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 conflicting evidence that he publicly denied fathering him but privately accepted him as his son. Cleopatra, on the other hand, made repeated official declarations about Caesarion's parentage, with Caesar as the father. She also built a Caesareum temple near the harbor of Alexandria dedicated to his worship. Cleopatra VII and her nominal joint ruler Ptolemy XIV visited Rome sometime in late 46 BC, presumably without Caesarion. They were given lodging in Caesar's Villa within the Horti Caesaris. Like he did with their father Ptolemy XII, Julius Caesar awarded both Cleopatra VII and Ptolemy XIV with the legal status of 'friend