Sadi Abu-Saymeh and Mowaffaq Hajja, Triangle Centers with Linear
Intercepts and Linear Subangles,
Forum Geometricorum, 5 (2005) 33--36.
Abstract: Let ABC be a triangle with side-lengths a, b, and c, and
with angles A, B, and C. Let AA', BB', and CC' be the cevians through a point
V, let x, y, and z be the lengths of the segments BA', CB', and AC', and let
xi, eta, and zeta be the measures of the angles BAA', CBB', and ACC'.
The centers V for which x, y, and z are linear forms in a, b, and c are characterized.
So are the centers for which xi, eta, and zeta are linear forms in A, B,
and C.
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