We study the introduction of orientifold 6-planes in the type IIA bran
e configurations known as elliptic models. The N= 4 SO(n) and Sp(k) th
eories softly broken to N = 2 through a mass for the adjoint hypermult
iplet can be realized in this framework in the presence of two orienti
fold planes with opposite RR charge. A large class of beta = 0 models
is served for vanishing sum of hypermultiplet masses by embedding the
type IIA configuration into M-theory. We also End a geometric interpre
tation of Montonen-Olive duality based on the properties of the curves
. We make a proposal for the introduction of non-vanishing sum of hype
rmultiplet masses in a sub-class of models. In the presence of two neg
atively charged orientifold planes and four D6-branes other interestin
g beta = 0 theories are constructed, e.g. Sp(k) with four flavours and
a massive antisymmetric hypermultiplet. We comment on the difficultie
s in obtaining the curves within our framework due to the arbitrary po
sitions of the D6-branes, (C) 1998 Elsevier Science B.V.