X835

o-(2, 3) CIRCUMCIRCLE POINT

X835 = trilinear pole of line X6X10
< 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) { 110, 190 }: Central Line L(110, 190) { 335, 741 }: Central Line L(335, 741) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_834 = ODD (2, 3) INFINITY POINT (1.0367, -0.1085) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_335 = ISOTOMIC CONJUGATE OF X(239) (1.0387, 0.0318) X_741 = EVEN (- 1, 1) CIRCUMCIRCLE POINT (1.0071, 0.0451) X_835 = o-(2, 3) CIRCUMCIRCLE POINT (0.1050, 0.4252) A B C X834 X110 X190 X335 X741 X835 (a, b, c) = (5, 6, 7) | AB = 1

X835 (o-(2, 3) 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 \(f(a,b,c) = 1/[a^{1}(b^{3} - c^{3}) + a^{2}(b^{2} - c^{2})]\)
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): \(3.602232534142\)

X835 lies on the circumcircle.

▸ Incident Central Lines2 lines

{110, 190}, {335, 741}

▸ Functional Relations4 relations