X994

ISOGONAL CONJUGATE OF X993

X994 is the isogonal conjugate of X993.
< 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) { 65, 386 }: Central Line L(65, 386) { 37, 517 }: Central Line L(37, 517) { 31, 759 }: Central Line L(31, 759) { 75, 758 }: Central Line L(75, 758) { 10, 908 }: Central Line L(10, 908) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_993 = MIDPOINT OF X(1) AND X(63) (0.5140, 0.1578) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_386 = INVERSE-IN-BROCARD-CIRCLE OF X(58) (0.5912, 0.2526) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_759 = EVEN (1, 3) CIRCUMCIRCLE POINT (0.9498, -0.1389) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_758 = EVEN (1, 3) INFINITY POINT (0.1821, -0.2671) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_908 = POINT ACUBENS (-0.8367, -1.7996) X_994 = ISOGONAL CONJUGATE OF X(993) (0.6114, 0.3162) A B C X993 X65 X386 X37 X517 X31 X759 X75 X758 X10 X908 X994 (a, b, c) = (5, 6, 7) | AB = 1

X994 (ISOGONAL CONJUGATE OF X993) 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 \(f(a,b,c) = 1/[a^{3} - a(b^{2} + c^{2}) - bc(b + c)]\)
Barycentrics: \(g(a,b,c) : g(b,c,a) : g(c,a,b)\), where \(g(a,b,c) = af(a,b,c)\)
Search Value (6, 9, 13): \(0.120230715703\)
▸ Incident Central Lines5 lines

{10, 908}, {31, 759}, {37, 517}, {65, 386}, {75, 758}

▸ Functional Relations1 relation