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The Elements (Ancient Greek: Στοιχεῖα Stoikheîa) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions.
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
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.
The Data of Euclid, trans. from the text of Menge by George L. McDowell and Merle A. Sokolik, Baltimore: Union Square Press, 1993 (ISBN 0-9635924-1-6) The Medieval Latin Translation of the Data of Euclid, translated by Shuntaro Ito, Tokyo University Press, 1980 and Birkhauser, 1998.
He may also have edited some other works by Euclid and Ptolemy, although here the evidence is less certain. The editions ascribed to Theon are: Euclid's Elements. Theon's edition of the Elements was the only known version until François Peyrard discovered an older copy of the Elements in the Vatican Library in 1808. [8]
Papyrus Oxyrhynchus 29 (P. Oxy. 29) is a fragment of the second book of the Elements of Euclid in Greek. It was discovered by Grenfell and Hunt in 1897 in Oxyrhynchus. The fragment was originally dated to the end of the third century or the beginning of the fourth century, although more recent scholarship suggests a date of 75–125 CE.
Rational Mechanics: The Classic Notre Dame Course (Dover Books on Physics) (2014) by R. Catesby Taliaferro and A. Hahn Conics Books I-IV (2013) by Apollonius of Perga and R. Catesby Taliaferro Euclid: Elements / Archimedes: Works / Apollonius: Conic Sections / Nicomachus: Arithmetic (Great Books, Encyclopædia Britannica, 1952)
Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements.Euclid's approach consists in assuming a small set of intuitively appealing axioms (postulates) and deducing many other propositions from these.