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Cited by 986Historical Astronomy and Related StudiesHistory and Developments in AstronomyHistory and Theory of Mathematics

A History of Ancient Mathematical Astronomy

Neugebauer, Otto·1975·Studies in the History of Mathematics and Physical Sciences
DOI 10.1007/978-3-642-61910-6
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  • Papyrus Michigan 3.149 describes a mixed system: the same-sense model is attributed to the inner planets and the opposite-sense model to the outer ones.

    “Among them, the papyrus describes some kind of mixed system: the same-sense model is attributed to the inner planets and the opposite-sense model to the outer ones (Neugebauer, 1972(Neugebauer, , 1975: 805-808;: 805-808;Robbins, 1936).”

    From The planetary increase of brightness during retrograde motion: An explanandum constructed ad explanantem (2015) · cites this paper as Neugebauer, 1975: 805-808

  • Pliny the Elder referred to this mixed model, although his discussion of planetary motion is very muddled and it is doubtful how much he really understood of it.

    “The third evidence comes from Pliny the Elder, also contemporary to Ptolemy, who in his Natural History (II, 64-75;Neugebauer, 1975: 802-805) referred to this mixed model, although his discussion of planetary motion is very muddled and it is doubtful how much he really understood of it (see Neugebauer, 1975: 802).”

    From The planetary increase of brightness during retrograde motion: An explanandum constructed ad explanantem (2015) · cites this paper as Neugebauer, 1975: 802

  • Pliny the Elder referred to this mixed model, although his discussion of planetary motion is very muddled and it is doubtful how much he really understood of it.

    “The third evidence comes from Pliny the Elder, also contemporary to Ptolemy, who in his Natural History (II, 64-75;Neugebauer, 1975: 802-805) referred to this mixed model, although his discussion of planetary motion is very muddled and it is doubtful how much he really understood of it (see Neugebauer, 1975: 802).”

    From The planetary increase of brightness during retrograde motion: An explanandum constructed ad explanantem (2015) · cites this paper as Neugebauer, 1975: 802-805

  • The Keskintos Inscription, dated about 100 BCE, contains a set of numerical data with astronomical explanation that could only be understood if one assumes the opposite-sense epicycle model.

    “It contains a set of numerical data with some astronomical explanation that could only be understood if one assumes the opposite-sense epicycle model (Jones, 2006: 28;Neugebauer, 1975: 702-704).”

    From The planetary increase of brightness during retrograde motion: An explanandum constructed ad explanantem (2015) · cites this paper as Neugebauer, 1975: 702-704

  • The Ars Eudoxi papyrus states that solar eclipses can never be total but must remain at most annular, because the apparent size of the Sun is always greater than the apparent size of the Moon.

    “The papyrus refers that solar eclipses can never be total but must remain at most annular, because the apparent size of the Sun is always greater than the apparent size of the Moon (Tannery, 1893: 292-293; Blass, 1887: 23-24; see also Neugebauer, 1975: 668, 688-687).”

    From The planetary increase of brightness during retrograde motion: An explanandum constructed ad explanantem (2015) · cites this paper as Neugebauer, 1975

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Authors
Neugebauer, O.
Affiliations
Brown University (US)
Corresponding author
Neugebauer, Otto
Venue
Studies in the History of Mathematics and Physical Sciences
Publisher
Springer Berlin Heidelberg
Published
1975
ISSN
0172-570X (ISSN-L)
DOI
10.1007/978-3-642-61910-6
OpenAlex
W1537966036
Cited by
986
References
0
Citations by year
2026: 16 · 2025: 16 · 2024: 20 · 2023: 44 · 2022: 41 · 2021: 38 · 2020: 105 · 2019: 53 · 2018: 35 · 2017: 27 · 2016: 23 · 2015: 17 · 2014: 44 · 2013: 20 · 2012: 33
FWCI
1.04
Type
book
Language
en
Open access
closed
Licence
www.springer.com/tdm (tdm)
Locations
  • Studies in the history of mathematics and physical sciences (publishedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Historical Astronomy and Related Studies
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › History and Developments in Astronomy
  • Physical Sciences › Mathematics › Theoretical Computer Science › History and Theory of Mathematics
Keywords
history of astronomy, Greek astronomy, ancient Indian astronomy, ancient Chinese astronomy

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