X3038

COMPLEMENT OF X1357

X3038 is the complement of X1357.
< A B C >: Reference Triangle △ABC < M_a M_b M_c >: Medial Triangle △M_a M_b M_c [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 2, 1357 }: Central Line L(2, 1357) { 121, 124 }: Central Line L(121, 124) { 9, 1054 }: Central Line L(9, 1054) { 106, 958 }: Central Line L(106, 958) { 1293, 1376 }: Central Line L(1293, 1376) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) M_a = Midpoint M_a of BC (0.8061, 0.2999) M_b = Midpoint M_b of CA (0.3061, 0.2999) M_c = Midpoint M_c of AB (0.5000, 0.0000) X_2 = CENTROID (0.5374, 0.2000) X_1357 = BRISSE TRANSFORM OF X(100) (0.8000, 0.1866) X_121 = -OF-MEDIAL-TRIANGLE (0.3061, 0.2999) X_124 = -OF-MEDIAL-TRIANGLE (0.6243, 0.0030) X_9 = MITTENPUNKT (0.5110, 0.1615) X_1054 = 6th SHARYGIN POINT (1.4286, -0.2333) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_958 = INTERSECTION OF LINES X(1)X(6) AND X(2)X(12) (0.5166, 0.1682) X_1293 = COLLINGS TRANSFORM OF X(121) (0.0000, 0.2041) X_1376 = EXSIMILICENTER(CIRCUMCIRCLE, SPIEKER CIRCLE) (0.5265, 0.2074) X_3038 = COMPLEMENT OF X(1357) (0.4061, 0.2066) A B C Ma Mb Mc X2 X1357 X121 X124 X9 X1054 X106 X958 X1293 X1376 X3038 (a, b, c) = (5, 6, 7) | AB = 1

X3038 (COMPLEMENT OF X1357) 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 \(f(a,b,c) = bc[b^{2}(a - c)^{2}/(a - b + c) + c^{2}(a - b)^{2}/(a + b - c)]\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(3.825077225272\)

X3038 lies on the Spieker circle.

▸ Incident Central Lines10 lines

{2, 1357}, {9, 1054}, {106, 958}, {121, 124}, {960, 2802}, {1293, 1376}, {2810, 3041}, {2815, 3042}, {2827, 3035}, {2832, 3039}

▸ Functional Relations1 relation