By Roshdi Rashed
From Antiquity until eventually lately, philosophers and mathematicians have regularly mentioned the idea that of attitude and its relation to archimedean and non-archimedean theories of dimension. For the 1st time, this e-book lines the historical past of those discussions in Greek and Arabic, from Euclid to Kamāl al-Dīn al-Fārisī, after whom the dialogue was once now not resumed till Newton and Euler. the quantity provides first variations 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 wide observation. The booklet starts off with the definitions and propositions of Euclid on angles and size, through the Greek observation culture represented by means 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 basic contributions by means of Avicenna and Ibn al-Haytham into their ancient context and exhibiting how various successors produced new syntheses in their work.
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