Projection-augmented models are a type of non-immersive, coincident haptic and visual display that uses a physical model as a three dimensional screen for projected visual information. Supporting two sensory modalities consistently should create a strong sense of the object's existence. However, conventional measures of presence have only been defined for displays that surround and isolate a user from the real world. The idea of object-presence is suggested to measure `the subjective experience that a particular object exists in a user's environment, even when that object does not'. This definition is more appropriate for assessing non-immersive displays such as projection-augmented models. Keywords Presence, object-presence, projection-augmented models, coincident haptic and visual display, non-immersive display