Type of Media 1
Author 1
Date 7
Author
A New Role for the Hippopede of Eudoxus, 2001
By: Yavetz, Ido
Title A New Role for the Hippopede of Eudoxus
Type Article
Language English
Date 2001
Journal Archive for History of Exact Sciences
Volume 56
Issue 1
Pages 69-93
Categories no categories
Author(s) Yavetz, Ido
Editor(s)
Translator(s)
The geometry of the alternative reconstruction of Eudoxan planetary theory is studied. It is shown that in this framework the hippopede acquires an analytical role, consolidating the theory's geometrical underpinnings. This removes the main point of incompatibility between the alternative reconstruction and Simplicius's account of Eudoxan planetary astronomy. The analysis also suggests a compass and straight-edge procedure for drawing a point by point outline of the retrograde loop created by any given arrangement of the three inner spheres. [Author’s abstract]

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On the Homocentric Spheres of Eudoxus, 1998
By: Yavetz, Ido
Title On the Homocentric Spheres of Eudoxus
Type Article
Language English
Date 1998
Journal Archive for History of Exact Sciences
Volume 52
Issue 3
Pages 221-278
Categories no categories
Author(s) Yavetz, Ido
Editor(s)
Translator(s)
In 1877, Schiaparelli published a classic essay on the homocentric spheres of Eu- doxus. In the years that followed, it became the standard, definitive historical reconstruc- tion of Eudoxian planetary theory. The purpose of this paper is to show that the two texts on which Schiaparelli based his reconstruction do not lead in an unequivocal way to this interpretation, and that they actually accommodate alternative and equally plausible interpretations that possess a clear astronomical superiority compared to Schiaparelli's. One should not mistake all of this for a call to reject Schiaparelli's interpretation in favor of the new one. In particular, the alternative interpretation does not recommend itself as a historically more plausible basis for reconstructing Eudoxus's and Callippus's planetary theories merely because of its astronomical advantages. It does, however, suggest that the exclusivity traditionally awarded to Schiaparelli's reconstruction can no longer be maintained, and that the little historical evidence we do possess does not enable us to make a justifiable choice between the available alternatives. [Introduction, p. 221]

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  • PAGE 1 OF 1
A New Role for the Hippopede of Eudoxus, 2001
By: Yavetz, Ido
Title A New Role for the Hippopede of Eudoxus
Type Article
Language English
Date 2001
Journal Archive for History of Exact Sciences
Volume 56
Issue 1
Pages 69-93
Categories no categories
Author(s) Yavetz, Ido
Editor(s)
Translator(s) 
The geometry of the alternative reconstruction of Eudoxan planetary theory is studied. It is 
shown that in this framework the hippopede acquires an analytical role, consolidating the theory's geometrical underpinnings. This removes the main point of incompatibility between the alternative reconstruction and Simplicius's account of Eudoxan planetary astronomy. The analysis also suggests a compass and straight-edge procedure for drawing a point by point outline of the retrograde loop created by any given arrangement of the three inner spheres. [Author’s abstract]

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On the Homocentric Spheres of Eudoxus, 1998
By: Yavetz, Ido
Title On the Homocentric Spheres of Eudoxus
Type Article
Language English
Date 1998
Journal Archive for History of Exact Sciences
Volume 52
Issue 3
Pages 221-278
Categories no categories
Author(s) Yavetz, Ido
Editor(s)
Translator(s) 
In 1877, Schiaparelli published a classic essay on the homocentric spheres of Eu- 
doxus. In the years that followed, it became the standard, definitive historical reconstruc- 
tion of Eudoxian planetary theory. The purpose of this paper is to show that the two texts 
on which Schiaparelli based his reconstruction do not lead in an unequivocal way to 
this interpretation, and that they actually accommodate alternative and equally plausible 
interpretations that possess a clear astronomical superiority compared to Schiaparelli's. One should not mistake all of this for a call to reject Schiaparelli's interpretation in favor 
of the new one. In particular, the alternative interpretation does not recommend itself as a 
historically more plausible basis for reconstructing Eudoxus's and Callippus's planetary theories merely because of its astronomical advantages. It does, however, suggest that 
the exclusivity traditionally awarded to Schiaparelli's reconstruction can no longer be 
maintained, and that the little historical evidence we do possess does not enable us to 
make a justifiable choice between the available alternatives. [Introduction, p. 221]

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  • PAGE 1 OF 1