Alberti’s treatise Delia Pittura has always been controversial because it does not contain a single drawing. Theoreticians and historians have offered different interpretations of Alberti’s method of perspective, with some substantial differences between them. The interpretation presented here is based on a geometric analysis of the method described by Alberti, starting from the premise that all the geometric elements and principles employed by him have one and only one meaning—that is, there is no ambivalence, inconsistency or ambiguity between them. Thus, it is possible to define the geometric structure of what I refer to here as the Albertian model. The order in which Alberti introduced the definitions (14 in all) as he required each one is notable, and this made it possible to reconsider and apply the definitions, in the sense of associating some of them with the description of the Albertian model presented here.