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 X Alexander I throne, and replacing the former sarcophagus with one made of glass. The citizens of Alexandria were so outraged at this act that they exiled him again almost immediately and attempted to wipe out all record of him. He would later be killed on his way to Cyprus. When Ptolemy X died, Ptolemy IX regained the throne. When Ptolemy IX died in 81 BC, Ptolemy X's wife Berenice III took over the throne for six months. Ptolemy X Alexander I Ptolemy X Alexander I (, "Ptolemaĩos Aléxandros") was King of Egypt from 110 BC to 109 BC and 107 BC till