X3037

COMPLEMENT OF X1356

X3037 is the complement of X1356.
< A B C >: Reference Triangle △ABC < M_a M_b M_c >: Medial Triangle △M_a M_b M_c [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 2, 1356 }: Central Line L(2, 1356) { 741, 958 }: Central Line L(741, 958) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) M_a = Midpoint M_a of BC (0.8061, 0.2999) M_b = Midpoint M_b of CA (0.3061, 0.2999) M_c = Midpoint M_c of AB (0.5000, 0.0000) X_2 = CENTROID (0.5374, 0.2000) X_1356 = BRISSE TRANSFORM OF X(99) (0.8033, 0.2072) X_741 = EVEN (- 1, 1) CIRCUMCIRCLE POINT (1.0071, 0.0451) X_958 = INTERSECTION OF LINES X(1)X(6) AND X(2)X(12) (0.5166, 0.1682) X_3037 = COMPLEMENT OF X(1356) (0.4045, 0.1963) A B C Ma Mb Mc X2 X1356 X741 X958 X3037 (a, b, c) = (5, 6, 7) | AB = 1

X3037 (COMPLEMENT OF X1356) 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 \(f(a,b,c) = bc[b^{4}(a^{2} - c^{2})^{2}/(a - b + c) + c^{4}(a^{2} - b^{2})^{2}/(a + b - c)]\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(3.883934095348\)

X3037 lies on the Spieker circle.

▸ Incident Central Lines2 lines

{2, 1356}, {741, 958}

▸ Functional Relations1 relation