X303

ISOTOMIC CONJUGATE OF 2nd NAPOLEON POINT

X303 is the isotomic conjugate of 2nd Napoleon point.
< 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) { 2, 6 }: Centroid–Symmedian Line { 17, 76 }: Central Line L(17, 76) { 13, 99 }: Central Line L(13, 99) { 264, 301 }: Central Line L(264, 301) { 15, 316 }: Central Line L(15, 316) { 300, 311 }: Central Line L(300, 311) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_300 = ISOTOMIC CONJUGATE OF 1st ISODYNAMIC CENTER (0.5239, 0.2121) X_298 = ISOTOMIC CONJUGATE OF 1st ISOGONIC CENTER (0.4724, 0.1301) X_2 = CENTROID (0.5374, 0.2000) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_17 = 1st NAPOLEON POINT (0.5666, 0.2383) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_13 = 1st ISOGONIC CENTER (FERMAT POINT, TORRICELLI POINT) (0.5879, 0.2819) X_99 = STEINER POINT (0.1109, 0.4322) X_264 = ISOTOMIC CONJUGATE OF CIRCUMCENTER (0.5720, 0.3293) X_301 = ISOTOMIC CONJUGATE OF 2nd ISODYNAMIC CENTER (0.8423, -0.0749) X_15 = 1st ISODYNAMIC POINT (0.5519, 0.1878) X_316 = DROUSSENT PIVOT (-0.7850, -1.9118) X_311 = ISOTOMIC CONJUGATE OF X(54) (0.4818, 0.1803) X_303 = ISOTOMIC CONJUGATE OF 2nd NAPOLEON POINT (0.6079, 0.2757) A B C X300 X298 X2 X6 X17 X76 X13 X99 X264 X301 X15 X316 X311 X303 (a, b, c) = (5, 6, 7) | AB = 1

X303 (ISOTOMIC CONJUGATE OF 2nd NAPOLEON POINT) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(\csc^{2} A \sin(A - \pi /6) : \csc^{2} B \sin(B - \pi /6) : \csc^{2} C \sin(C - \pi /6)\)
Barycentrics: \(\csc A \sin(A - \pi /6) : \csc B \sin(B - \pi /6) : \csc C \sin(C - \pi /6)\)
Search Value (6, 9, 13): \(-1.917819709164\)
▸ Incident Central Lines13 lines

{2, 6}, {3, 622}, {5, 621}, {13, 99}, {15, 316}, {17, 76}, {62, 630}, {140, 634}, {264, 301}, {300, 311}, {317, 471}, {381, 617}, {549, 616}

▸ Functional Relations5 relations