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,
Antiochus (father of Seleucus I Nicator) Antiochus (father of Seleucus I Nicator) Antiochus (Greek: Ἀντίοχος; fl. 4th century BC) was a Macedonian man who lived during the time of Philip II of Macedon (ruled 359-336 BC). He originally came from Orestis, Macedonia. Antiochus served as an officer under Philip II, and gained distinction as a military general. Antiochus was from an upper noble family. His father was probably called Seleucus, his brother was called Ptolemy and he probably had a nephew called Seleucus. Antiochus married a Macedonian woman called Laodice and in about 358 BC Laodice bore Antiochus a son Seleucus I Nicator, who became a