X2899

ORTHIC-ISOGONAL CONJUGATE OF X8

X2899 is the orthic-isogonal conjugate of X8.
< 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) { 8, 210 }: Central Line L(8, 210) { 12, 344 }: Central Line L(12, 344) { 2, 988 }: Central Line L(2, 988) { 45, 1213 }: Central Line L(45, 1213) { 345, 1329 }: Central Line L(345, 1329) { 190, 1788 }: Central Line L(190, 1788) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_4 = ORTHOCENTER (0.6122, 0.3958) X_8 = NAGEL POINT (0.4694, 0.1333) X_210 = -CEVA CONJUGATE OF X(37) (0.4925, 0.1466) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_344 = ISOTOMIC CONJUGATE OF X(277) (0.6218, 0.2693) X_2 = CENTROID (0.5374, 0.2000) X_988 = INTERSECTION OF LINES X(1)X(3) AND X(9)X(39) (0.5598, 0.2120) X_45 = -BETH CONJUGATE OF X(1) (0.5418, 0.1981) X_1213 = ISOGONAL CONJUGATE OF X(1171) (0.5294, 0.1914) X_345 = ISOTOMIC CONJUGATE OF X(278) (0.3405, 0.0381) X_1329 = COMPLEMENTARY CONJUGATE OF X(1) (0.4903, 0.1280) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_1788 = MIMOSA TRANSFORM OF X(1476) (0.6161, 0.4547) X_2899 = ORTHIC-ISOGONAL CONJUGATE OF X(8) (1.2166, 0.5640) A B C X4 X8 X210 X12 X344 X2 X988 X45 X1213 X345 X1329 X190 X1788 X2899 (a, b, c) = (5, 6, 7) | AB = 1

X2899 (ORTHIC-ISOGONAL CONJUGATE OF X8) 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): \(46.040784162353\)
▸ Incident Central Lines8 lines

{2, 988}, {8, 210}, {12, 344}, {45, 1213}, {56, 1997}, {190, 1788}, {318, 1863}, {345, 1329}

▸ Functional Relations1 relation