X2227

X2-ISOCONJUGATE OF X699

X2227 = crosspoint of X75 and X1581
< 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) { 38, 75 }: Central Line L(38, 75) { 2, 256 }: Central Line L(2, 256) { 44, 513 }: Central Line L(44, 513) { 31, 1582 }: Central Line L(31, 1582) { 662, 1933 }: Central Line L(662, 1933) { 1581, 1959 }: Central Line L(1581, 1959) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_1581 = ISOGONAL CONJUGATE OF X(1580) (1.0304, 0.0330) X_38 = CROSSPOINT OF X(1) AND X(75) (0.5443, 0.1976) X_2 = CENTROID (0.5374, 0.2000) X_256 = 1st SHARYGIN POINT (0.5601, 0.2146) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_1582 = POINT CANOPUS (0.5834, 0.2762) X_662 = TRILINEAR POLE OF LINE X(1)X(21) (0.1811, 0.4951) X_1933 = CROSSDIFFERENCE OF PU(14) (0.8524, 0.7964) X_1959 = CROSSDIFFERENCE OF PU(23) (-0.9410, -1.7546) X_2227 = -ISOCONJUGATE OF X(699) (2.8719, 1.7027) A B C X75 X1581 X38 X2 X256 X44 X513 X31 X1582 X662 X1933 X1959 X2227 (a, b, c) = (5, 6, 7) | AB = 1

X2227 (X2-ISOCONJUGATE OF X699) 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 X699
Search Value (6, 9, 13): \(-9.800992715200\)
▸ Alternate Coordinates1 form

  • Trilinears: \(a^{2} b^{4} + a^{2} c^{4} - b^{4} c^{2} - b^{2} c^{4} : :\)

▸ Incident Central Lines8 lines

{2, 256}, {31, 1582}, {38, 75}, {44, 513}, {662, 1933}, {1581, 1959}, {1930, 2085}, {1966, 1967}

▸ Functional Relations3 relations