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 IV Philopator major antagonist of the apocryphal 3 Maccabees, which describes events following the Battle of Raphia, in both Jerusalem and Alexandria. Ptolemy IV's reign was also marked by trade with other contemporaneous polities. In the 1930s, excavations by Mattingly at a fortress close to Port Dunford (the likely Nikon of antiquity) in present-day southern Somalia yielded a number of Ptolemaic coins. Among these pieces were 17 copper mints from the reigns of Ptolemy III, Ptolemy IV and Ptolemy V, as well as late Imperial Rome and Mamluk Sultanate coins. Ptolemy IV Philopator Ptolemy IV Philopator (, "Ptolemaĩos Philopátōr" "Ptolemy, lover of