Recently, we developed a model of binocular fixation, This model predi
cts the amount of cyclovergence as a function of target elevation and
horizontal target vergence. The prediction derives from the assumption
that version and vergence add linearly and that the eye positions are
constrained in three respects: (1) the foveae of the two eyes are dir
ected towards the target, (2) the version component follows Listing's
law, i.e. cycloversion, and horizontal and vertical version are not in
dependent, (3) the vergence component is restricted to a plane approxi
mately perpendicular to Listing's plane, i.e. horizontal, vertical and
torsional vergence are not independent. The version and the vergence
components are characterized by a common primary direction for the two
eyes. We applied this model to data of patients with intermittent exo
tropia. In two patients with an amblyopic eye we found that the common
primary direction rotates towards the amblyopic eye. In the third pat
ient, not suffering from amblyopia, the common primary direction was p
ractically straight ahead. In all three patients, cyclovergence angles
were larger than those found in normal subjects. We found that the in
creased cyclovergence was compatible with our model for normal subject
s if an offset on the horizontal vergence was given. This offset repre
sents the additional convergence effort required in these patients to
overcome the exodeviation of the eyes. According to our model the incr
eased horizontal vergence effort results in excess cyclovergence. The
relation between horizontal vergence and cyclovergence offers a new me
thod for measuring the angle of exotropia.