The arts of ornamental geometry : a Persian compendium on similar and complementary interlocking...
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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 Selections from the unpublished work of Alpay Özdural (d. 2003) on this subject have been updated with original contributions by Jan P. Hogendijk, Elaheh Kheirandish, Gülru Necipoğlu, and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.
Tarjuma-yi Kitāb al-Nijāra : Dar handasa-yi ʿamalī /
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Abu ʼl-Wafāʾ Būzjānī (d. 388/998) was a mathematician and astronomer and a native of Būzjān near Nishapur. He studied arithmetic with two of his uncles, probably in Būzjān. When he was nineteen years old he went to Baghdad. There he further developed himself to become one of the leading scientists of his age, working at the Buyid court. He was a contemporary and protector of the chronicler of intellectual and artistic life in Baghdad at the time, Abū Ḥayyān al-Tawḥīdī (d. ca. 414/1023). In the bibliographical literature more than twenty works are ascribed to him, many of which were lost. The present work was originally written in Arabic under the title Kitāb fī mā yaḥtāj ilayhi ʼl-ṣāniʿ fī aʿmāl al-handasa . It is a groundbreaking work in that Būzjānī was the first to write a monograph on practical geometry as justified by the rules of theoretical geometry. Medieval Persian and French translation, with introductions and notes.
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1 online resource. :
9789004405646
9789648700992
"Mathesis of the mind" : a study of Fichte's Wissenschaftslehre and geometry /
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This is the first major study in any language on J.G. Fichte's philosophy of mathematics and theory of geometry. It investigates both the external formal and internal cognitive parallels between the axioms, intuitions and constructions of geometry and the scientific methodology of the Fichtean system of philosophy. In contrast to "ordinary" Euclidean geometry, in his Erlanger Logik of 1805 Fichte posits a model of an "ursprüngliche" or original geometry - that is to say, a synthetic and constructivistic conception grounded in ideal archetypal elements that are grasped through geometrical or intelligible intuition. Accordingly, this study classifies Fichte's philosophy of mathematics as a whole as a species of mathematical Platonism or neo-Platonism, and concludes that the Wissenschaftslehre itself may be read as an attempt at a new philosophical mathesis, or "mathesis of the mind."
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Based on the author's thesis (Ph. D.)--Ludwig-Maximilians-Universität, Munich, 2009. :
1 online resource (iii, 304 pages) : illustrations. :
Includes bibliographical references. :
9789401207683 :
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...
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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.
Corinthian and Attic vases in the Detroit Institute of Arts : geometric, black-figure, and red-figure /
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The collection of Greek vases in the Detroit Institute of Arts has been compiled over the course of the twentieth century to reflect the range of painting styles and shapes which characterize the period from the eighth through fourth centuries B.C. This catalogue is the first publication of that collection, comprising those vases from Corinth and Athens with painted decoration. The physical and painted characteristics of each vase are recorded, with an attribution to a painter or group, and a date. The relationship of the painted decoration to other Greek painted vases, religious or social institutions is discussed. The catalogue will be of interest to specialists in Greek vase painting, and those interested in Greek art and its modern collecting.
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1 online resource. :
Includes bibliographical references (p. [67]-69) and index. :
9789047423782 :
Available to subscribing member institutions only.
Geometric period Plithos burial ground at Chora of Naxos Island, Greece : anthropology report /
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This report aims offers glimpses of the human condition on Naxos Island, Greece, focussing on the archaeoanthropologic study of the human skeletal remains along with associated contexts of faunal materials recovered from the Geometric (9th -7th BC) component of the burial ground site of Plithos in Chora at Naxos island.
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1 online resource : illustrations (colour). :
Specialized. :
Includes bibliographical references. :
9781784913045 (PDF ebook) :
Geometric period Plithos burial ground at Chora of Naxos Island, Greece : anthropology report /
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This report aims offers glimpses of the human condition on Naxos Island, Greece, focussing on the archaeoanthropologic study of the human skeletal remains along with associated contexts of faunal materials recovered from the Geometric (9th -7th BC) component of the burial ground site of Plithos in Chora at Naxos island.
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1 online resource : illustrations (colour). :
Specialized. :
Includes bibliographical references. :
9781784913045 (PDF ebook) :
Diseños geométricos en los mosaicos del Conventus Astigitanus /
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This volume focuses on the study of the geometric designs documented in the mosaics of the Conventus Astigitanus, one of the four conventi iuridici of Roman Baetica.
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Previously issued in print: 2016. :
1 online resource : illustrations (colour). :
Specialized. :
9781784912741 (ebook) :
Diseños geométricos en los mosaicos del Conventus Astigitanus /
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This volume focuses on the study of the geometric designs documented in the mosaics of the Conventus Astigitanus, one of the four conventi iuridici of Roman Baetica.
