Disputation on Planetary Systems from Chapter 4 of
Christoph Clavius,
In Sphaeram Ioannis de Sacro Bosco Commentarius.
Venice, 1596. Edited by James M. Lattis.
(Emended by the editor with corrections from later editions)
Some Clavius background
(Links to some related Web sites are at bottom of this page.)
Biographical sketch of Clavius
Very selective bibliography on Clavius
The primary text
Brief notes on the text
This is Clavius's
Disputation
on the cosmological systems that
competed with each other in the late
sixteenth century.
Clavius's
Commentary on the Sphere of Sacrobosco
was published many times in many places across Europe
for over forty years
and employed as an introductory text book
at many schools.
Thus, it must have been known to a significant
fraction of persons educated from about 1570
to around 1615.
Occupying most of Chapter 4,
this
Disputation
is a remarkable and important
summary of the diversity of cosmological
thought in the late sixteenth century.
Few texts are better qualified to bear witness to the context
in which the literate public would have received
the cosmological debates of that era.
The text was transcribed directly
from the original printed version of 1596.
Obvious typographical errors
have been corrected,
and a few corrections have been taken
from the final edition of 1611.
Page breaks are indicated by a page
reference enclosed in pointy brackets.
Italics are used as in the original,
i.e. generally to indicate quotations.
E.g. the text begins with a quotation
from Sacrobosco's
Sphere,
on which Clavius,
like many other medieval and early modern
astronomy educators,
wrote his commentary.
Italics also indicate titles.
The original contains marginal notes,
which here appear enclosed by hyphens.
Images, scanned from the 1596 edition,
appear in roughly the same place
with respect to the text
as in the printed book.
The Latin text
-
Opening and apologia
-
Plan of the argument
-
What eccentrics and epicycles are
-
Nature of planetary motion
-
Plurality of planetary motions and orbs
-
Concentric orbs
-
Ptolemaic orbs
-
Observations supporting eccentrics I: Variations
in apparent magnitude
-
Criticisms of the preceding
-
Fracastoro's explanation
-
Observations supporting eccentrics II: Variations
in proper motion
-
Observations supporting eccentrics III:
Variability of eclipses
-
Observations supporting eccentrics IIII: Diurnal
parallax
-
Observations supporting epicycles I: Variations
in apparent magnitude at apogee
-
Observations supporting epicycles II: Variations
in proper motion at apogee
-
Observations supporting epicycles III:
Variability of lunar eclipses
-
Observations supporting epicycles IIII:
Variability of lunar parallax
-
Other arguments 1: Dynamics of celestial
spheres
-
Other arguments 2: Rejection of the alternatives,
fluid heavens and concentric spheres
-
Other arguments 3: Proper methodology in natural
philosophy
-
Response of the adversaries
-
Confutation of the response of the adversaries:
Proper syllogisms
-
How this pertains to Copernicus
-
Arguments against eccentrics and epicycles
-
Fracastoro's arguments
-
Solutions of the arguments
-
Solution of Fracastoro's arguments
Related Links
Loyola University's Jesuits and the Science
MacTutor History of Mathematics archive
Clark University's History of Mathematics Page
Home page of Jim Lattis
James M. Lattis