X1254

ISOGONAL CONJUGATE OF X1098

X1254 is the isogonal conjugate of X1098.
< 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) { 31, 34 }: Central Line L(31, 34) { 42, 65 }: Central Line L(42, 65) { 12, 201 }: Central Line L(12, 201) { 56, 244 }: Central Line L(56, 244) { 46, 255 }: Central Line L(46, 255) { 10, 307 }: Central Line L(10, 307) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_225 = -CEVA CONJUGATE OF X(65) (0.6246, 0.4451) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_201 = -CEVA CONJUGATE OF X(12) (0.4897, 0.1062) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_244 = -LINE CONJUGATE OF X(100) (0.7857, 0.1166) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_255 = ISOGONAL CONJUGATE OF X(158) (0.4217, 0.0365) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_307 = ISOTOMIC CONJUGATE OF X(29) (0.4659, 0.0959) X_1254 = ISOGONAL CONJUGATE OF X(1098) (0.6258, 0.3523) A B C X65 X225 X31 X34 X42 X12 X201 X56 X244 X46 X255 X10 X307 X1254 (a, b, c) = (5, 6, 7) | AB = 1

X1254 (ISOGONAL CONJUGATE OF X1098) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b)\), where f(a,b,c) is as in X1098
Search Value (6, 9, 13): \(0.115446500742\)
▸ Incident Central Lines18 lines

{1, 411}, {4, 774}, {7, 986}, {10, 307}, {12, 201}, {31, 34}, {38, 388}, {40, 1253}, {42, 65}, {46, 255}, {56, 244}, {57, 961}, {200, 1257}, {208, 1096}, {269, 1126}, {279, 291}, {651, 1046}, {750, 1038}

▸ Functional Relations4 relations