Al-Kāshī (d. 1429) presented his Zīj-i Khāqānī dar takmīl-i Zīj-i Īlkhānī (Khāqānī Tables Complementing the Ilkhanid Tables) to Ulugh Beg upon his arrival in Samarqand. Despite his criticism of Ṭūsī’s Zīj-i Īlkhānī, Kashi adopted its planetary mean motion parameters in his zīj. The treatise consists of an introduction and 6 sections (organized in 3 parts: a technical glossary of terms used in the treatise; explanation of operations; and proofs of these operations). See also the Zīj of Ulugh Beg. In the preface, Ulugh Beg specifically names Kāshī, Qāḍīzāde, and ʿAlī Qushjī as contributors.