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 The expedition sailed up to and around Spitsbergen, managing to reach within ten degrees of the North Pole, but was prevented from travelling further north by thick sea ice, and returned to Britain in September. Sailing with the "Carcass" was a young Horatio Nelson, whose position as a midshipman on the expedition had been arranged by his uncle, Maurice Suckling. Suckling and Lutwidge knew each other well, Lutwidge having served under Suckling on a number of occasions, including time spent acting against privateers in 1771. Nelson was given the role of coxswain of Lutwidge's gig. Nelson managed to obtain command