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) Charles Dodgson (bishop) Charles Dodgson ( – 21 January 1795) was an English Anglican cleric who served in the Church of Ireland as the Bishop of Ossory (1765–1775) then Bishop of Elphin (1775–1795). Dodgson was born in Howden, Yorkshire. His date of birth is not recorded; he was baptised on 10 January 1722. His father, Christopher Dodgson (1696–1750), was the curate there. Charles Dodgson was educated at Westminster School and St. John's College, Cambridge. After ordination, he was appointed to the parish of Bintry, Norfolk in 1746. He moved to the north of England, keeping a school at Stanwix in