X1247

ISOGONAL CONJUGATE OF X1046

X1247 is the isogonal conjugate of X1046.
< 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, 409 }: Central Line L(1, 409) { 158, 415 }: Central Line L(158, 415) { 10, 846 }: Central Line L(10, 846) { 65, 1046 }: Central Line L(65, 1046) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_1 = INCENTER (0.5714, 0.2333) X_409 = EULER X(21)-1st-SUBSTITUTION POINT (0.5419, 0.2117) X_158 = -CROSS CONJUGATE OF X(92) (0.6215, 0.5117) X_415 = -HIRST INVERSE OF X(29) (0.7758, 0.8236) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_846 = 4th SHARYGIN POINT (0.5437, 0.1969) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_1046 = -CEVA CONJUGATE OF X(1) (0.6500, 0.3366) X_1247 = ISOGONAL CONJUGATE OF X(1046) (0.4342, 0.1331) A B C X21 X1 X409 X158 X415 X10 X846 X65 X1046 X1247 (a, b, c) = (5, 6, 7) | AB = 1

X1247 (ISOGONAL CONJUGATE OF X1046) 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 X1046)
Search Value (6, 9, 13): \(13.942120846264\)
▸ Incident Central Lines4 lines

{1, 409}, {10, 846}, {65, 1046}, {158, 415}

▸ Functional Relations2 relations