X2302

X2-ISOCONJUGATE OF X1243

< 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) { 1, 19 }: Central Line L(1, 19) { 54, 71 }: Central Line L(54, 71) { 55, 184 }: Central Line L(55, 184) { 198, 584 }: Central Line L(198, 584) { 6, 2197 }: Central Line L(6, 2197) { 35, 2252 }: Central Line L(35, 2252) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_19 = CLAWSON POINT (0.6246, 0.4244) X_54 = KOSNITA POINT (0.5880, 0.2176) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_184 = INVERSE OF X(125) IN THE BROCARD CIRCLE (0.5788, 0.1496) X_198 = -CEVA CONJUGATE OF X(6) (0.4741, -0.0381) X_584 = ORTHOHARMONIC OF X(500) (0.5720, 0.2209) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_2197 = -ISOCONJUGATE OF X(270) (0.5312, 0.1296) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_2252 = -ISOCONJUGATE OF X(915) (1.0717, 0.4427) X_2302 = -ISOCONJUGATE OF X(1243) (0.5569, 0.1809) A B C X1 X19 X54 X71 X55 X184 X198 X584 X6 X2197 X35 X2252 X2302 (a, b, c) = (5, 6, 7) | AB = 1

X2302 (X2-ISOCONJUGATE OF X1243) 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 X1243
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(4.314503446550\)
▸ Incident Central Lines10 lines

{1, 19}, {6, 2197}, {35, 2252}, {54, 71}, {55, 184}, {198, 584}, {1802, 2267}, {1914, 2288}, {2174, 2264}, {2261, 2268}