This volume examines the increasing tendency, after the ninth century, to explain mathematical problems inherited from Greek times using the theory of conics. Roshdi Rashed argues that Ibn al-Haytham completes the transformation of this ‘area of activity,’ into a part of geometry concerned with geometrical constructions, dealing not only with the metrical properties of conic sections but with ways of drawing them and properties of their position and shape.
Including extensive commentary from one of world’s foremost authorities on the subject, this book contributes a more informed and balanced understanding of the internal currents of the history of mathematics and the exact sciences in Islam, and of its adaptive interpretation and assimilation in the European context. This fundamental text will appeal to historians of ideas, epistemologists and mathematicians at the most advanced levels of research.
: : Routledge, collection Culture and Civilization in the Middle East, 2013
: : London, Centre for Arab Unity Studies
: : 776 p.
: : ISBN 978-0-415-58215-5
Précédents volumes de la collection :
- R. Rashed, Founding Figures and Commentators in Arabic Mathematics. A History of Arabic Sciences and Mathematics, vol. 1, Culture and Civilization in the Middle East, London, Centre for Arab Unity Studies, Routledge, 2011.
- R. Rashed, Ibn al-Haytham and Analytical Mathematics. A History of Arabic Sciences and Mathematics, vol. 2, Culture and Civilization in the Middle East, London, Centre for Arab Unity Studies, Routledge, 2012.
- R. Rashed, Ibn al-Haytham. New Spherical Geometry and Astronomy, A History of Arabic Sciences and Mathematics, vol. 4, Culture and Civilization in the Middle East, London, Centre for Arab Unity Studies, Routledge, 2014.
- R. Rashed, Ibn al-Haytham’s Geometrical Methods and the Philosophy of Mathematics, A History of Arabic Sciences and Mathematics, vol. 5, Culture and Civilization in the Middle East, London, Centre for Arab Unity Studies, Routledge, 2017.
Introduction : Conic sections and geometrical constructions
Chapter 1 : Theory of conics and geometrical constructions : ’completion of the conics’
Chapter 2:Correcting the Bana Masa’s Lemma for Apollonius’ conics
Chapter 3 : Problems of geometrical construction
Chapter 4 : Practical Geometry : Measurement
Appendix 1 : A Research Tradition : the regular heptagon
Appendix 2 : Sinan ibn Al-Fati and Al-Qabisi:Optical Mensuration
Supplementary notes
Bibliography
Indexes
