X3223

ISOGONAL CONJUGATE OF X1740

X3223 is the isogonal conjugate of X1740.
< 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) { 42, 192 }: Central Line L(42, 192) { 43, 213 }: Central Line L(43, 213) { 31, 1582 }: Central Line L(31, 1582) { 1, 1965 }: Central Line L(1, 1965) { 63, 1967 }: Central Line L(63, 1967) { 1045, 2258 }: Central Line L(1045, 2258) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1740 = MIMOSA TRANSFORM OF X(184) (0.7017, 0.3500) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_192 = -CEVA CONJUGATE OF X(2) (CONGRUENT PARALLELIANS POINT) (0.6147, 0.2635) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_213 = -CEVA CONJUGATE OF X(42) (0.6135, 0.2833) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_1582 = POINT CANOPUS (0.5834, 0.2762) X_1 = INCENTER (0.5714, 0.2333) X_1965 = CROSSSUM OF PU(36) (0.5176, 0.2066) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_1967 = TRILINEAR POLE OF PU(36) (1.0067, 0.0434) X_1045 = -CEVA CONJUGATE OF X(1) (0.6065, 0.2647) X_2258 = -ISOCONJUGATE OF X(940) (0.5966, 0.2593) X_3223 = ISOGONAL CONJUGATE OF X(1740) (0.2911, 0.0941) A B C X1740 X42 X192 X43 X213 X31 X1582 X1 X1965 X63 X1967 X1045 X2258 X3223 (a, b, c) = (5, 6, 7) | AB = 1

X3223 (ISOGONAL CONJUGATE OF X1740) 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 \(f(a,b,c) : f(b,c,a) : f(c,a,b)\) = X1740
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
Search Value (6, 9, 13): \(-29.085142894461\)
▸ Incident Central Lines6 lines

{1, 1965}, {31, 1582}, {42, 192}, {43, 213}, {63, 1967}, {1045, 2258}

▸ Functional Relations6 relations