Geminus
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Geminus of
Rhodes Rhodes (; ) is the largest of the Dodecanese islands of Greece and is their historical capital; it is the List of islands in the Mediterranean#By area, ninth largest island in the Mediterranean Sea. Administratively, the island forms a separ ...
(), was a Greek
astronomer An astronomer is a scientist in the field of astronomy who focuses on a specific question or field outside the scope of Earth. Astronomers observe astronomical objects, such as stars, planets, natural satellite, moons, comets and galaxy, galax ...
and
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
, who flourished in the 1st century BC. An
astronomy Astronomy is a natural science that studies celestial objects and the phenomena that occur in the cosmos. It uses mathematics, physics, and chemistry in order to explain their origin and their overall evolution. Objects of interest includ ...
work of his, the ''Introduction to the Phenomena'', still survives; it was intended as an introductory astronomy book for students. He also wrote a work on
mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
, of which only fragments quoted by later authors survive.


Life

Nothing is known about the life of Geminus. It is not even certain that he was born in Rhodes, but references to mountains on Rhodes in his astronomical works suggests that he worked there. His dates are not known with any certainty either. A passage in his works referring to the ''Annus Vagus'' (Wandering Year) of the Egyptian calendar of 120 years before his own time, has been used to imply a date of c. 70 BC for the time of writing, which would be consistent with the idea that he may have been a pupil of Posidonius, but a date as late as 50 AD has also been suggested. The crater Geminus on the
Moon The Moon is Earth's only natural satellite. It Orbit of the Moon, orbits around Earth at Lunar distance, an average distance of (; about 30 times Earth diameter, Earth's diameter). The Moon rotation, rotates, with a rotation period (lunar ...
is named after him.


Astronomy

The only work of Geminus to survive is his ''Introduction to the Phenomena'' (), often just called the ''Isagoge''. This introductory astronomy book, based on the works of earlier astronomers such as
Hipparchus Hipparchus (; , ;  BC) was a Ancient Greek astronomy, Greek astronomer, geographer, and mathematician. He is considered the founder of trigonometry, but is most famous for his incidental discovery of the precession of the equinoxes. Hippar ...
, was intended to teach astronomy for beginning students in the subject. In it, Geminus describes the
zodiac The zodiac is a belt-shaped region of the sky that extends approximately 8° north and south celestial latitude of the ecliptic – the apparent path of the Sun across the celestial sphere over the course of the year. Within this zodiac ...
and the motion of the Sun, the
constellation A constellation is an area on the celestial sphere in which a group of visible stars forms Asterism (astronomy), a perceived pattern or outline, typically representing an animal, mythological subject, or inanimate object. The first constellati ...
s, the
celestial sphere In astronomy and navigation, the celestial sphere is an abstract sphere that has an arbitrarily large radius and is concentric to Earth. All objects in the sky can be conceived as being projected upon the inner surface of the celestial sphere, ...
, days and nights, the risings and settings of the zodiacal signs, luni-solar periods and their application to calendars,
phases of the Moon A lunar phase or Moon phase is the apparent shape of the Moon's directly sunlit portion as viewed from the Earth. Because the Moon is Tidal locking, tidally locked with the Earth, the same Hemisphere (geometry), hemisphere is always facing the ...
, eclipses, star phases, terrestrial zones and geographical places, and the foolishness of making weather predictions by the stars.Evans, J., ''The History and Practice of Ancient Astronomy'', p. 91. Oxford University Press. (1998). He also wrote a commentary on Posidonius' work ''On Meteorology''. Fragments of this commentary are preserved by Simplicius in his commentary on Aristotle's ''Physics''.


Mathematics

Geminus also wrote extensively on
mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
, including a comprehensive ''Doctrine, (or Theory) of Mathematics.''Heath, T., A Manual of Greek Mathematics, Dover Publications. (2003). Although this work has not survived, many extracts are preserved by Proclus, Eutocius, and others. He divided mathematics into two parts: ''Mental'' () and ''Observable'' (), or in other words, Pure and Applied. In the first category he placed
geometry Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician w ...
and
arithmetic Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division. In a wider sense, it also includes exponentiation, extraction of roots, and taking logarithms. ...
(including
number theory Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example ...
), and in the second category he placed
mechanics Mechanics () is the area of physics concerned with the relationships between force, matter, and motion among Physical object, physical objects. Forces applied to objects may result in Displacement (vector), displacements, which are changes of ...
,
astronomy Astronomy is a natural science that studies celestial objects and the phenomena that occur in the cosmos. It uses mathematics, physics, and chemistry in order to explain their origin and their overall evolution. Objects of interest includ ...
,
optics Optics is the branch of physics that studies the behaviour and properties of light, including its interactions with matter and the construction of optical instruments, instruments that use or Photodetector, detect it. Optics usually describes t ...
,
geodesy Geodesy or geodetics is the science of measuring and representing the Figure of the Earth, geometry, Gravity of Earth, gravity, and Earth's rotation, spatial orientation of the Earth in Relative change, temporally varying Three-dimensional spac ...
, canonics ( musical harmony), and
logistics Logistics is the part of supply chain management that deals with the efficient forward and reverse flow of goods, services, and related information from the point of origin to the Consumption (economics), point of consumption according to the ...
. Long extracts of his work are also preserved by Al-Nayrizi in his commentary on Euclid's ''Elements''.


Notes


Bibliography

* Evans, J., Berggren, J.L.
''Geminos's Introduction to the Phenomena: A Translation and Study of a Hellenistic Survey of Astronomy.''
(Princeton University Press, 2006.)


External links

* Greek text of Manitius' Teubner edition o
Εἰσαγωγή εἰς τὰ Φαινόμενα (Introduction to Phaenomena/Elements of Astronomy)
* *

with scans o
Manitius' edition of Εἰσαγωγή εἰς τὰ Φαινόμενα including a German translation
and a
1895 dissertation on Geminus by Carolus Tittel
{{DEFAULTSORT:Geminus Ancient Greek astronomers Ancient Greek mathematicians Ancient Rhodian scientists Roman-era Rhodians Stoic philosophers 1st-century BC Rhodians 1st-century BC Greek writers 1st-century BC mathematicians 1st-century BC astronomers