1. In geometry, identically shaped objects, of same or different size. Ratio constants are used as similarity factors (for distances between two pairs of corresponding points); angles between corresponding lines of similar figures are equal; and other relationships proving similarity exist as well.
2. In physics, the fields of the corresponding parameters of two systems in space and time.
3. With Aristotle, univocal sameness is based on quality or analogical similarity. In other philosophies, developing from Aristotle's notion that likeness is the very first feature attributable to the nature of quality, the causality of partial sameness that allows for the perceiver to apprehend the object, or beings to communicate.
4. In Christian theology, applied to man as the image and likeness of God (Genesis 1.26.27), the sameness viewed as the total process of redemption, moving from the creation of the image to its vivification by grace towards a dynamic assimilation to God.