X2962

TRILINEAR PRODUCT X17*X18

X2962 = X2-isoconjugate of X2965
< 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) { 93, 225 }: Central Line L(93, 225) { 759, 930 }: Central Line L(759, 930) { 82, 1733 }: Central Line L(82, 1733) { 19, 2290 }: Central Line L(19, 2290) { 1087, 1749 }: Central Line L(1087, 1749) { 37, 2963 }: Central Line L(37, 2963) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2964 = TRILINEAR PRODUCT X(61)*X(62) (0.6488, 0.3350) X_93 = ISOGONAL CONJUGATE OF X(49) (0.5299, 0.2878) X_225 = -CEVA CONJUGATE OF X(65) (0.6246, 0.4451) X_759 = EVEN (1, 3) CIRCUMCIRCLE POINT (0.9498, -0.1389) X_930 = ANTICOMPLEMENT OF X(137) (0.0497, 0.3422) X_82 = ISOGONAL CONJUGATE OF X(38) (0.5943, 0.2703) X_1733 = MIMOSA TRANSFORM OF X(98) (1.1555, 0.7565) X_19 = CLAWSON POINT (0.6246, 0.4244) X_2290 = -ISOCONJUGATE OF X(1141) (1.8189, 2.2759) X_1087 = TRILINEAR SQUARE OF X(5) (0.5422, 0.2643) X_1749 = MIMOSA TRANSFORM OF X(265) (1.4835, 1.4321) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_2963 = BARYCENTRIC PRODUCT X(17)*X(18) (0.4808, 0.1641) X_2962 = TRILINEAR PRODUCT X(17)*X(18) (0.4378, 0.1348) A B C X2964 X93 X225 X759 X930 X82 X1733 X19 X2290 X1087 X1749 X37 X2963 X2962 (a, b, c) = (5, 6, 7) | AB = 1

X2962 (TRILINEAR PRODUCT X17*X18) 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 \(f(A,B,C) = \csc(A + \pi /6) \csc(A - \pi /6)\)
Barycentrics: \((\sin A)f(A,B,C) : (\sin B)f(B,C,A) : (\sin C)f(C,A,B)\)
Search Value (6, 9, 13): \(-17.248570244464\)
▸ Incident Central Lines7 lines

{19, 2290}, {37, 2963}, {82, 1733}, {93, 225}, {759, 930}, {1087, 1749}, {2216, 2964}

▸ Functional Relations2 relations