Parallel (geometry) as a pair of straight lines in a plane which do not meet appears as Definition 23 in Book I of Euclid's Elements. Alternative definitions were discussed by other Greeks, often as part of an attempt to prove the parallel postulate. Proclus attributes a definition of parallel lines as equidistant lines to Posidonius and quotes Geminus in a similar vein. Simplicius also mentions Posidonius' definition as well as its modification by the philosopher Aganis. At the end of the nineteenth century, in England, Euclid's Elements was still the standard textbook in secondary schools. The traditional treatment of geometry was being
Ptolemy of Mauretania from those during the time Ptolemy co-ruled with JubaII. His royal title on coinage is in Latin " ‘King Ptolemy’" and there is no surviving coinage that shows his royal title in Greek. On his coinage there is no Ancient Egyptian imagery. The coinage from his sole reign displays a variety of themes. Ptolemy personified himself as an elephant on coins. Elephant personification is an ancient coinage tradition in which his late parents did when they ruled Mauretania. The elephant has symbolic functions: an icon representing Africa and an iconic monetary characteristic from the Hellenistic period which displays influence and