Download Ptolemy*s Fixed Equant

Dr Mustapha Kara-Ali
International Islamic University Malaysia
“ C O N S T R U C TI V I S M A C R O S S I S L A M O EUROPEAN BOUNDARIES IN THE
FIFTEENTH CENTURY:
THE PHILOSOPHICAL TRANSMISSION OF
T H E F O U N D A T I O NS O F Q U S H JI ’ S
ASTRONOMICAL MODELS
Topics
 Programs in Astronomy: Realism, Instrumentalism and Constructivism
 Constructivism and the Philosophy of Mathematics
 Ptolemy’s “Fixed” Equant: A Challenge for Realism
 The Qushji Compounder as a Solution to the Equant Problem

The Philosophy of a Qushji Compounder

The Dynamic Construction of the Ellipse
 Qushji’s Astronomical Models
 Conclusion: Philosophic Transmission and the Copernican Revolution
Qushji Compounder
Refer to M. Kara-Ali, Constructivism at the birth of the scientific revolution, PhD Dissertation, IIUM, 2014.
Qushji’s Equant Model
`Urdi Solution to the Equant (Upper)
`Urdi Solution to the Equant (1.5/20)
Refer to M. Kara-Ali, Constructivism at the birth of the scientific revolution, PhD Dissertation, IIUM, 2014.
`Urdi Solution (7:20)
Refer to M. Kara-Ali, Constructivism at the birth of the scientific revolution, PhD Dissertation, IIUM, 2014.
Qushji’s Solution to the Equant
Qushji’s Solution to the Equant
Refer to M. Kara-Ali, Constructivism at the birth of the scientific revolution, PhD Dissertation, IIUM, 2014.
Qushji’s Proof: Eccentric Model (lower)