X2943

EXCENTRAL-ISOGONAL CONJUGATE OF X8

X2943 is the excentral-isogonal conjugate of X8.
< 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) { 40, 978 }: Central Line L(40, 978) { 1, 1106 }: Central Line L(1, 1106) { 517, 1046 }: Central Line L(517, 1046) { 1697, 1742 }: Central Line L(1697, 1742) { 1743, 1766 }: Central Line L(1743, 1766) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_8 = NAGEL POINT (0.4694, 0.1333) X_40 = BEVAN POINT (0.4286, -0.0292) X_978 = -CEVA CONJUGATE OF X(1) (0.7456, 0.4040) X_1 = INCENTER (0.5714, 0.2333) X_1106 = TRILINEAR SQUARE OF X(56) (0.6507, 0.4375) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_1046 = -CEVA CONJUGATE OF X(1) (0.6500, 0.3366) X_1697 = INSIMILICENTER(BEVAN CIRCLE, INCIRCLE) (0.5449, 0.1845) X_1742 = MIMOSA TRANSFORM OF X(212) (0.5314, 0.1406) X_1743 = MIMOSA TRANSFORM OF X(222) (0.6798, 0.3620) X_1766 = MIMOSA TRANSFORM OF X(345) (0.3896, -0.1193) X_2943 = EXCENTRAL-ISOGONAL CONJUGATE OF X(8) (0.5158, 0.0900) A B C X8 X40 X978 X1 X1106 X517 X1046 X1697 X1742 X1743 X1766 X2943 (a, b, c) = (5, 6, 7) | AB = 1

X2943 (EXCENTRAL-ISOGONAL CONJUGATE OF X8) 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) is as described just before X2883
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(7.252936164591\)
▸ Incident Central Lines5 lines

{1, 1106}, {40, 978}, {517, 1046}, {1697, 1742}, {1743, 1766}

▸ Functional Relations2 relations