X3036

COMPLEMENT OF X1317

X3036 is the complement of X1317.
< 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) { 3035, 10 }: Central Line L(3035, 10) { 8, 11 }: Central Line L(8, 11) { 9, 80 }: Central Line L(9, 80) { 10, 140 }: Central Line L(10, 140) { 2, 1217 }: Central Line L(2, 1217) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3035 = COMPLEMENT OF X(11) (0.4388, 0.2666) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_8 = NAGEL POINT (0.4694, 0.1333) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_9 = MITTENPUNKT (0.5110, 0.1615) X_80 = REFLECTION OF INCENTER IN FEUERBACH POINT (0.8980, -0.1000) X_140 = MIDPOINT OF X(3) AND X(5) (0.5281, 0.1755) X_2 = CENTROID (0.5374, 0.2000) X_1217 = CRETAN PERSPECTOR (0.5642, 0.3204) X_3036 = COMPLEMENT OF X(1317) (0.6020, 0.1000) A B C X3035 X10 X8 X11 X9 X80 X140 X2 X1217 X3036 (a, b, c) = (5, 6, 7) | AB = 1

X3036 (COMPLEMENT OF X1317) 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 \(f(a,b,c) = bc[(a - 2b + c)^{2}/(a - b + c) + (a + b - 2c)^{2}/(a + b - c)]\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(3.575312239899\)

X3036 lies on the Spieker circle.

▸ Incident Central Lines10 lines

{2, 1217}, {8, 11}, {9, 80}, {10, 140}, {104, 1376}, {153, 2550}, {355, 1158}, {519, 1387}, {960, 2802}, {1706, 1768}

▸ Functional Relations3 relations