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Subsequently Ṭūsī was to pen hisown commentary on the work (the Ḥall-i Mushkilāt-i Muʿīnīya, or A solution to the difficulties of the Muʿīnīya) and he used this occasion to discuss his celebrated mathematical formulation "the Ṭūsī Couple" (a concept that he merely hinted at in the Risālā-yi Muʿīnīya).