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Previously issued in print: 2016. :
1 online resource : illustrations (colour). :
Specialized. :
9781784912741 (ebook) :
Parian Polyandreia : the late geometric funerary legacy of cremated soldiers' bones on socio...
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This text centres on the anthropological study of two late 8th century BC monumental graves, designated as T144 and T105, at the ancient necropolis of Paroikia at Paros. The study investigates inter-island features of the human record, observable as ingrained traces in the skeletal record. These have particular significance as they may relate to Parian endeavours in the northern Aegean to colonise Thasos. Through the 'Paros Polyandreia Anthropological Project,' it was possible to gain insights into aspects of the human environment and experience in the Parian context. A considerable population sample of cremated male individuals was available, shedding light on trends that would have involved Thasos; and discerning further facets of the human condition during the Late Geometric to the Early Archaic periods in the ancient Hellenic world.
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Previously issued in print: 2017. :
1 online resource (xii, 400 pages) : illustrations (black and white, and colour) :
Specialized. :
Includes bibliographical references. :
9781784917203 (ebook) :
Parian Polyandreia : the late geometric funerary legacy of cremated soldiers' bones on socio...
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This text centres on the anthropological study of two late 8th century BC monumental graves, designated as T144 and T105, at the ancient necropolis of Paroikia at Paros. The study investigates inter-island features of the human record, observable as ingrained traces in the skeletal record. These have particular significance as they may relate to Parian endeavours in the northern Aegean to colonise Thasos. Through the 'Paros Polyandreia Anthropological Project,' it was possible to gain insights into aspects of the human environment and experience in the Parian context. A considerable population sample of cremated male individuals was available, shedding light on trends that would have involved Thasos; and discerning further facets of the human condition during the Late Geometric to the Early Archaic periods in the ancient Hellenic world.
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Previously issued in print: 2017. :
1 online resource (xii, 400 pages) : illustrations (black and white, and colour) :
Specialized. :
Includes bibliographical references. :
9781784917203 (ebook) :
Proclus on nature : philosophy of nature and its methods in Proclus' Commentary on Plato's Timaeus /
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Of Proclus' immense philosophical system, the part concerning the natural world may well be the most fascinating. Traditional scholarship tends to downplay that part of Neoplatonism, in favour of idealism, but recently this attitude is changing. This study contributes to that development by showing how Proclus' natural philosophy relates to theology, while remaining a science in its own right. Starting from his Commentary on Plato's Timaeus, it presents a revision of Proclus' metaphysics of nature and provides new insight into his surprisingly peripatetic philosophy of science, the role of mathematics, and the nature of discourse in natural philosophy. This book will be of interest both to students of the Platonic tradition, and to historians of natural science, metaphysics and epistemology.
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Based on the author's thesis (doctoral)--Leiden University. :
1 online resource. :
Includes bibliographical references (p. [303]-320) and indexes. :
9789004193253 :
0079-1687 ; :
Available to subscribing member institutions only.
Phenomenology of perception : theories, experimental evidence, models /
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Phenomenology of Perception: Theories and Experimental Evidence reconstructs and reviews the phenomenological research of the Brentano School, Edgar Rubin, David Katz, Albert Michotte and Gestalt psychology. Phenomenology is commonly considered a philosophy of subjective experience, but this book presents it instead as a set of commitments for philosophy and science to discover the immanent grammar underlying the objective meaning of perception. Pioneering experimental results on the qualitative and quantitative structures of the perceptual world are collected to show that, contrary to the received assumption, phenomenology can be embedded in standard science. This book will therefore be of interest not only to phenomenologists but also to anyone concerned with epistemological and empirical issues in contemporary psychology and the cognitive sciences.
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1 online resource. :
Includes bibliographical references and index. :
9789004332201 :
0929-8436 ; :
Available to subscribing member institutions only.
Apollonius of Perga's Conica : text, context, subtext /
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This volume takes a new look at one of the greatest works of Hellenistic mathematics, Apollonius of Perga's Conica . It provides a long overdue alternative to H.G. Zeuthen's Die Lehre von den Kegelschnitten im Altertum . The central part of the volume contains a historically sensitive analysis and interpretation of the entire Conica , both from the standpoint of its individual books and of the text as a whole. Particular attention is given to Books V-VII, which have had scant treatment until now. Two chapters in the volume concern histioriographic issues connected with the Conica in paricular and Greek mathematics in general. Although the volume is intended primarily for historians of ancient mathematics, its approach is fresh and engaging enough to be of interest also to historians, philosophers, linguists, and open-minded mathematicians.
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1 online resource (xii, 499 pages) : illustrations. :
Includes bibliographical references and index. :
9789004350991 :
0169-8958 ; :
Available to subscribing member institutions only.
