X731

EVEN (- 2, 1) CIRCUMCIRCLE POINT

X731 = isogonal conjugate of X730
< 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, 789 }: Central Line L(1, 789) { 32, 825 }: Central Line L(32, 825) { 100, 869 }: Central Line L(100, 869) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_730 = EVEN (- 2, 1) INFINITY POINT (0.0843, -0.1730) X_1 = INCENTER (0.5714, 0.2333) X_789 = o-(- 3, 0) CIRCUMCIRCLE POINT (0.0826, 0.3957) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_825 = o-(0, 3) CIRCUMCIRCLE POINT (0.2886, 0.5665) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_869 = INTERSECTION OF LINES X(1)X(2) AND X(31)X(32) (0.6039, 0.2651) X_731 = EVEN (- 2, 1) CIRCUMCIRCLE POINT (1.0101, 0.0876) A B C X730 X1 X789 X32 X825 X100 X869 X731 (a, b, c) = (5, 6, 7) | AB = 1

X731 (EVEN (- 2, 1) CIRCUMCIRCLE POINT) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = 1/[a ^{-3}(b^{1} + c^{1}) - a^{0}(b ^{-2} + c ^{-2})]\)
Barycentrics: \(g(a,b,c) : g(b,c,a) : g(c,a,b)\), where \(g(a,b,c) = af(a,b,c)\)
Search Value (6, 9, 13): \(-0.377993014271\)

X731 lies on the circumcircle.

▸ Incident Central Lines3 lines

{1, 789}, {32, 825}, {100, 869}

▸ Functional Relations2 relations