Bion of Abdera

Bion of Abdera (Greek: Βίων ὁ Ἀβδηρίτης, gen. Βίωνος) was a Greek mathematician and astronomer of Abdera, Thrace, and a pupil of Democritus. Strabo refers to him as an astrologer. ^[1] 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.^[2]^[3] He also engaged in correlating the direction of winds with climate and is believed to have traveled to distant regions. ^[4]

References

^ Strabo, Geography, 1.2.21.
^ Diogenes Laertius, IV.58.
^ Smith, William. Dictionary of Greek and Roman Biography and Mythology (1870), "Bion of Abdera".
^ Balla, p. 115

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.
Aikaterini Balla. «Βίων - από την Αικατερίνη Μπάλλα, Οδηγός Ανατολικής Μακεδονίας και Θράκης» (Guide to Eastern Macedonia and Thrace, Bion) (in Greek).

Ancient Greek mathematics

Mathematicians
(timeline)

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

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

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 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

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

Ancient Greece portal • Mathematics portal

v t e Ancient Greek astronomy
Astronomers	Aglaonice Agrippa Anaximander Andronicus Apollonius Aratus Aristarchus Aristyllus Attalus Autolycus Bion Callippus Cleomedes Cleostratus Conon Eratosthenes Euctemon Eudoxus Geminus Heraclides Hicetas Hipparchus Hippocrates of Chios Hypsicles Menelaus Meton Oenopides Philip of Opus Philolaus Posidonius Ptolemy Pytheas Seleucus Sosigenes of Alexandria Sosigenes the Peripatetic Strabo Thales Theodosius Theon of Alexandria Theon of Smyrna Timocharis
Works	Almagest (Ptolemy) Catasterismi (Eratosthenes) On Sizes and Distances (Hipparchus) On the Sizes and Distances (Aristarchus) On the Heavens (Aristotle)
Instruments	Antikythera mechanism Armillary sphere Astrolabe Dioptra Equatorial ring Gnomon Mural instrument Triquetrum
Concepts	Callippic cycle Celestial spheres Circle of latitude Counter-Earth Deferent and epicycle Equant Geocentrism Heliocentrism Hipparchic cycle Inferior and superior planets Metonic cycle Octaeteris Solstice Spherical Earth Sublunary sphere Zodiac
Influences	Babylonian astronomy Egyptian astronomy
Influenced	Medieval European science Indian astronomy Medieval Islamic astronomy