astro.wikisort.org - ResearcherBion of Abdera (Greek: Βίων ὁ Ἀβδηρίτης, gen. Βίωνος) was a Greek mathematician of Abdera, Thrace, and a pupil of Democritus. He wrote both in the Ionic and Attic dialects, and was the first who said that there were some parts of the Earth in which it was night for six months, while the remaining six months were one uninterrupted day.[1][2]
References
- Diogenes Laertius, IV.58.
- Smith, William. Dictionary of Greek and Roman Biography and Mythology (1870), "Bion of Abdera".
Sources
This article incorporates text from a publication now in the public domain: Smith, William, ed. (1870). "Bion". Dictionary of Greek and Roman Biography and Mythology. p. 488.
Ancient Greek and Hellenistic mathematics (Euclidean geometry) |
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Mathematicians (timeline) | |
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Treatises | |
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Problems |
- Constructible numbers
- Angle trisection
- Doubling the cube
- Squaring the circle
- Problem of Apollonius
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Concepts and definitions |
- Angle
- Chord
- Circles of Apollonius
- Apollonian circles
- Apollonian gasket
- Circumscribed circle
- Commensurability
- Diophantine equation
- Doctrine of proportionality
- 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
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Results | 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
- Inverse Pythagorean theorem
- Law of cosines
- Pons asinorum
- Pythagorean theorem
- Tangent-secant theorem
- Thales's theorem
- Theorem of the gnomon
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Apollonius | |
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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
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Centers |
- Cyrene
- Library of Alexandria
- Platonic Academy
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Other |
- Ancient Greek astronomy
- Greek numerals
- Latin translations of the 12th century
- Neusis construction
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Ancient Greek astronomy |
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Astronomers | |
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Works | |
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Instruments |
- Antikythera mechanism
- Armillary sphere
- Astrolabe
- Dioptra
- Equatorial ring
- Gnomon
- Mural instrument
- Triquetrum
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Concepts |
- Callippic cycle
- Celestial spheres
- Circle of latitude
- Counter-Earth
- Deferent and epicycle
- Equant
- Geocentrism
- Heliocentrism
- Hipparchic cycle
- Metonic cycle
- Octaeteris
- Solstice
- Spherical Earth
- Sublunary sphere
- Zodiac
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Influences |
- Babylonian astronomy
- Egyptian astronomy
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Influenced |
- Medieval European science
- Indian astronomy
- Medieval Islamic astronomy
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Authority control  |
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General | |
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National libraries | |
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Biographical dictionaries | |
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Ancient Greek mathematician and astronomer
На других языках
[de] Bion von Abdera
Bion von Abdera (altgriechisch Βίων) war ein griechischer Mathematiker und Philosoph aus Abdera. Seine Lebensdaten sind ungewiss.
- [en] Bion of Abdera
[it] Bione di Abdera
Bione di Abdera (in greco Βίων ὁ Ἀβδηρίτης; ... – ...) è stato un astronomo e filosofo greco antico.
[ru] Бион из Абдеры
Бион из Абдеры (Βίων ὁ Ἀβδηρίτης, ок. V — IV вв. до н. э.) — древнегреческий математик и астроном. Все наши сведения о нём сводятся к одному месту у Диогена Лаэртского (IV.58), который сообщает, что Бион был учеником Демокрита (отсюда — датировка его жизни), и что он первым сказал, что на Земле есть такие места, где шесть месяцев длится ночь и шесть месяцев день.
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