X932

X190-CROSS CONJUGATE OF X100

X932 = X190-cross conjugate of X100
< 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) { 87, 106 }: Central Line L(87, 106) { 105, 330 }: Central Line L(105, 330) { 1, 727 }: Central Line L(1, 727) { 21, 741 }: Central Line L(21, 741) { 81, 715 }: Central Line L(81, 715) { 172, 699 }: Central Line L(172, 699) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_87 = -CROSS CONJUGATE OF X(1) (0.4794, 0.1691) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_330 = ISOTOMIC CONJUGATE OF X(192) (0.4364, 0.1391) X_1 = INCENTER (0.5714, 0.2333) X_727 = EVEN (- 2, -1) CIRCUMCIRCLE POINT (1.0060, 0.1685) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_741 = EVEN (- 1, 1) CIRCUMCIRCLE POINT (1.0071, 0.0451) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_715 = EVEN (- 3, - 1) CIRCUMCIRCLE POINT (1.0000, 0.2040) X_172 = TRILINEAR PRODUCT X(6)*X(171) (0.6080, 0.2866) X_699 = EVEN (- 4, - 2) CIRCUMCIRCLE POINT (0.9822, 0.2692) X_932 = -CROSS CONJUGATE OF X(100) (0.0354, 0.3132) A B C X190 X100 X87 X106 X105 X330 X1 X727 X21 X741 X81 X715 X172 X699 X932 (a, b, c) = (5, 6, 7) | AB = 1

X932 (X190-CROSS CONJUGATE OF X100) 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 \(f(a,b,c) = 1/(bw - cv)\),\(u : v : w\) = X43
Barycentrics: \(g(a,b,c) : g(b,c,a) : g(c,a,b)\), where \(g(a,b,c) = af(a,b,c)\)
Search Value (6, 9, 13): \(6.747278214666\)

X932 lies on the circumcircle.

▸ Incident Central Lines8 lines

{1, 727}, {21, 741}, {81, 715}, {87, 106}, {105, 330}, {172, 699}, {644, 813}, {667, 668}

▸ Functional Relations6 relations