X2241

X2-ISOCONJUGATE OF X749

< 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, 32 }: Central Line L(1, 32) { 39, 55 }: Central Line L(39, 55) { 56, 187 }: Central Line L(56, 187) { 99, 330 }: Central Line L(99, 330) { 6, 574 }: Brocard Axis { 230, 496 }: Central Line L(230, 496) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_39 = BROCARD MIDPOINT (0.5778, 0.2305) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_187 = INVERSE-IN-CIRCUMCIRCLE OF X(6) (SCHOUTE CENTER) (1.1986, 1.2559) X_99 = STEINER POINT (0.1109, 0.4322) X_330 = ISOTOMIC CONJUGATE OF X(192) (0.4364, 0.1391) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_574 = HARMONIC OF X(187) (0.5539, 0.1910) X_230 = -CEVA CONJUGATE OF X(114) (0.9746, 0.6698) X_496 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(495) (0.5843, 0.2201) X_2241 = -ISOCONJUGATE OF X(749) (0.4799, 0.0999) A B C X1 X32 X39 X55 X56 X187 X99 X330 X6 X574 X230 X496 X2241 (a, b, c) = (5, 6, 7) | AB = 1

X2241 (X2-ISOCONJUGATE OF X749) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X749
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(19.428618610428\)
▸ Incident Central Lines18 lines

{1, 32}, {3, 1015}, {6, 574}, {39, 55}, {56, 187}, {99, 330}, {115, 1479}, {213, 2280}, {230, 496}, {405, 1573}, {498, 1506}, {577, 1062}, {613, 1692}, {902, 1475}, {1191, 2271}, {1388, 1415}, {1504, 2066}, {1870, 1968}