## X(49) (CENTER OF SINE-TRIPLE-ANGLE CIRCLE)

 Interactive Applet

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 Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears           cos 3A : cos 3B : cos 3C
Barycentrics    sin A cos 3A : sin B cos 3B : sin C cos 3C

V. Thebault, "Sine-triple-angle-circle," Mathesis 65 (1956) 282-284.

X(49) lies on these lines: 1,215    3,155    4,156    5,54    24,568    52,195    93,94    381,578

X(49) is the {X(54),X(110)}-harmonic conjugate of X(5).

X(49) = isogonal conjugate of X(93)
X(49) = eigencenter of cevian triangle of X(94)
X(49) = eigencenter of anticevian triangle of X(50)
X(49) = X(94)-Ceva conjugate of X(50)

This is a joint work of
Humberto José Bortolossi, Lis Ingrid Roque Lopes Custódio and Suely Machado Meireles Dias.