Euclid And His Modern Rivals is a book written by Charles Lutwidge Dodgson, better known by his pen name Lewis Carroll. The book was first published in 1885 and is a critique of modern geometry and its reliance on symbolic notation. In the book, Dodgson compares Euclid’s Elements, a classic work on geometry, with the works of modern mathematicians such as Augustus De Morgan, Arthur Cayley, and James Joseph Sylvester. He argues that Euclid’s approach to geometry, which relies on visual proofs and intuitive reasoning, is superior to the modern approach, which he sees as overly abstract and divorced from physical reality. The book is written in a lively and engaging style, and includes numerous examples and illustrations to support Dodgson’s arguments. Overall, Euclid And His Modern Rivals is a fascinating exploration of the history and philosophy of mathematics, and a must-read for anyone interested in the subject.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world’s literature in affordable, high quality, modern editions, that are true to their original work.