We have exposed a new graphical-numerical method of determining of approximate values of true anomalies, corresponding to least distance between two elliptical orbits with small natural inclination. This procedure is especially convenient in the case when the pairs of quasicomplanar orbits of asteroids is great. It is applied to the pair of "our" asteroids: 589 \it Croatia \rm and 1564 \it Srbija\rm, which has made possible the comparison of the results here exposed with those previously obtained by another method.