Ancient Greek mathematics - Математика в Древней Греции

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MAGYAR CÍM Ancient Greek mathematics 3547
OROSZ CÍM Математика в Древней Греции 19968
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Ancient Greek mathematics
Mathematicians
(timeline)
Anaxagoras • Anthemius • Archytas • Aristaeus the Elder • Aristarchus • Aristotle • Apollonius • Archimedes • Autolycus • Bion • Bryson • Callippus • Carpus • Chrysippus • Cleomedes • Conon • Ctesibius • Democritus • Dicaearchus • Diocles • Diophantus • Dinostratus • Dionysodorus • Domninus • Eratosthenes • Eudemus • Euclid • Eudoxus • Eutocius • Geminus • Heliodorus • Heron • Hipparchus • Hippasus • Hippias • Hippocrates • Hypatia • Hypsicles • Isidore of Miletus • Leon • Marinus • Menaechmus • Menelaus • Metrodorus • Nicomachus • Nicomedes • Nicoteles • Oenopides • Pappus • Perseus • Philolaus • Philon • Philonides • Plato • 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
Treatises Almagest • Archimedes Palimpsest • Arithmetica • Conics (Apollonius) • Catoptrics • Data (Euclid) • Elements (Euclid) • Measurement of a Circle • On Conoids and Spheroids • On the Sizes and Distances (Aristarchus) • On Sizes and Distances (Hipparchus) • On the Moving Sphere (Autolycus) • Optics (Euclid) • On Spirals • On the Sphere and Cylinder • Ostomachion • Planisphaerium • Spherics (Theodosius) • Spherics (Menelaus) • The Quadrature of the Parabola • The Sand Reckoner
Problems Constructible numbers • Angle trisection • Doubling the cube • Squaring the circle • Problem of Apollonius
Concepts
and definitions
Angle • Central • Inscribed • Axiomatic system • Axiom • Chord • Circles of Apollonius • Apollonian circles • Apollonian gasket • Circumscribed circle • Commensurability • Diophantine equation • Doctrine of proportionality • Euclidean geometry • Golden ratio • Greek numerals • Incircle and excircles of a triangle • Method of exhaustion • Parallel postulate • Platonic solid • Lune of Hippocrates • Quadratrix of Hippias • Regular polygon • Straightedge and compass construction • Triangle center
Concepts
and definitions
In Elements Angle bisector theorem • Exterior angle theorem • Euclidean algorithm • Euclid's theorem • Geometric mean theorem • Greek geometric algebra • Hinge theorem • Inscribed angle theorem • Intercept theorem • Intersecting chords theorem • Intersecting secants theorem • Law of cosines • Pons asinorum • Pythagorean theorem • Tangent-secant theorem • Thales's theorem • Theorem of the gnomon
Apollonius Apollonius's theorem
Other Aristarchus's inequality • Crossbar theorem • Heron's formula • Irrational numbers • Law of sines • Menelaus's theorem • Pappus's area theorem • Problem II.8 of Arithmetica • Ptolemy's inequality • Ptolemy's table of chords • Ptolemy's theorem • Spiral of Theodorus
Centers Cyrene • Mouseion of Alexandria • Platonic Academy
Ancient Greek astronomy • Attic numerals • Greek numerals • Latin translations of the 12th century • Non-Euclidean geometry • Philosophy of mathematics • Neusis construction
Related History of A History of Greek Mathematics • by Thomas Heath • algebra • timeline • arithmetic • timeline • calculus • timeline • geometry • timeline • logic • timeline • mathematics • timeline • numbers • prehistoric counting • numeral systems • list
Other cultures Arabian/Islamic • Babylonian • Chinese • Egyptian • Incan • Indian • Japanese
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