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
Charles Dodgson (bishop) Cumberland and becoming Rector of Kirby Wiske in 1755. He was tutor to Lord Algernon Percy, the son of the Duke of Northumberland; in 1762, the Duke gave him the parish of Elsdon, Northumberland. Dodgson was elected as a fellow of the Royal Society in 1762. Rapidly promoted, he was nominated to the bishopric of Ossory on 22 June and consecrated at St. Werburgh's Church, Dublin on 11 August 1765 by William Carmichael, Archbishop of Dublin. Ten years later, he was translated to the bishopric of Elphin by letters patent on 12 April 1775. King George III congratulated him on