X1245

ISOGONAL CONJUGATE OF X1010

X1245 is the isogonal conjugate of X1010.
< 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) { 3, 31 }: Central Line L(3, 31) { 1, 69 }: Central Line L(1, 69) { 42, 72 }: Central Line L(42, 72) { 71, 213 }: Central Line L(71, 213) { 4, 1039 }: Van Aubel Line { 895, 923 }: Central Line L(895, 923) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1036 = ISOGONAL CONJUGATE OF X(388) (0.5632, 0.2044) X_1039 = ISOGONAL CONJUGATE OF X(1038) (0.6094, 0.3672) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_1 = INCENTER (0.5714, 0.2333) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_213 = -CEVA CONJUGATE OF X(42) (0.6135, 0.2833) X_4 = ORTHOCENTER (0.6122, 0.3958) X_895 = ISOGONAL CONJUGATE OF X(468) (0.9484, -0.0134) X_923 = POINT ALBIREO (1.0002, -0.0544) X_1245 = ISOGONAL CONJUGATE OF X(1010) (0.5991, 0.2625) A B C X1036 X1039 X3 X31 X1 X69 X42 X72 X71 X213 X4 X895 X923 X1245 (a, b, c) = (5, 6, 7) | AB = 1

X1245 (ISOGONAL CONJUGATE OF X1010) 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 X1010
Search Value (6, 9, 13): \(1.050284630615\)
▸ Incident Central Lines7 lines

{1, 69}, {3, 31}, {4, 1039}, {42, 72}, {71, 213}, {895, 923}, {1176, 1203}

▸ Functional Relations4 relations