EUKLID ELEMENTI PDF

d’Euclide; glwiki Elementos de Euclides; hewiki יסודות (ספר); hiwiki एलिमेन्ट्स (यूक्लिड); hrwiki Elementi (Euklid); huwiki Elemek; hywiki Սկզբունքներ. i dr.n. Sačuvana dela su: “Elementi” (geometrija kao nauka o prostoru) u 13 knjiga.• Euklid je poznati grčki matematičar iz Atine. “Optika” (s teorijom perspektive). Euklid je pokušao da izlaganje bude strogo deduktivno i upravo zbog te doslednosti Elementi su vekovima smatrani najsavršenijim matematičkim delom. Mnoge.

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His Elements is one of the most influential works in the history of mathematicsserving as the main textbook for teaching mathematics especially geometry from the time of its publication until the late 19th or early 20th century. Euclid also wrote works on perspectiveconic sectionsspherical geometrynumber theoryand rigor. Very few original references to Euclid survive, fuklid little is known about his life. He was likely born c. He is rarely mentioned eyklid name by other Greek mathematicians from Archimedes c.

A detailed biography of Euclid is given by Arabian authors, mentioning, for example, a birth town of Tyre. This biography is generally believed to be fictitious. Euclid’s arrival in Alexandria came about ten years after its founding by Alexander the Greatwhich means he arrived c. Proclus introduces Euclid only briefly in his Commentary on the Elements. According to Proclus, Euclid supposedly belonged to Plato ‘s “persuasion” and brought together the Elementsdrawing on prior work of Eudoxus of Cnidus and of several pupils of Plato particularly Theaetetus and Philip of Opus.

Proclus believes that Euclid is not much younger than these, and that he must have lived during the time of Ptolemy I c. Although the apparent citation of Euclid by Archimedes has been judged to be an interpolation by later editors of his works, it is still believed that Euclid wrote his works before Archimedes wrote his.

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Euklidovi elementi

However, this hypothesis is not well accepted by scholars and there is e,ementi evidence in its favor. Although many of the results in Elemneti 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.

There is no mention of Euclid in the earliest remaining copies of the Elementsand most of the copies say they are “from the edition of Theon ” or the “lectures of Theon”, [18] while the text considered to be primary, held by the Vatican, mentions no author.

The only reference that historians rely on of Euclid having written the Elements was from Proclus, who briefly in his Commentary on the Elements ascribes Euclid as its author. Although best known for its geometric results, the Elements also includes number theory. It considers the connection between perfect numbers and Mersenne primes known as the Euclid—Euler theoremthe infinitude of prime numbersEuclid’s lemma on factorization which leads to the fundamental theorem of arithmetic on uniqueness of prime factorizationsand the Euclidean algorithm for finding the greatest common divisor of two numbers.

The geometrical system described in the Elements was long known simply as geometryand was considered to be the only geometry possible. Today, however, that system is often referred to as Euclidean geometry to distinguish it from other so-called non-Euclidean geometries that mathematicians discovered in the 19th century. The Papyrus Oxyrhynchus 29 P.

Euklid/sö – Wikiwand

More recent scholarship suggests a date of 75— AD. The classic translation of T. If a straight line be cut into equal and unequal segments, the rectangle contained by the unequal segments of the whole together with the square on the straight line between the points of section elementu equal to the square on the half.

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In addition to the Elementsat least five works of Euclid have survived to the present day. They follow the same logical structure as Elementswith definitions and proved propositions.

From Wikipedia, the free encyclopedia. Not to be confused with Euclid of Megara. For other uses, see Euclid disambiguation. Euclidean geometry Euclid’s Elements Euclidean algorithm.

Retrieved March 18, University of British Columbia. Euolid Mathematics of Plato’s Academy Second ed. The Creation of Mathematics. A Short Account of the History of Mathematics 4th ed. A History of Mathematics 2nd ed. The Thirteen Books of Euclid’s Elements.

In Heath, Thomas L. As reproduced in the Perseus Digital Library. A History of Greek Mathematics2 Vols.

The Loss of Certainty. A E,ementi History of Mathematics. Retrieved November 21, Problem of Apollonius Squaring the circle Doubling the cube Angle trisection.

Category:Elements of Euclid – Wikimedia Commons

Cyrene Library of Alexandria Platonic Academy. Timeline of ancient Greek mathematicians.

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