The first Eppstein point 
is the point of concurrence of the lines 
, 
, and 
, where 
, 
, and 
are the vertices of the outer Soddy
triangle and 
,
,
and 
are the pairwise contact points of the three tangent circles (Kimberling). It is
denoted 
by Eppstein (2001). Although Eppstein (2001) actually cited (Oldknow 1996), he missed
the fact that 
is equivalent to the inner Oldknow point defined by Oldknow (1996).
The first Eppstein point (originally called the inner Oldknow point) is also the perspectors of a given triangle 
and the tangential
triangles of its outer Soddy triangle (Oldknow
1996).
The first Eppstein point has equivalent triangle center functions
 |  |  |
(1)
|
 |  |  |
(2)
|
where 
is the area of 
,
and is Kimberling center 
.
