Search results
Results from the WOW.Com Content Network
Euclid (/ ˈ j uː k l ɪ d /; Ancient Greek: Εὐκλείδης; fl. 300 BC) was an ancient Greek mathematician active as a geometer and logician. [2] Considered the "father of geometry", [3] he is chiefly known for the Elements treatise, which established the foundations of geometry that largely dominated the field until the early 19th century.
Euclid's axiomatic approach and constructive methods were widely influential. Many of Euclid's propositions were constructive, demonstrating the existence of some figure by detailing the steps he used to construct the object using a compass and straightedge. His constructive approach appears even in his geometry's postulates, as the first and ...
Data (Greek: Δεδομένα, Dedomena) is a work by Euclid. It deals with the nature and implications of "given" information in geometrical problems. The subject matter is closely related to the first four books of Euclid's Elements.
More formally, the only permissible constructions are those granted by the first three postulates of Euclid's Elements. It turns out to be the case that every point constructible using straightedge and compass may also be constructed using compass alone , or by straightedge alone if given a single circle and its center.
Euclid's original treatment remained unchallenged for over two thousand years, until the simultaneous discoveries of the non-Euclidean geometries by Gauss, Bolyai, Lobachevsky and Riemann in the 19th century led mathematicians to question Euclid's underlying assumptions. [3] One of the early French analysts summarized synthetic geometry this way:
Commentary on the Data of Euclid. This work is written at a relatively advanced level as Theon tends to shorten Euclid's proofs rather than amplify them. [2] Commentary on the Optics of Euclid. This elementary-level work is believed to consist of lecture notes compiled by a student of Theon. [2] Commentary on the Almagest.
Pages in category "Works by Euclid" The following 4 pages are in this category, out of 4 total. This list may not reflect recent changes. E. Euclid's Data;
The Thirteen Books of Euclid's Elements: vol. 1, vol. 2, vol. 3; The Thirteen Books of Euclid's Elements - Second Edition Revised with Additions: Vol. 1-3; PDF files of many of Heath's works, including those on Diophantus, Apollonius, etc. Excerpts from MacTutor. Heath: Everyman's Library Euclid Introduction