.7516, 0.9505) X_1957 = CROSSSUM OF PU(22) (0.5767, 0.4051) A B C X1910 X240 X31 X92 X1 X204 X63 X158 X255 X171 X281 X212 X243 X1957 (a, b, c) = (5, 6, 7) | AB = 1

X1957 (CROSSSUM OF PU(22)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(\tan^{2} A + \tan B \tan C : :\)
Search Value (6, 9, 13): \(-1.475346661719\)
▸ Incident Central Lines16 lines

{1, 204}, {2, 1430}, {19, 1707}, {29, 1468}, {31, 92}, {42, 1013}, {43, 1783}, {63, 240}, {158, 255}, {171, 281}, {212, 243}, {238, 278}, {242, 1395}, {896, 1748}, {1496, 1895}, {1724, 1838}

▸ Functional Relations3 relations