euclid's elements wikipedia - EAS

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    Euclid's Elements - Wikipedia

    https://en.wikipedia.org/wiki/Euclid's_Elements

    The Elements (Ancient Greek: Στοιχεῖα Stoikheîa) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and

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    Basis in earlier work
    Scholars believe that the Elements is largely a compilation of propositions based on books by earlier Greek mathematicians.
    Proclus (412–485

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    The Elements is still considered a masterpiece in the application of logic to mathematics. In historical context, it has proven enormously

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    • Book 1 contains 5 postulates (including the famous parallel postulate) and 5 common notions, and covers important topics of plane geometry such as the Pythagorean theorem, equality of angles and areas, parallelism, the sum of the angles in a triangle, and

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    Euclid's list of axioms in the Elements was not exhaustive, but represented the principles that were the most important. His proofs often invoke axiomatic notions which were not originally presented in his list of axioms. Later editors have interpolated Euclid's

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    It was not uncommon in ancient times to attribute to celebrated authors works that were not written by them. It is by these means that the

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    • 1460s, Regiomontanus (incomplete)
    • 1482, Erhard Ratdolt (Venice), first printed edition
    • 1533, editio princeps by Simon Grynäus

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    Euclid's axiomatic approach and constructive methods were widely influential.
    Many of Euclid's propositions were constructive,

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  2. Euclid's Elements - Simple English Wikipedia, the free ...

    https://simple.wikipedia.org/wiki/Euclid's_Elements
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    Occasionally in ancient times, writings were attributed to celebrated authors but were not written by them. It is in this way that the apocryphal books XIV and XV of the Elements were sometimes included in the collection. The spurious Book XIV was probably written by Hypsicles on the basis of a treatise by Apollonius of Perg…
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    • Tập tin:Euclid-Elements.pdf – Wikipedia tiếng Việt

      https://vi.wikipedia.org/wiki/Tập_tin:Euclid-Elements.pdf

      Euclid's Elements (Ancient Greek) Compiled for anyone who would want to read the Euclid's work in Greek, especially in order to provide them a printer-friendly copy of the work. No hyperlink for Definitions, Postulates, Common Notions, Propositions, Corollaries, or Lemmas.

      • Tác giả: No machine-readable author provided.
      • Nguồn gốc: No machine-readable source provided. Own work assumed (based on copyright claims).
    • Euclid - Wikipedia

      https://en.wikipedia.org/wiki/Euclid

      Although many of the results in Elements originated with earlier mathematicians, one of Euclid's accomplishments was to present them in a single, logically coherent framework, making it easy to use and easy to reference, including a system of rigorous mathematical proofs that remains the basis of mathematics 23 centuries later.

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    • Euclid's Elements - Wikipedia

      https://sco.wikipedia.org/wiki/Euclid's_Elements

      The Elements (Ancient Greek: Στοιχεῖα Stoicheia) is a mathematical treatise consistin o 13 beuks attributit tae the auncient Greek mathematician Euclid in Alexandria, Ptolemaic Egyp c. 300 BC.

    • Mọi người cũng hỏi
      What is Euclid's Elements in math?
      The Elements (Ancient Greek: Στοιχεῖα Stoicheia) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC.
      en.wikipedia.org/wiki/Euclid%27s_Elements
      How many elements did Euclid write about?
      Euclid's Elements (Ancient Greek: Στοιχεῖα Stoicheia) is a mathematical and geometric treatise consisting of 13 books written by the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC.
      en.wikipedia.org/wiki/Euclid%27s_Elements
      What is Euclid best known for?
      Euclid ( / ˈjuːklɪd /; Greek: Εὐκλείδης Eukleides; fl. 300 BC), sometimes called Euclid of Alexandria to distinguish him from Euclid of Megara, was a Greek mathematician, often referred to as the "founder of geometry " or the "father of geometry". He was active in Alexandria during the reign of Ptolemy I (323–283 BC).
      en.wikipedia.org/wiki/Euclid
      What is the difference between Euclid and Euclid of Alexandria?
      Not to be confused with Euclid of Megara. For other uses, see Euclid (disambiguation). Euclid ( / ˈjuːklɪd /; Greek: Εὐκλείδης Eukleides; fl. 300 BC), sometimes called Euclid of Alexandria to distinguish him from Euclid of Megara, was a Greek mathematician, often referred to as the "founder of geometry " or the "father of geometry".
      en.wikipedia.org/wiki/Euclid


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