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{{Navbox
{{Navbox
| name = Ancient Greek mathematics
| name = Ancient Greek mathematics
| title = [[Greek mathematics|Ancient Greek mathematics]] ([[Euclidean geometry]])
| title = [[Greek mathematics|Ancient Greek mathematics]]
| state = {{{state|autocollapse}}}
| state = {{{state|autocollapse}}}
| listclass = hlist
| listclass = hlist
| below='''{{portal-inline|size=tiny|Ancient Greece}}'''{{•}} '''{{portal-inline|size=tiny|Mathematics}}'''

| group1 = [[List of Greek mathematicians|Mathematicians]]<br />[[Timeline of ancient Greek mathematicians|<small>(timeline)</small>]]
<!--[[Timeline of ancient Greek mathematicians]]-->
| group1 = [[List of Greek mathematicians|Mathematicians]]<br />[[Timeline of ancient Greek mathematicians|(timeline)]]
| list1 =
| list1 =
* [[Anaxagoras]]
*[[Anaxagoras]]
* [[Anthemius of Tralles|Anthemius]]
*[[Anthemius of Tralles|Anthemius]]
* [[Archytas]]
*[[Archytas]]
* [[Aristaeus the Elder]]
*[[Aristaeus the Elder]]
* [[Aristarchus of Samos|Aristarchus]]
*[[Aristarchus of Samos|Aristarchus]]
* [[Apollonius of Perga|Apollonius]]
*[[Aristotle]]
*[[Apollonius of Perga|Apollonius]]
* [[Archimedes]]
*[[Archimedes]]
* [[Autolycus of Pitane|Autolycus]]
*[[Autolycus of Pitane|Autolycus]]
* [[Bion of Abdera|Bion]]
*[[Bion of Abdera|Bion]]
* [[Bryson of Heraclea|Bryson]]
*[[Bryson of Heraclea|Bryson]]
* [[Callippus]]
*[[Callippus]]
* [[Carpus of Antioch|Carpus]]
*[[Carpus of Antioch|Carpus]]
* [[Chrysippus]]
*[[Chrysippus]]
* [[Cleomedes]]
*[[Cleomedes]]
* [[Conon of Samos|Conon]]
*[[Conon of Samos|Conon]]
* [[Ctesibius]]
*[[Ctesibius]]
* [[Democritus]]
*[[Democritus]]
* [[Dicaearchus]]
*[[Dicaearchus]]
* [[Diocles (mathematician)|Diocles]]
*[[Diocles (mathematician)|Diocles]]
* [[Diophantus]]
*[[Diophantus]]
* [[Dinostratus]]
*[[Dinostratus]]
* [[Dionysodorus]]
*[[Dionysodorus]]
* [[Domninus of Larissa|Domninus]]
*[[Domninus of Larissa|Domninus]]
* [[Eratosthenes]]
*[[Eratosthenes]]
* [[Eudemus of Rhodes|Eudemus]]
*[[Eudemus of Rhodes|Eudemus]]
* [[Euclid]]
*[[Euclid]]
* [[Eudoxus of Cnidus|Eudoxus]]
*[[Eudoxus of Cnidus|Eudoxus]]
* [[Eutocius of Ascalon|Eutocius]]
*[[Eutocius of Ascalon|Eutocius]]
* [[Geminus]]
*[[Geminus]]
* [[Hero of Alexandria|Heron]]
*[[Heliodorus of Larissa|Heliodorus]]
*[[Hero of Alexandria|Heron]]
* [[Hipparchus]]
* [[Hippasus]]
*[[Hipparchus]]
* [[Hippias]]
*[[Hippasus]]
* [[Hippocrates of Chios|Hippocrates]]
*[[Hippias]]
*[[Hippocrates of Chios|Hippocrates]]
* [[Hypatia]]
*[[Hypatia]]
* [[Hypsicles]]
*[[Hypsicles]]
* [[Isidore of Miletus]]
*[[Isidore of Miletus]]
* [[Leon (mathematician)|Leon]]
*[[Leon (mathematician)|Leon]]
* [[Marinus of Neapolis|Marinus]]
*[[Marinus of Neapolis|Marinus]]
* [[Menaechmus]]
*[[Menaechmus]]
* [[Menelaus of Alexandria|Menelaus]]
*[[Menelaus of Alexandria|Menelaus]]
* [[Metrodorus (grammarian)|Metrodorus]]
*[[Metrodorus (grammarian)|Metrodorus]]
* [[Nicomachus]]
*[[Nicomachus]]
* [[Nicomedes (mathematician)|Nicomedes]]
*[[Nicomedes (mathematician)|Nicomedes]]
* [[Nicoteles of Cyrene|Nicoteles]]
*[[Nicoteles of Cyrene|Nicoteles]]
* [[Oenopides]]
*[[Oenopides]]
* [[Pappus of Alexandria|Pappus]]
*[[Pappus of Alexandria|Pappus]]
* [[Perseus (geometer)|Perseus]]
*[[Perseus (geometer)|Perseus]]
* [[Philolaus]]
*[[Philolaus]]
* [[Philon]]
*[[Philon]]
*[[Philonides of Laodicea|Philonides]]
* [[Porphyry (philosopher)|Porphyry]]
* [[Posidonius]]
*[[Plato]]
*[[Porphyry (philosopher)|Porphyry]]
* [[Proclus]]
* [[Ptolemy]]
*[[Posidonius]]
* [[Pythagoras]]
*[[Proclus]]
*[[Ptolemy]]
* [[Serenus of Antinoöpolis|Serenus ]]
*[[Pythagoras]]
* [[Simplicius of Cilicia|Simplicius]]
* [[Sosigenes of Alexandria|Sosigenes]]
*[[Serenus of Antinoöpolis|Serenus ]]
* [[Sporus of Nicaea|Sporus]]
*[[Simplicius of Cilicia|Simplicius]]
* [[Thales of Miletus|Thales]]
*[[Sosigenes of Alexandria|Sosigenes]]
*[[Sporus of Nicaea|Sporus]]
* [[Theaetetus (mathematician)|Theaetetus]]
*[[Thales of Miletus|Thales]]
* [[Theano (philosopher)|Theano]]
*[[Theaetetus (mathematician)|Theaetetus]]
* [[Theodorus of Cyrene|Theodorus]]
*[[Theano (philosopher)|Theano]]
* [[Theodosius of Bithynia|Theodosius]]
* [[Theon of Alexandria]]
*[[Theodorus of Cyrene|Theodorus]]
* [[Theon of Smyrna]]
*[[Theodosius of Bithynia|Theodosius]]
*[[Theon of Alexandria]]
* [[Thymaridas]]
* [[Xenocrates]]
*[[Theon of Smyrna]]
* [[Zeno of Elea]]
*[[Thymaridas]]
* [[Zeno of Sidon]]
*[[Xenocrates]]
*[[Zeno of Elea]]
* [[Zenodorus (mathematician)|Zenodorus]]
*[[Zeno of Sidon]]
*[[Zenodorus (mathematician)|Zenodorus]]


