X1980

BARYCENTRIC PRODUCT OF PU(42)

X1980 = crosspoint of X32 and X692
< 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) { 669, 688 }: Central Line L(669, 688) { 667, 838 }: Central Line L(667, 838) { 813, 929 }: Central Line L(813, 929) { 692, 1252 }: Central Line L(692, 1252) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_692 = -CEVA CONJUGATE OF X(101) (0.2833, 0.5715) X_669 = CROSSDIFFERENCE OF X(2) AND X(39) (-4.3514, 4.6163) X_688 = CROSSDIFFERENCE OF X(6) AND X(76) (1.0103, -0.1475) X_667 = CROSSDIFFERENCE OF X(2) AND X(37) (-6.1667, 5.7155) X_838 = ODD (3, 4) INFINITY POINT (1.0210, -0.1325) X_813 = o-(- 1, 1) CIRCUMCIRCLE POINT (0.9721, -0.0916) X_929 = ISOGONAL CONJUGATE OF X(928) (0.9516, 0.3396) X_1252 = ISOGONAL CONJUGATE OF X(1086) (0.4699, 0.3541) X_1980 = BARYCENTRIC PRODUCT OF PU(42) (-1.2014, 2.3018) A B C X32 X692 X669 X688 X667 X838 X813 X929 X1252 X1980 (a, b, c) = (5, 6, 7) | AB = 1

X1980 (BARYCENTRIC PRODUCT OF PU(42)) 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 \(f(a,b,c) = a^{4}(b - c)\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(0.335344788099\)
▸ Incident Central Lines4 lines

{667, 838}, {669, 688}, {692, 1252}, {813, 929}

▸ Functional Relations5 relations