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
John Charlesworth Dodgson-Charlesworth John Charlesworth Dodgson-Charlesworth John Charlesworth Dodgson-Charlesworth (1815–1880) was a British colliery owner and Member of Parliament for Wakefield between 1857 and 1859. Defeated by his Liberal opponent, William Henry Leatham at the 1859 general election both he and Leatham were subsequently found to have conducted extensive bribery during the campaign. Dodgson-Charlesworth was the son of John Dodgson Charlesworth of Chapelthorpe, Sandal, Wakefield. Baptised 20 August 1815, he was educated at Sedbergh School and St John's College, Cambridge, graduating from St John's with a BA in 1837 and an MA in 1840. In the 1841 census he is described as a