The look of lyric : Greek song and the visual studies in archaic and classical Greek song /
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The Look of Lyric: Greek Song and the Visual addresses the various modes of interaction between ancient Greek lyric poetry and the visual arts as well as more general notions of visuality. It covers diverse poetic genres in a range of contexts radiating outwards from the original performance(s) to encompass their broader cultural settings, the later reception of the poems, and finally also their understanding in modern scholarship. By focusing on the relationship between the visual and the verbal as well as the sensory and the mental, this volume raises a wide range of questions concerning human perception and cultural practices. As this collection of essays shows, Greek lyric poetry played a decisive role in the shaping of both.
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1 online resource. :
Includes bibliographical references and index. :
9789004314849 :
Available to subscribing member institutions only.
Muqarnas.
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Muqarnas: An Annual on the Visual Cultures of the Islamic World is sponsored by the Aga Khan Program for Islamic Architecture at Harvard University and the Massachusetts Institute of Technology, Cambridge, Massachusetts. The articles in Muqarnas 27 address topics such as spolia in medieval Islamic architecture, Islamic coinage in the seventh century, the architecture of the Alhambra from an environmental perspective, and Ottoman-Mamluk gift exchange in the fifteenth century. The volume also features a new section, entitled "Notes and Sources", with pieces highlighting primary sources such as Akbar's Kathāsaritsāgara . Contributors include Ebba Koch, Elizabeth Lambourn, Elias Muhanna, Rina Avner, Kathryn Moore, Alicia Walker, Todd Willmert, Julia Gonnella, Zeynep Ertuğ, Jere Bacharach, Persis Berlekamp, Heike Franke, Vincenza Garofalo, and Fabrizio Agnello.
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1 online resource. :
9789004191105 :
Available to subscribing member institutions only.
Lux in tenebris : the visual and the symbolic in western esotericism /
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Lux in Tenebris is a collection of eighteen original interdisciplinary essays that address aspects of the verbal and visual symbolism in the works of significant figures in the history of Western Esotericism, covering such themes as alchemy, magic, kabbalah, angels, occult philosophy, Platonism, Rosicrucianism, and Theosophy. Part I: Middle Ages andamp; Early Modernity ranges from Gikatilla, Ficino, Camillo, Agrippa, Weigel, Böhme, Yvon, and Swedenborg, to celestial divination in Russia. Part II: Modernity andamp; Postmodernity moves from occultist thinkers Schwaller de Lubicz and Evola to esotericism in literature, art, and cinema, in the works of Colquhoun, Degouve de Nuncques, Bruskin, Doitschinoff, and Pérez-Reverte, with an essay on esoteric theories of colour. Contributors are: Michael J.B. Allen, Susanna Åkerman, Lina Bolzoni, Aaron Cheak, Robert Collis, Francesca M. Crasta, Per Faxneld, Laura Follesa, Victoria Ferentinou, Joshua Gentzke, Joscelyn Godwin, Hans Thomas Hakl, Theodor Harmsen, Elke Morlok, Noel Putnik, Jonathan Schorsch, György Szönyi, Carsten Wilke, and Thomas Willard.
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1 online resource. :
Includes bibliographical references and index. :
9789004334953 :
1871-1405 ; :
Available to subscribing member institutions only.
Le pouvoir impérial dans les provinces syrienne s représentations et célébrations d'Auguste à Constantin (31 av. J.-C.-337 ap. J.-C.) /
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This book focuses on the role of the emperor and the image of the Roman Empire as a whole during the time period from Augustus to Constantine. It analyses this image by taking into account the epigraphic, literary, numismatic and archaeological sources from Phoenicia to Osrhoene and from Commagene to Arabia. While discussing Graeco-Roman cities and rural settlements among desert areas, it addresses celebrations as well as the organization and promotion of the imperial cult in the Near East. This includes the imperial cult's forms of expression of symbolic, political, and various other social or religious functions. This approach, therefore, explores the real and imaginary relationships that existed between the Roman Empire and the populations of the Syrian provinces.
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1 online resource. :
Includes bibliographical references (p. [325]-250) and indexes. :
9789004203624 :
Available to subscribing member institutions only.
Greek Identity in the Western Mediterranean : Papers in Honour of Brian Shefton /
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The Greek colonies of the Western Mediterranean were central to the evolution of many aspects of Greek culture and in many cases developed an identity which was significantly different from that of mainland Greece and the Aegean. This volume seeks to explore aspects of the cultural identity of these colonies and how it evolved. It covers the colonial foundations in Italy, Sicily, Southern France, Spain and North Africa, and ranges from the 8th century BC to the early Roman empire. Topics covered include the ethnic identity of the earliest colonial foundations, the evolution of Greek states in the West, the Greeks' perceptions of their own identity and ways of representing it, and the role of the indigenous populations in the evolution of Western Greek culture.
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1 online resource (xxii, 504 pages) : illustrations, maps. :
List of Brian Shefton's works (p. xviii-xix).
Includes bibliographical references and index. :
9789047402664 :
Available to subscribing member institutions only.