Little Astronomy

''Little Astronomy'' ( ) is a collection of minor works in Ancient Greek mathematics and astronomy dating from the 4th to 2nd century BCE that were probably used as an astronomical curriculum starting around the 2nd century CE. In the astronomy of the medieval Islamic world, with a few additions, the collection became known as the ''Middle Books'' ( ), mathematical preparation for Claudius Ptolemy's ''Almagest'', intended for students who had already studied Euclid's ''Elements''.

Works in the collection

The works contained in the collection are:
* '' Spherics'' by Theodosius of Bithynia: On spherical geometry, in the style of the ''Elements''.
* '' On the Moving Sphere'' by Autolycus of Pitane: On the movements of points and arcs on a sphere as it rotates on its axis.
* ''Optics'' by Euclid: On various effects involving propagation of light, including shadows, parallax, and perspective.
* '' Phaenomena'' by Euclid: A treatise in 18 propositions, each dealing with important arcs on the celestial sphere.
* '' On Habitations'' by Theodosius: Description of the appearance of the sky as seen from different places on earth.
* '' On Days and Nights'' by Theodosius: A treatise in 31 propositions on the lengths of days and nights at different times of the year.
* '' On the Sizes and Distances'' by Aristarchus of Samos: On the size of the Sun and Moon in the sky.
* '' On Risings and Settings'' by Autolycus: On the relationship between the rising and setting of stars throughout the year.
* '' On Ascensions'' by Hypsicles: A treatise on arithmetic progressions used to calculate approximate times for the signs of the Zodiac to rise above the horizon.

In Arabic translation as the ''Middle Books'', additional works, also originally written in Ancient Greek, were often included:
* '' Spherics'' by Menelaus of Alexandria: A treatise on the geometry of spherical triangles, which only survives in Arabic translation
* ''Data'' by Euclid
* Various works by or attributed to Archimedes: ''On the Sphere and Cylinder'', '' On the Measurement of the Circle'', '' Book of Lemmas''

Although these works are all generally found together in numerous medieval Byzantine and Arabic manuscripts, it is unclear whether this specific set of works was originally intentionally compiled together as a collection. All of the works are elementary treatises that would have been useful in a classroom setting, which increased their chance of survival through continuous use by students, and may have resulted in several of them being gathered together multiple different times independently. The earliest known author to mention the existence of a discrete "Little Astronomy" collection by name is Pappus of Alexandria, in the 4th century CE, who devotes book VI of his ''Collection'' to a commentary on selected works by Theodosius, Menelaus, Aristarchus, Euclid, and Autolycus. The oldest manuscript in which all of the extant Greek works are preserved together is Codex Vaticanus Graecus 204, which dates from the 9th or 10th century CE.

Notes

References

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Further reading

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External links

Codex Vaticanus Graecus 204
at the Digital Vatican Library

Alternate viewer
at the Columbia University Rare Books and Manuscripts Library


at Columbia
Alternate viewer


''Ptolemaeus Arabus et Latinus''
a project dedicated to the edition and study of the Arabic and Latin versions of Ptolemy’s astronomical and astrological texts and related material.

{{Ancient Greek astronomy

Ancient Greek mathematical works