X2910

ORTHIC-ISOGONAL CONJUGATE OF X40

X2910 is the orthic-isogonal conjugate of X40.
< 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) { 40, 198 }: Central Line L(40, 198) { 9, 1181 }: Central Line L(9, 1181) { 101, 1753 }: Central Line L(101, 1753) { 1, 1864 }: Central Line L(1, 1864) 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_40 = BEVAN POINT (0.4286, -0.0292) X_198 = -CEVA CONJUGATE OF X(6) (0.4741, -0.0381) X_9 = MITTENPUNKT (0.5110, 0.1615) X_1181 = 2nd SARAGOSSA POINT OF X(3) (0.5894, 0.1559) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_1753 = MIMOSA TRANSFORM OF X(280) (0.7066, 0.6139) X_1 = INCENTER (0.5714, 0.2333) X_1864 = ZOSMA TRANSFORM OF X(278) (0.5992, 0.2325) X_2910 = ORTHIC-ISOGONAL CONJUGATE OF X(40) (-1.1450, 0.2790) A B C X4 X40 X198 X9 X1181 X101 X1753 X1 X1864 X2910 (a, b, c) = (5, 6, 7) | AB = 1

X2910 (ORTHIC-ISOGONAL CONJUGATE OF X40) 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): \(-0.853810851061\)
▸ Incident Central Lines4 lines

{1, 1864}, {9, 1181}, {40, 198}, {101, 1753}

▸ Functional Relations1 relation