  By reanalyzing the Hipparcos Intermediate Astrometric Data of a large sample
of spectroscopic binaries containing a giant, we obtain a sample of 29 systems
fulfilling a carefully derived set of constraints and hence for which we can
derive an accurate orbital solution. Of these, one is a double-lined
spectroscopic binary and six were not listed in the DMSA/O section of the
catalogue. Using our solutions, we derive the masses of the components in these
systems and statistically analyze them. We also briefly discuss each system
individually.
