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 (priest) "Fanny" Lutwidge and was thereby required to give up his college position. He was appointed to a college living as Perpetual Curate of All Saints' Church, Daresbury. Ten of their eleven children, including Charles Lutwidge, were born here. The living was not a wealthy one and Dodgson ran a school in the village to supplement his income. In 1836 he was additionally appointed Examining Chaplain to Charles Longley, the newly created Bishop of Ripon. During this period he and his wife educated all their children at home. The headmaster of Warrington School, Thomas Vere Bayne, who had studied at Jesus