The arts of ornamental geometry : a Persian compendium on similar and complementary interlocking figures, Fī tadākhul al-ashkāl al-mutashābiha aw al-mutāwafiqa (Bibliothèque Nation...
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This collective study focuses on a unique anonymous medieval document on ornamental geometry featuring geometrical constructions and textual instructions in Persian. Selections from the unpublished work of Alpay Özdural (d. 2003) on this subject have been updated with original contributions by Jan P. Hogendijk, Elaheh Kheirandish, Gülru Necipoğlu, and Wheeler M. Thackston. The chapters interpreting this fascinating document are followed, for the first time, by a facsimile, transcription, and translation, as well as drawings of incised construction lines invisible in the photographed facsimile. This publication intersects with the current interest in Islamic geometrical patterning as an inspiration for tessellation and parametrically derived forms in contemporary architecture and the arts. It aims to make this celebrated source more accessible, given its multifaceted relevance to historians of art, architecture, and science, as well as mathematicians, physicists, artists, and architects. For those who wish to obtain a copy of the full, unedited original book manuscript of Alpay Özdural, where he discusses the mathematical properties of all geometrical constructions in the Anonymous Compendium as well as the step-by-step method for drawing each one, his work is available online at https://doi.org/10.6084/m9.figshare.5255416
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1 online resource. :
Includes bibliographical references and index. :
9789004315204 :
Available to subscribing member institutions only.
Ibrāhīm Ibn Sinān. Logique et Géométrie au Xe siècle /
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Ibrāhīm Ibn Sinān was one of the most famous scientists of the tenth century. His specialities were geometry, logic and philosophy of mathematics. In this volume, three new hypotheses are presented. The first one concerns the existence and the development of philosophy of mathematics in Arabic, independently of traditional metaphysics and philosophy. It is mainly concerned with the logic of discovery and the logic of proof. The second hypothesis concerns the development of a new chapter in mathematics devoted to geometrical transformations. The close connection between astronomy and mathematics, used to develop this last chapter, is discussed in the third hypothesis. The book presents a critical edition done for the first time and based on all available manuscripts, French translations, and long historical and mathematical commentaries.
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1 online resource. :
Includes bibliographical references and index. :
9789004453135
9789004118041
The commentary of al-Nayrizi on Books II-IV of Euclid's Elements of Geometry : with a translation of that portion of Book I missing from ms Leiden or. 399.1 but present in the new...
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The Commentary of al-Nayrizi (circa 920) on Euclid's Elements of Geometry occupies an important place both in the history of mathematics and of philosophy, particularly Islamic philosophy. It is a compilation of original work by al-Nayrizi and of translations and commentaries made by others, such as Heron. It is the most influential Arabic mathematical manuscript in existence and a principle vehicle whereby mathematics was reborn in the Latin West. Furthermore, the Commentary on Euclid by the Platonic philosopher Simplicius, entirely reproduced by al-Nayrizi, and nowhere else extant, is essential to the study of the attempt to prove Euclid's Fifth Postulate from the preceding four. Al-Nayrizi was one of the two main sources from which Albertus Magnus (1193-1280), the Doctor Universalis, learned mathematics. This work presents an annotated English translation of Books II-IV and of a hitherto lost portion of Book I.
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1 online resource. :
Includes bibliographical references (p. [209]-212) and index. :
9789047444411 :
Available to subscribing member institutions only.