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,
Reign of Cleopatra Reign of Cleopatra The reign of Cleopatra VII of the Ptolemaic Kingdom of Egypt began with the death of her father, the ruling pharaoh Ptolemy XII Auletes, by March 51 BC. It ended with her death on 10 or 12 August 30 BC. Following the reign of Cleopatra, the country of Egypt was transformed into a province of the Roman Empire and the Hellenistic period came to an end. During her reign she ruled Egypt and other territories as an absolute monarch, in the tradition of the Ptolemaic dynasty's founder Ptolemy I Soter (r. 305–283 BC) as well as Alexander