The star i Ori (HD 37043, HR 1899) is a 29.1338 day period, double-lined O-
type spectroscopic binary with a highly eccentric orbit. The classification
of the primary (O9 III) is well established. The secondary, roughly 2 mag
fainter, is generally acknowledged as an early-type B star, but claims abou
t its luminosity class have been made only from its estimated light contrib
ution and not from its spectrum. We have collected visual data with the 1 m
Multiple-Telescope Telescope (MTT; at the Center for High Angular Resoluti
on at Georgia State University) in four wave bands well distributed in orbi
tal phase, with the periastron passage particularly well covered. We presen
t reconstructed component spectra from our tomographic reconstruction techn
ique. According to three Morgan-Keenan (MK) luminosity criteria, we can una
mbiguously characterize the secondary as a B1 III-IV giant (MK type or B0.8
III-IV interpolated type). We also have constructed three line-strength in
dices from eighteen observed individual lines for the secondary and a grid
of comparison stars. These results confirm the typing from the MK luminosit
y criteria. Furthermore, we argue, from the mass ratio (q = 0.5), evolution
ary considerations, the orbital scale, and the unremarkable CNO element equ
ivalent widths of the secondary, that this system is not coevolved nor has
it undergone significant mass transfer. We postulate an origin for the syst
em in a binary-binary collision and suspect that the runaway stars mu Col a
nd AE Aur may have been the original partners for the current i Ori seconda
ry and primary, respectively.