X(200) (X(8)-CEVA CONJUGATE OF X(9))

 Interactive Applet

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This applet was built with the free and multiplatform dynamic geometry software C.a.R..

 Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears           cot2(A/2) : cot2(B/2) : cot2(C/2)
= (b + c - a)2 : (c + a - b) 2 : (a + b - c)2

Barycentrics    a(b + c - a)2 : b(c + a - b) 2 : c(a + b - c)2

X(200) lies on these lines:
1,2    3,963    9,55    33,281    40,64    46,1004    57,518    63,100    69,269    159,197    219,282    220,728    255,271    318,1089    319,326    329,516    341,1043    756,968

X(200) is the {X(8),X(78)}-harmonic conjugate of X(1). For a list of harmonic conjugates of X(200), click More at the top of this page.

X(200) = reflection of X(I) in X(J) for these (I,J): (1,997), (57,1376)
X(200) = isogonal conjugate of X(269)
X(200) = isotomic conjugate of X(1088)
X(200) = X(8)-Ceva conjugate of X(9)
X(200) = cevapoint of X(220) and X(480)
X(200) = X(220)-cross conjugate of X(9)
X(200) = crosspoint of X(8) and X(346)
X(200) = crosssum of X(I) and X(J) for these (I,J): (56,1407), (57,1420), (1042,1427)
X(200) = X(I)-beth conjugate of X(J) for these (I,J): (100,223), (200,55), (643,165)

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