X236

X2-CEVA CONJUGATE OF X188

X236 = X2-Ceva conjugate of X188
< 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, 174 }: Central Line L(2, 174) { 9, 173 }: Central Line L(9, 173) { 8, 178 }: Central Line L(8, 178) 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_188 = 2nd MID-ARC POINT OF ANTICOMPLEMENTARY TRIANGLE (0.5245, 0.1802) X_174 = YFF CENTER OF CONGRUENCE (0.5813, 0.2549) X_9 = MITTENPUNKT (0.5110, 0.1615) X_173 = CONGRUENT ISOSCELIZERS POINT (0.5924, 0.2741) X_8 = NAGEL POINT (0.4694, 0.1333) X_178 = 2nd MID-ARC POINT (0.5439, 0.2098) X_236 = -CEVA CONJUGATE OF X(188) (0.5520, 0.2182) A B C X2 X188 X174 X9 X173 X8 X178 X236 (a, b, c) = (5, 6, 7) | AB = 1

X236 (X2-CEVA CONJUGATE OF X188) 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 \(f(A,B,C) = (\csc A/2)(\cos B/2 + \cos C/2 - \cos A/2)\)
Search Value (6, 9, 13): \(2.169449491684\)
▸ Alternate Coordinates1 form

  • Trilinears: \([1 + \sin(A/2)]/\sin A : [1 + \sin(B/2)]/\sin B : [1 + \sin(C/2)]//\sin C\) (M. Iliev, 4/12/07)

▸ Incident Central Lines3 lines

{2, 174}, {8, 178}, {9, 173}

▸ Functional Relations5 relations