X1120

X2-BLAIKIE TRANSFORM OF X1

For the definition of Blaikie transform, see X903.
< 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) { 56, 100 }: Central Line L(56, 100) { 106, 519 }: Central Line L(106, 519) { 6, 644 }: Central Line L(6, 644) { 58, 643 }: Central Line L(58, 643) { 269, 664 }: Central Line L(269, 664) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1149 = ISOGONAL CONJUGATE OF X(1120) (1.1667, 0.8165) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_644 = TRILINEAR MULTIPLIER FOR YFF PARABOLA (-0.0171, 0.3359) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_643 = TRILINEAR MULTIPLIER FOR KIEPERT PARABOLA (0.0142, 0.3704) X_269 = ISOGONAL CONJUGATE OF X(200) (0.6369, 0.3847) X_664 = TRILINEAR POLE OF LINE X(2)X(7) (0.2391, 0.5142) X_1120 = -BLAIKIE TRANSFORM OF X(1) (1.2041, 0.2000) A B C X1149 X56 X100 X106 X519 X6 X644 X58 X643 X269 X664 X1120 (a, b, c) = (5, 6, 7) | AB = 1

X1120 (X2-BLAIKIE TRANSFORM OF X1) 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 \(f(a,b,c) = bc/(b^{2} + c^{2} + ba + ca - 4bc)\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-6.363514388544\)
▸ Incident Central Lines5 lines

{6, 644}, {56, 100}, {58, 643}, {106, 519}, {269, 664}

▸ Functional Relations3 relations