X2213

X2-ISOCONJUGATE OF X380

X2213 = isogonal conjugate of X452
< 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) { 56, 71 }: Central Line L(56, 71) { 57, 72 }: Central Line L(57, 72) { 3, 1412 }: Central Line L(3, 1412) { 221, 1245 }: Central Line L(221, 1245) { 73, 1407 }: Central Line L(73, 1407) { 65, 1435 }: Central Line L(65, 1435) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_452 = -HIRST INVERSE OF X(449) (0.5268, 0.1722) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_1412 = -BETH CONJUGATE OF X(81) (0.6374, 0.3603) X_221 = -CEVA CONJUGATE OF X(56) (0.5474, -0.0688) X_1245 = ISOGONAL CONJUGATE OF X(1010) (0.5991, 0.2625) X_73 = CROSSPOINT OF INCENTER AND CIRCUMCENTER (0.5487, 0.1428) X_1407 = -BETH CONJUGATE OF X(57) (0.6456, 0.4125) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_1435 = -BETH CONJUGATE OF X(278) (0.6337, 0.5189) X_2213 = -ISOCONJUGATE OF X(380) (0.6048, 0.2991) A B C X452 X56 X71 X57 X72 X3 X1412 X221 X1245 X73 X1407 X65 X1435 X2213 (a, b, c) = (5, 6, 7) | AB = 1

X2213 (X2-ISOCONJUGATE OF X380) 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 X380
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(0.471609942434\)
▸ Incident Central Lines9 lines

{3, 1412}, {56, 71}, {57, 72}, {65, 1435}, {69, 1434}, {73, 1407}, {221, 1245}, {738, 1439}, {1903, 2285}

▸ Functional Relations1 relation