By Roshdi Rashed
From Antiquity till lately, philosophers and mathematicians have constantly mentioned the idea that of attitude and its relation to archimedean and non-archimedean theories of size. For the 1st time, this booklet 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 now not resumed till Newton and Euler. the quantity offers 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 the following translated into French and supplemented with huge observation. The publication starts off with the definitions and propositions of Euclid on angles and dimension, by means of the Greek remark culture represented via 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 through Avicenna and Ibn al-Haytham into their historic context and displaying how a number of successors produced new syntheses in their work.
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