Foundations of geometry different sets of axioms for Euclidean geometry, any of these can replace the Euclidean parallel postulate. The following partial list indicates some of these theorems that are of historical interest. Absolute geometry is a geometry based on an axiom system consisting of all the axioms giving Euclidean geometry except for the parallel postulate or any of its alternatives. The term was introduced by János Bolyai in 1832. It is sometimes referred to as neutral geometry, as it is neutral with respect to the parallel postulate. In Euclid's "Elements", the first 28 propositions and Proposition I.31 avoid using the parallel postulate,
Ptolemy of Mauretania from those during the time Ptolemy co-ruled with JubaII. His royal title on coinage is in Latin " ‘King Ptolemy’" and there is no surviving coinage that shows his royal title in Greek. On his coinage there is no Ancient Egyptian imagery. The coinage from his sole reign displays a variety of themes. Ptolemy personified himself as an elephant on coins. Elephant personification is an ancient coinage tradition in which his late parents did when they ruled Mauretania. The elephant has symbolic functions: an icon representing Africa and an iconic monetary characteristic from the Hellenistic period which displays influence and