X2930

TANGENTIAL-ISOGONAL CONJUGATE OF X23

X2930 is the tangential-isogonal conjugate of X23.
< 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) { 6, 110 }: Central Line L(6, 110) { 3, 67 }: Central Line L(3, 67) { 23, 524 }: Central Line L(23, 524) { 49, 575 }: Central Line L(49, 575) { 195, 576 }: Central Line L(195, 576) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_67 = ISOGONAL CONJUGATE OF X(23) (0.7606, -0.2152) X_23 = FAR-OUT POINT (1.3871, 2.4232) X_524 = ISOGONAL CONJUGATE OF X(111) (0.1376, -0.2297) X_49 = CENTER OF SINE-TRIPLE-ANGLE CIRCLE (0.6275, 0.1789) X_575 = ORTHOGONAL OF X(187) (0.5750, 0.2259) X_195 = -CEVA CONJUGATE OF X(3) (0.6761, 0.3331) X_576 = ORTHOHARMONIC OF X(187) (0.6500, 0.3498) X_2930 = TANGENTIAL-ISOGONAL CONJUGATE OF X(23) (-0.0968, 0.8285) A B C X6 X110 X3 X67 X23 X524 X49 X575 X195 X576 X2930 (a, b, c) = (5, 6, 7) | AB = 1

X2930 (TANGENTIAL-ISOGONAL CONJUGATE OF X23) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is as described just before X2883
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(0.822217453138\)
▸ Incident Central Lines13 lines

{1, 2836}, {3, 67}, {6, 110}, {23, 524}, {49, 575}, {69, 2916}, {154, 1177}, {195, 576}, {399, 511}, {518, 2948}, {1498, 2781}, {1503, 2892}, {2453, 2782}

▸ Functional Relations6 relations