| group2 = Treatises
| group2 = Treatises
| list2 =
| list2 =
* ''[[Almagest]]''
*''[[Almagest]]''
* [[Archimedes Palimpsest]]
*[[Archimedes Palimpsest]]
* ''[[Arithmetica]]''
*''[[Arithmetica]]''
* [[Apollonius of Perga#Conics|''Conics'' {{smaller|(Apollonius)}}]]
*[[Apollonius of Perga#Conics|''Conics'' {{smaller|(Apollonius)}}]]
* ''[[Catoptrics]]''
*''[[Catoptrics]]''
* [[Data (Euclid)|''Data'' {{smaller|(Euclid)}}]]
*[[Data (Euclid)|''Data'' {{smaller|(Euclid)}}]]
* [[Euclid's Elements|''Elements'' {{smaller|(Euclid)}}]]
*[[Euclid's Elements|''Elements'' {{smaller|(Euclid)}}]]
* ''[[Measurement of a Circle]]''
*''[[Measurement of a Circle]]''
* ''[[On Conoids and Spheroids]]''
*''[[On Conoids and Spheroids]]''
* [[On the Sizes and Distances (Aristarchus)|''On the Sizes and Distances'' {{smaller|(Aristarchus)}}]]
*[[On the Sizes and Distances (Aristarchus)|''On the Sizes and Distances'' {{smaller|(Aristarchus)}}]]
* [[On Sizes and Distances|''On Sizes and Distances'' {{smaller|(Hipparchus)}}]]
*[[On Sizes and Distances (Hipparchus)|''On Sizes and Distances'' {{smaller|(Hipparchus)}}]]
* [[Autolycus of Pitane|''On the Moving Sphere'' {{smaller|(Autolycus)}}]]
*[[Autolycus of Pitane|''On the Moving Sphere'' {{smaller|(Autolycus)}}]]
* ''[[Euclid's Optics]]''
*[[Euclid's Optics|''Optics'' {{smaller|(Euclid)}}]]
* ''[[On Spirals]]''
*''[[On Spirals]]''
* ''[[On the Sphere and Cylinder]]''
*''[[On the Sphere and Cylinder]]''
* ''[[Ostomachion]]''
*''[[Ostomachion]]''
* ''[[Planisphaerium]]''
*''[[Planisphaerium]]''
*[[Theodosius' Spherics|''Spherics'' {{smaller|(Theodosius)}}]]
* ''[[Sphaerics]]''
*[[Menelaus of Alexandria|''Spherics'' {{smaller|(Menelaus)}}]]
* ''[[The Quadrature of the Parabola]]''
* ''[[The Sand Reckoner]]''
*''[[The Quadrature of the Parabola]]''
*''[[The Sand Reckoner]]''


