X2219

X2-ISOCONJUGATE OF X581

< 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) { 48, 65 }: Central Line L(48, 65) { 10, 219 }: Central Line L(10, 219) { 6, 225 }: Central Line L(6, 225) { 37, 212 }: Central Line L(37, 212) { 158, 1172 }: Central Line L(158, 1172) { 1, 1744 }: Central Line L(1, 1744) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_219 = -CEVA CONJUGATE OF X(55) (0.4277, 0.0625) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_225 = -CEVA CONJUGATE OF X(65) (0.6246, 0.4451) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_212 = -CEVA CONJUGATE OF X(41) (0.4719, 0.0786) X_158 = -CROSS CONJUGATE OF X(92) (0.6215, 0.5117) X_1172 = 1st SARAGOSSA POINT OF X(48) (0.6100, 0.3717) X_1 = INCENTER (0.5714, 0.2333) X_1744 = MIMOSA TRANSFORM OF X(226) (0.7039, 0.4740) X_2219 = -ISOCONJUGATE OF X(581) (0.6033, 0.2913) A B C X48 X65 X10 X219 X6 X225 X37 X212 X158 X1172 X1 X1744 X2219 (a, b, c) = (5, 6, 7) | AB = 1

X2219 (X2-ISOCONJUGATE OF X581) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X581
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(0.306194095308\)
▸ Incident Central Lines10 lines

{1, 1744}, {6, 225}, {10, 219}, {19, 2194}, {37, 212}, {48, 65}, {75, 1812}, {158, 1172}, {994, 1630}, {1953, 2218}