X1645

TRIPOLAR CENTROID OF X512

X1645 is the tripolar centroid of X512.
< 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) { 2, 39 }: Central Line L(2, 39) { 351, 865 }: Central Line L(351, 865) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2 = CENTROID (0.5374, 0.2000) X_39 = BROCARD MIDPOINT (0.5778, 0.2305) X_351 = CENTER OF THE PARRY CIRCLE (1.3537, 1.1619) X_865 = INTERCEPT OF EULER LINE AND TRILINEAR POLAR OF X(512) (-0.1837, -1.6869) X_1645 = TRIPOLAR CENTROID OF X(512) (1.0399, 0.5805) A B C X2 X39 X351 X865 X1645 (a, b, c) = (5, 6, 7) | AB = 1

X1645 (TRIPOLAR CENTROID OF X512) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\) (see note above X1635)
Search Value (6, 9, 13): \(-1.279851991920\)
▸ Incident Central Lines2 lines

{2, 39}, {351, 865}

▸ Functional Relations2 relations