X1530

ORTHOJOIN OF X31

< 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) { 4, 8 }: Fuhrmann Line { 118, 516 }: Central Line L(118, 516) { 152, 971 }: Central Line L(152, 971) { 908, 1543 }: Central Line L(908, 1543) 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_8 = NAGEL POINT (0.4694, 0.1333) X_118 = MIDPOINT OF X(4) AND X(101) (0.4133, 0.4603) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_152 = REFLECTION OF X(20) IN X(101) (0.0408, 1.2414) X_971 = INTERSECTION OF LINES X(3)X(9) AND X(4)X(7) (0.6441, 0.7770) X_908 = POINT ACUBENS (-0.8367, -1.7996) X_1543 = ORTHOJOIN OF X(57) (0.1874, -1.2955) X_1530 = ORTHOJOIN OF X(31) (-0.4898, -1.6288) A B C X4 X8 X118 X516 X152 X971 X908 X1543 X1530 (a, b, c) = (5, 6, 7) | AB = 1

X1530 (ORTHOJOIN OF X31) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\) (see note above X1512)
Search Value (6, 9, 13): \(-0.625157133771\)
▸ Incident Central Lines4 lines

{4, 8}, {118, 516}, {152, 971}, {908, 1543}

▸ Functional Relations1 relation