Euclid's Data
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Euclid's Data
''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 Euclid (; ; BC) was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the '' Elements'' treatise, which established the foundations of geometry that largely domina ...'s '' Elements''. Editions and translations ;Greek text *''Data'', ed. H. Menge, in ''Euclidis opera omnia'', vol. 6, Leipzig: Teubner, 1896Google Books
;English versions *Translated by Robert Simson
1821 edition
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Ancient Greek
Ancient Greek (, ; ) includes the forms of the Greek language used in ancient Greece and the classical antiquity, ancient world from around 1500 BC to 300 BC. It is often roughly divided into the following periods: Mycenaean Greek (), Greek Dark Ages, Dark Ages (), the Archaic Greece, Archaic or Homeric Greek, Homeric period (), and the Classical Greece, Classical period (). Ancient Greek was the language of Homer and of fifth-century Athens, fifth-century Athenian historians, playwrights, and Ancient Greek philosophy, philosophers. It has contributed many words to English vocabulary and has been a standard subject of study in educational institutions of the Western world since the Renaissance. This article primarily contains information about the Homeric Greek, Epic and Classical periods of the language, which are the best-attested periods and considered most typical of Ancient Greek. From the Hellenistic period (), Ancient Greek was followed by Koine Greek, which is regar ...
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Euclid
Euclid (; ; BC) was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the '' Elements'' treatise, which established the foundations of geometry that largely dominated the field until the early 19th century. His system, now referred to as Euclidean geometry, involved innovations in combination with a synthesis of theories from earlier Greek mathematicians, including Eudoxus of Cnidus, Hippocrates of Chios, Thales and Theaetetus. With Archimedes and Apollonius of Perga, Euclid is generally considered among the greatest mathematicians of antiquity, and one of the most influential in the history of mathematics. Very little is known of Euclid's life, and most information comes from the scholars Proclus and Pappus of Alexandria many centuries later. Medieval Islamic mathematicians invented a fanciful biography, and medieval Byzantine and early Renaissance scholars mistook him for the earlier philo ...
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Euclid's Elements
The ''Elements'' ( ) is a mathematics, mathematical treatise written 300 BC by the Ancient Greek mathematics, Ancient Greek mathematician Euclid. ''Elements'' is the oldest extant large-scale deductive treatment of mathematics. Drawing on the works of earlier mathematicians such as Hippocrates of Chios, Eudoxus of Cnidus and Theaetetus (mathematician), Theaetetus, the ''Elements'' is a collection in 13 books of definitions, postulates, propositions and mathematical proofs that covers plane and solid Euclidean geometry, elementary number theory, and Commensurability (mathematics), incommensurable lines. These include Pythagorean theorem, Thales' theorem, the Euclidean algorithm for greatest common divisors, Euclid's theorem that there are infinitely many prime numbers, and the Compass-and-straightedge construction, construction of regular polygons and Regular polyhedra, polyhedra. Often referred to as the most successful textbook ever written, the ''Elements'' has continued to be ...
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Teubner
The Bibliotheca Teubneriana, or ''Bibliotheca Scriptorum Graecorum et Romanorum Teubneriana'', also known as Teubner editions of Greek and Latin texts, comprise one of the most thorough modern collections published of ancient (and some medieval) Greco-Roman literature. The series consists of critical editions by leading scholars. They now always come with a full critical apparatus on each page, although during the nineteenth century there were ''editiones minores'', published either without critical apparatuses or with abbreviated textual appendices, and ''editiones maiores'', published with a full apparatus. Teubneriana is an abbreviation used to denote mainly a single volume of the series (fully: ''editio Teubneriana''), rarely the whole collection; correspondingly, ''Oxoniensis'' is used with reference to the ''Scriptorum Classicorum Bibliotheca Oxoniensis'', mentioned above as ''Oxford Classical Texts''. The only comparable publishing ventures producing authoritative sch ...
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