X3039

COMPLEMENT OF X1358

X3039 is the complement of X1358.
< 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) { 8, 3021 }: Central Line L(8, 3021) { 9, 80 }: Central Line L(9, 80) { 2, 1358 }: Central Line L(2, 1358) { 1292, 1376 }: Central Line L(1292, 1376) { 960, 2809 }: Central Line L(960, 2809) 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_3021 = 5th STEVANOVIC POINT (0.3559, 0.3226) X_9 = MITTENPUNKT (0.5110, 0.1615) X_80 = REFLECTION OF INCENTER IN FEUERBACH POINT (0.8980, -0.1000) X_2 = CENTROID (0.5374, 0.2000) X_1358 = BRISSE TRANSFORM OF X(101) (0.7869, 0.1440) X_1292 = COLLINGS TRANSFORM OF X(55) (0.0286, 0.2974) X_1376 = EXSIMILICENTER(CIRCUMCIRCLE, SPIEKER CIRCLE) (0.5265, 0.2074) X_960 = INTERSECTION OF LINES X(1)X(6) AND X(5)X(10) (0.5041, 0.1533) X_2809 = ISOGONAL CONJUGATE OF X(2725) (0.9920, -0.1712) X_3039 = COMPLEMENT OF X(1358) (0.4127, 0.2280) A B C X8 X3021 X9 X80 X2 X1358 X1292 X1376 X960 X2809 X3039 (a, b, c) = (5, 6, 7) | AB = 1

X3039 (COMPLEMENT OF X1358) 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 \(f(a,b,c) = bc[(a - c)^{2}/(a - b + c) + (a - b)^{2}/(a + b - c)]\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(3.564817305201\)

X3039 lies on the Spieker circle.

▸ Incident Central Lines9 lines

{2, 1358}, {8, 3021}, {9, 80}, {960, 2809}, {1292, 1376}, {2814, 3042}, {2826, 3035}, {2832, 3038}, {2835, 3040}

▸ Functional Relations3 relations