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Summary Of: Euclid's Elements

A fragment of Euclid's elements found at Oxyrhynchus... A fragment of Euclid's elements found at Oxyrhynchus... Euclid's Elements subsequently became the basis of all mathematical education... Euclid's Elements in ancient Greek...

Encyclodia Page On: Euclid's Elements

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The frontispiece of Sir Henry Billingsley's first English version of Euclid's Elements, 1570 | | frontispiece | Greek | mathematical | geometric | treatise | Greek | mathematician | Euclid | Alexandria | circa | axioms | theorems | constructions | mathematical proofs | Euclidean geometry | number theory | Autolycus' | mathematics | logic | science | Venice | printing press | Bible | quadrivium | The frontispiece of an Adelard of Bath Latin translation of Euclid's Elements, c. 1309–1316; the oldest surviving Latin translation of the Elements is a 12th century work by Adelard, which translates to Latin from the Arabic. | | Adelard of Bath | Euclid | Greek | Hellenistic period | Proclus | Eudoxus | Theaetetus | Cicero | Boethius | Proclo | Arabic | Harun al Rashid | Giovanni Campano's | John Dee | Henry Billingsley | Vatican Library | Bodleian Library | J. L. Heiberg | Thomas Little Heath | scholia | Ptolemy | royal road | Thomas Little Heath | logical system | pons asinorum | asses | A proof from Euclid's Elements that, given a line segment, an equilateral triangle exists that includes the segment as one of its sides. The proof is by construction: an equilateral triangle ΑΒΓ is made by drawing circles Δ and Ε centered on the points Α and Β, and taking one intersection of the circles as the third vertex of the triangle. | | logic | mathematics | science | Nicolaus Copernicus | Johannes Kepler | Galileo Galilei | Isaac Newton | Bertrand Russell | Alfred North Whitehead | Baruch Spinoza | number theory | point | line | surface | postulates | axioms | Euclidean property | equality | Reflexive property | constructions | compass | straightedge | ruler | neusis construction | Parallel postulate | If the sum of the two interior angles equals 180°, the lines are parallel and will never intersect. | | parallel postulate | non-Euclidean geometries | independent | hyperbolic geometry | Lobachevskian | elliptic geometry | Riemannian geometry | Albert Einstein | general relativity | A fragment of Euclid's elements found at Oxyrhynchus, which is dated to circa 100 AD. The diagram accompanies Proposition 5 of Book II of the Elements. | | Oxyrhynchus | Pythagorean theorem | areas | algebra | inscribed | tangents | regular polygons | ratios | proportions | magnitudes | Thales' theorem | divisibility | prime numbers | greatest common divisor | least common multiple | geometric sequences | geometric series | perfect numbers | incommensurable | irrational | method of exhaustion | integration | parallelepipeds | cones | pyramids | cylinders | sphere | golden section | Platonic solids | Richard Dedekind | David Hilbert | W. W. Rouse Ball | apocryphal | Hypsicles | Apollonius | dodecahedron | icosahedron | Isidore of Miletus | The Italian Jesuit Matteo Ricci (left) and the Chinese mathematician Xu Guangqi (right) published the Chinese edition of Euclid's Elements (幾何原本) in 1607. | Italian | Jesuit | Matteo Ricci | Chinese mathematician | Xu Guangqi | Chinese | Regiomontanus | editio princeps | Christoph Clavius | John Day | Nasir al-Din al-Tusi | Matteo Ricci | Xu Guangqi | Isaac Barrow | ISBN 1-888009-18-7 | Boyer | Boyer | Boyer | Boyer | Ball, W.W. Rouse | ISBN 0-486-20630-0 | Heath, Thomas L. | ISBN 0-486-60088-2 | ISBN 0-486-60089-0 | ISBN 0-486-60090-4 | Boyer, Carl B. | ISBN 0471543977 | | Wikisource | 2006 | 08-30 | May 6 | 2007 | Euclid's Elements in ancient Greek | Project Gutenberg | Sir Thomas More | Aethelhard of Bath | v | d | Greek mathematics | Anaxagoras | Anthemius | Archytas | Aristaeus the Elder | Aristarchus | Apollonius | Archimedes | Autolycus | Bion | Boethius | Bryson | Callippus | Carpus | Chrysippus | Cleomedes | Conon | Ctesibius | Democritus | Dicaearchus | Diocles | Diophantus | Dinostratus | Dionysodorus | Domninus | Eratosthenes | Eudemus | Euclid | Eudoxus | Eutocius | Geminus | Heron | Hipparchus | Hippasus | Hippias | Hippocrates | Hypatia | Hypsicles | Marinus | Menaechmus | Menelaus | Nicomachus | Nicomedes | Nicoteles | Oenopides | Pappus | Perseus | Philolaus | Philon | Porphyry | Posidonius | Proclus | Ptolemy | Pythagoras | Serenus | Simplicius | Sosigenes | Sporus | Thales | Theaetetus | Theano | Theodorus | Theodosius | Theon of Alexandria | Theon of Smyrna | Thymaridas | Xenocrates | Zeno of Elea | Zeno of Sidon | Zenodorus | Almagest | Archimedes Palimpsest | Arithmetica | Conics | On the Sizes and Distances (Aristarchus) | On Sizes and Distances (Hipparchus) | On the Moving Sphere | Academy of Athens | Library of Alexandria | Cyrene | Babylonian mathematics | Egyptian mathematics | European mathematics | Indian mathematics | Islamic mathematics | Timetable of Greek mathematicians | Categories | Euclidean geometry | Mathematics books | Ancient Greek mathematical works | Mathematics literature |
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