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 of Mauretania by an Athenian inscription, but her name has not been preserved. She may have been called Drusilla of Mauretania. His father Juba II was the son of King Juba I of Numidia, who was descended from the Berbers of North Africa and was an ally to the Roman Triumvir Pompey. His mother Cleopatra Selene II was the daughter of the Ptolemaic Greek Queen Cleopatra VII of Egypt and the Roman Triumvir Mark Antony. Ptolemy was of Berber, Greek and Roman ancestry. Ptolemy and his sister were the only known children of Juba II and Cleopatra Selene II to reach maturity