| group3 = Problems
| group3 = Problems
| list3 =
| list3 =
*[[Constructible number]]s
* [[Angle trisection]]
* [[Doubling the cube]]
**[[Angle trisection]]
* [[Squaring the circle]]
**[[Doubling the cube]]
* [[Problem of Apollonius]]
**[[Squaring the circle]]
*[[Problem of Apollonius]]


| group4 = Concepts/Definitions
| group4 = Concepts<br/>and definitions
| list4 =
| list4 =
*[[Angle]]
* [[Diophantine equation]]
**[[Central angle|Central]]
* [[Circumscribed circle]]
**[[Inscribed angle|Inscribed]]
* '''[[Commensurability (mathematics)|Commensurability]]'''
* [[Golden ratio]]
*[[Axiomatic system]]
* [[Greek numerals]]
**[[Axiom]]
*[[Chord (geometry)|Chord]]
* [[Incircle and excircles of a triangle]]
* '''[[Method of exhaustion]]'''
*[[Circles of Apollonius]]
**[[Apollonian circles]]
* '''[[Parallel postulate]]'''
* '''[[Platonic solid]]'''
**[[Apollonian gasket]]
* [[Regular polygon]]
*[[Circumscribed circle]]
*[[Commensurability (mathematics)|Commensurability]]
* [[Straightedge and compass construction]]
* [[Triangle center]]
*[[Diophantine equation]]
*[[wikiquote:Doctrine of proportion (mathematics)|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]]


| group5 = Results
| group5 = Results
| list5 = {{#invoke:Navbox|navbox|child
| list5 = {{#invoke:Navbox|navbox|child


| group1 = In [[Euclid's elements|''Elements'']]
| group1 = In [[Euclid's elements|''Elements'']]
| list1 =
| list1 =
* [[Angle bisector theorem]]
*[[Angle bisector theorem]]
* [[Exterior angle theorem]]
*[[Exterior angle theorem]]
* '''[[Euclidean algorithm]]'''
*[[Euclidean algorithm]]
* [[Euclid's theorem]]
*[[Euclid's theorem]]
* [[Geometric mean theorem]]
*[[Geometric mean theorem]]
* [[Greek geometric algebra]]
*[[Greek geometric algebra]]
* [[Hinge theorem]]
*[[Hinge theorem]]
* [[Inscribed angle theorem]]
*[[Inscribed angle theorem]]
* [[Intercept theorem]]
*[[Intercept theorem]]
*[[Intersecting chords theorem]]
* [[Pons asinorum]]
* [[Pythagorean theorem]]
*[[Intersecting secants theorem]]
* [[Thales's theorem]]
*[[Law of cosines]]
* [[Theorem of the gnomon]]
*[[Pons asinorum]]
*[[Pythagorean theorem]]
*[[Tangent-secant theorem]]
*[[Thales's theorem]]
*[[Theorem of the gnomon]]


