Foundations of geometry association of meanings makes the axioms of the system true statements, then the interpretation is called a model of the system. In a model, all the theorems of the system are automatically true statements. In discussing axiomatic systems several properties are often focused on: "Euclidean geometry" is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described (although non-rigorously by modern standards) in his textbook on geometry: the "Elements". Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions (theorems) from these. Although many of Euclid's results had been stated
Ptolemy II of Telmessos Telmessos, as he ruled from 206 BC to until at least 181 BC. According to surviving inscriptions at Telmessos, Ptolemy II didn’t seem to have a royal title nor it is clear his relationship with the Pharaohs in Alexandria. It seems likely that his family had relative autonomy from Ptolemaic control increased. As Ptolemaic power declined rapidly and dramatically outside of Egypt after the death of Ptolemy III Euergetes in 222 BC, probably Ptolemy II’s father with his family had the motive and opportunity for divorcing themselves from Ptolemaic suzerainty. At an unknown date during his father’s reign, Lysimachus with