By Roshdi Rashed
From Antiquity until eventually lately, philosophers and mathematicians have always mentioned the concept that of perspective and its relation to archimedean and non-archimedean theories of dimension. For the 1st time, this ebook strains the background of those discussions in Greek and Arabic, from Euclid to Kamāl al-Dīn al-Fārisī, after whom the dialogue used to be no longer resumed until eventually Newton and Euler. the quantity provides first variants of over twenty texts, both in Arabic or Greek and translated into Arabic, of the best mathematicians and philosophers of the time. The texts are right here translated into French and supplemented with vast remark. The publication starts off with the definitions and propositions of Euclid on angles and dimension, via the Greek remark culture represented by way of Proclus and Simplicius (only extant in Arabic) and the writings of the Arabic mathematicians and philosophers from the ninth via 14th century, putting the elemental contributions by means of Avicenna and Ibn al-Haytham into their historic context and exhibiting how quite a few successors produced new syntheses in their work.
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