Euclid and his Modern Rivals Euclid and his Modern Rivals Euclid and his Modern Rivals is a mathematical book published in 1879 by the English mathematician Charles Lutwidge Dodgson (1832–1898), better known under his literary pseudnym "Lewis Carroll". It considers the pedagogic merit of thirteen contemporary geometry textbooks, demonstrating how each in turn is either inferior to or functionally identical to Euclid's "Elements". In it Dodgson supports using Euclid's geometry textbook "The Elements" as the geometry textbook in schools against more modern geometry textbooks that were replacing it, advocated by the Association for the Improvement of Geometrical Teaching, satirized in the book as the "Association
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