X2107

X2-ISOCONJUGATE OF X2106

X2107 = isogonal conjugate of X2669
< 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) { 238, 741 }: Central Line L(238, 741) { 1, 1655 }: Central Line L(1, 1655) { 31, 1979 }: Central Line L(31, 1979) { 672, 1967 }: Central Line L(672, 1967) { 1423, 2116 }: Central Line L(1423, 2116) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2663 = CROSSSUM OF PU(84) (0.5786, 0.2418) X_2664 = CROSSDIFFERENCE OF PU(84) (1.9947, 1.6278) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_741 = EVEN (- 1, 1) CIRCUMCIRCLE POINT (1.0071, 0.0451) X_1 = INCENTER (0.5714, 0.2333) X_1655 = 2nd HATZIPOLAKIS PARALLELIAN POINT (0.5787, 0.2312) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_1979 = CROSSSUM OF PU(41) (1.3801, -0.0730) X_672 = CROSSDIFFERENCE OF X(1) AND X(514) (1.9245, 2.2184) X_1967 = TRILINEAR POLE OF PU(36) (1.0067, 0.0434) X_1423 = -BETH CONJUGATE OF X(192) (0.6537, 0.3692) X_2116 = POINT KEPLER VI (0.0488, 0.8023) X_2107 = -ISOCONJUGATE OF X(2106) (1.0304, 0.0996) A B C X2663 X2664 X238 X741 X1 X1655 X31 X1979 X672 X1967 X1423 X2116 X2107 (a, b, c) = (5, 6, 7) | AB = 1

X2107 (X2-ISOCONJUGATE OF X2106) 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 \(f(a,b,c) = a/[(a + b)(a + c)(b^{2}c^{2} - a^{2}b^{2} - a^{2}c^{2} + abc(b + c - a))]\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-0.708443054451\)
▸ Incident Central Lines5 lines

{1, 1655}, {31, 1979}, {238, 741}, {672, 1967}, {1423, 2116}

▸ Functional Relations3 relations