| group2 = [[Apollonius of Tyana|Apollonius]]
| group2 = [[Apollonius of Tyana|Apollonius]]
| list2 =
| list2 =
* [[Apollonius's theorem]]
*[[Apollonius's theorem]]


| group3 = Other
| group3 = Other
| list3 =
| list3 =
*[[Aristarchus's inequality]]
* [[Crossbar theorem]]
* [[Heron's formula]]
*[[Crossbar theorem]]
* [[Menelaus's theorem]]
*[[Heron's formula]]
*[[Irrational number]]s
* [[Pappus's area theorem]]
* [[Ptolemy's theorem]]
*[[Law of sines]]
* [[Spiral of Theodorus]]
*[[Menelaus's theorem]]
*[[Pappus's area theorem]]
*[[Diophantus II.VIII|Problem II.8 of ''Arithmetica'']]
*[[Ptolemy's inequality]]
*[[Ptolemy's table of chords]]
*[[Ptolemy's theorem]]
*[[Spiral of Theodorus]]


}}<!-- END SUB-SUBGROUP -->
}}<!-- END SUB-SUBGROUP -->
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| group6 = Centers
| group6 = Centers
| list6 =
| list6 =
* [[Cyrene, Libya|Cyrene]]
*[[Cyrene, Libya|Cyrene]]
* [[Library of Alexandria]]
*[[Musaeum|Mouseion of Alexandria]]
* [[Platonic Academy]]
*[[Platonic Academy]]


| group7 = Related
| below = <!--[[Timeline of ancient Greek mathematicians]]-->
| list7 = {{#invoke:Navbox|navbox|child


| group1 =
| list1 =

*[[Ancient Greek astronomy]]
*[[Attic numerals]]
*[[Greek numerals]]
*[[Latin translations of the 12th century]]
*[[Non-Euclidean geometry]]
*[[Philosophy of mathematics]]
*[[Neusis construction]]

| group4 = History of
| list4 =
*''[[A History of Greek Mathematics]]''
**by [[Thomas Heath (classicist)|Thomas Heath]]
*[[History of algebra|algebra]]
**[[Timeline of algebra|timeline]]
*[[History of arithmetic|arithmetic]]
**[[Timeline of numerals and arithmetic|timeline]]
*[[History of calculus|calculus]]
**[[Timeline of calculus and mathematical analysis|timeline]]
*[[History of geometry|geometry]]
**[[Timeline of geometry|timeline]]
*[[History of logic|logic]]
**[[Timeline of mathematical logic|timeline]]
*[[History of mathematics|mathematics]]
**[[Timeline of mathematics|timeline]]
*[[History of numbers|numbers]]
**[[prehistoric counting]]
*[[History of ancient numeral systems|numeral systems]]
**[[List of numeral systems|list]]

| group30 = Other cultures
| list30 =
*[[Mathematics in the medieval Islamic world|Arabian/Islamic]]
*[[Babylonian mathematics|Babylonian]]
*[[Chinese mathematics|Chinese]]
*[[Ancient Egyptian mathematics|Egyptian]]
*[[Mathematics of the Incas|Incan]]
*[[Indian mathematics|Indian]]
*[[Japanese mathematics|Japanese]]

}}<!-- END SUB-SUBGROUP -->
}}<noinclude>
}}<noinclude>
{{Documentation}}
{{Documentation}}

Latest revision as of 01:39, 4 September 2023

Retrieved from "https://en.wikipedia.org/enwiki/w/index.php?title=Template:Ancient_Greek_mathematics&oldid=1173723324"