Mathematical commentaries in Arabic and Persian have come down to us in abundant numbers and manifoldness. There is no study of them as a literary genre, their distribution over time, space, or topic, nor of their forms or styles. The commentaries that have been scrutinized so far are few in number and focusing in topic mostly on geometry and in scope on those with innovative contributions. In this paper, I will try to survey more generally purposes, forms, and styles of mathematical commentaries based on a larger number of texts with different thematic content and range and produced in different contexts, periods, and localities. Zusammenfassung In diesem Aufsatz diskutiere ich meine Erfahrungen mit arabischen und persischen mathematischen Kommentaren. Ich reflektiere über verschiedene Arten von Kommentaren, ihre Benennungen und Unterschiede und die Entwicklung von formalen Eigenschaften solcher Textformen. Ich zeige, welche Merkmale mathematische Kommentare miteinander verbinden und präsentiere idiosynkratische Einzelbeispiele. Im zweiten Teil meines Beitrages analysiere ich al-Nayrīzī's Kommentare zu den Elementen Euklids.
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