Non-Euclidean geometry caused a re-examination of the teaching of geometry based on Euclid's Elements. This curriculum issue was hotly debated at the time and was even the subject of a book, "Euclid and his Modern Rivals", written by Charles Lutwidge Dodgson (1832–1898) better known as Lewis Carroll, the author of "Alice in Wonderland". In analytic geometry a plane is described with Cartesian coordinates : "C" = { ("x,y") : "x", "y" ∈ ℝ }. The points are sometimes identified with complex numbers where ε ∈ { –1, 0, 1}. The Euclidean plane corresponds to the case since the modulus of is given
Skeffington Lutwidge Skeffington Lutwidge Skeffington Lutwidge (13 March 1737 – 15/16 August 1814) was an officer of the Royal Navy, who saw service during the American War of Independence, and the French Revolutionary and Napoleonic Wars. He had a particular connection with Horatio Nelson, who served under Lutwidge as a midshipman on an expedition to the Arctic in in 1773, and again in 1801 while a captain, when Lutwidge was commander in chief in the Downs. Lutwidge served for a considerable period and in a number of ships, in American waters during the War of Independence. During this time he captured a