A new method for the study of the star formation histories of nearby g
alaxies with resolved stars is presented here. Rather than adopting tr
aditional methods of creating synthetic color-magnitude diagrams (CMDs
) with various star formation histories, the approach taken is to crea
te a set of CMDs which can be combined linearly to reproduce almost an
y star formation history, and use a numerical fit to solve the problem
. In addition, a quantitative fit parameter for determining the simila
rity of an observed and a theoretical CMD is presented, along with a n
umber of tests of this parameter. Finally, a rigorous test of the meth
od is given. (C) 1997 Elsevier Science B.V.