In this paper, we present a new method that improves the alignment of equivalent terms monolingually acquired from bilingual comparable corpora: the Compositional Method with Context-Based Projection (CMCBP). Our overall objective is to identify and to translate high specialized terminology made up of multi-word terms acquired from comparable corpora. Our evaluation in the medical domain and for two pairs of languages demonstrates that CMCBP outperforms the state-of-art compositional approach commonly used for translationally equivalent multi-word term discovery from comparable corpora.