Scientific Writings from the Ancient and Medieval World – serie

This book provides the first English translation of the Greek text of the Spherics of Theodosios (2nd-1st century BCE), a canonical mathematical and astronomical text used from as early as the 2nd century CE until the early modern period. Accompanied by an introduction to the life and works of Theodosios and a contextualization of his Spherics among other works of Greek mathematics and astronomy, the translation is followed by a detailed commentary, and an accessible English paraphrase accompanied with mathematically generated diagrams. The volume has a broad appeal to both general and specialist readers who do not read ancient Greek – allowing readers to understand the mathematical and astronomical principles and methods used by ancient and medieval readers of this important text. The paraphrase with its mathematical diagrams will be useful for readers with a scientific and mathematical background. This study of one of the canonical mathematical and astronomical texts of the ancient Greco-Roman, classical Islamic, and medieval Christian worlds provides an invaluable resource for historians of science, astronomy, and mathematics, and scholars of the ancient and medieval periods.

MUL.APIN, written sometime before the 8th century BC, was the most widely copied astronomical text in ancient Mesopotamia: a compendium including information such as star lists, descriptions of planetary phases, mathematical schemes for the length of day and night, a discussion of the luni-solar calendar and rules for intercalation, and a short collection of celestial omens. This book contains an introductory essay, followed by a new edition of the text and a facing-page transliteration and English translation. Finally, the book contains a new and detailed commentary on the text. This is a fascinating study, and an important resource for anyone interested in the history of astronomy.

This book provides the first English translation of the Greek text of the Spherics of Theodosios (2nd-1st century BCE), a canonical mathematical and astronomical text used from as early as the 2nd century CE until the early modern period. Accompanied by an introduction to the life and works of Theodosios and a contextualization of his Spherics among other works of Greek mathematics and astronomy, the translation is followed by a detailed commentary, and an accessible English paraphrase accompanied with mathematically generated diagrams. The volume has a broad appeal to both general and specialist readers who do not read ancient Greek – allowing readers to understand the mathematical and astronomical principles and methods used by ancient and medieval readers of this important text. The paraphrase with its mathematical diagrams will be useful for readers with a scientific and mathematical background. This study of one of the canonical mathematical and astronomical texts of the ancient Greco-Roman, classical Islamic, and medieval Christian worlds provides an invaluable resource for historians of science, astronomy, and mathematics, and scholars of the ancient and medieval periods.

The Foundations of Celestial Reckoning gives the reader direct access to the foundational documents of the tradition of calculation created by astronomers of the early Chinese empire between the late second century BCE and the third century CE. The paradigm they established was to shape East Asian thought and practice in the field of mathematical astronomy for centuries to come. It was in many ways radically different from better known traditions of astronomy in other parts of the ancient world. This book includes full English translations of the first three systems of mathematical astronomy adopted for use by imperial astronomical officials, together with introductory material explaining the origin and nature of each system, and a general introduction to the work as a whole. The translations, which are accompanied by the original Chinese text, give a consistent rendering of all technical terms, and include detailed explanatory notes. The text in which the second of the three systems is found also includes a unique collection of documents compiled around 178 CE by two experts in the field, one of whom was the author of the third system translated in this book. Using material transcribed from government archives of the two preceding centuries, these scholars carefully document and review controversies and large-scale official debates on astronomical matters up to their own time. Nothing equivalent in detail and clarity has survived from any other ancient culture. The availability of the totality of this material in English opens new perspectives to all historians of pre-modern astronomy.

This book offers the Greek text and an English translation of Aristarchus of Samos’s On the Sizes and Distances of the Sun and Moon, accompanied by a full introduction, detailed commentary, and relevant scholia.Aristarchus of Samos was active in the third century BC. He was one of the first Greek astronomers to apply geometry to the solution of astronomical problems as we can see in his only extant text, On the Sizes and Distances of the Sun and Moon. Alongside the Greek text and new English translation, the book offers readers the Latin text and English translation of Commandino’s notes on the text. Readers will also benefit from a comprehensive introductory study explaining the value of Aristarchus’s calculations and methodology throughout history, as well as detailed analyses of each part of the treatise.This volume will be of interest to students and scholars working on ancient science and astronomy and the general reader interested in the history of science.

This book offers the Greek text and an English translation of Aristarchus of Samos’s On the Sizes and Distances of the Sun and Moon, accompanied by a full introduction, detailed commentary, and relevant scholia.Aristarchus of Samos was active in the third century BC. He was one of the first Greek astronomers to apply geometry to the solution of astronomical problems as we can see in his only extant text, On the Sizes and Distances of the Sun and Moon. Alongside the Greek text and new English translation, the book offers readers the Latin text and English translation of Commandino’s notes on the text. Readers will also benefit from a comprehensive introductory study explaining the value of Aristarchus’s calculations and methodology throughout history, as well as detailed analyses of each part of the treatise.This volume will be of interest to students and scholars working on ancient science and astronomy and the general reader interested in the history of science.

This book presents the first ever English translation of the Medicina Plinii, one of the most influential books of applied medicine and self-medication in Late Antiquity and the Middle Ages.The work, which predates AD 400, was created as a quick reference work for travellers, and became and remained highly influential, as witnessed by frequent references to it and by various later adaptations. Only the rise of scientific medicine and pharmacology led to its demise and confinement in a small corner of specialist studies. It presents more than 1,150 healing methods and recipes mainly adapted from the encyclopedic Natural History of Pliny the Elder, arranged from the patient’s head to foot in order that readers could quickly find treatments for their diseases. The Medicina Plinii is of dual interest to present-day scholarship: The book is a monument for the practical application of classical knowledge which has recently found lively interest in the history of science and medicine. At the same time the Medicina Plinii provides a fascinating insight into the realities of the world of Late Antiquity, and into the anxieties of the people living in the vast Roman empire.This book will be of particular interest to scholars and advanced students in the History of Science and Medicine, along with a wider audience interested in medicine, and in life in the Roman world.

This book provides, for the very first time, a critical edition and an English translation (accompanied by critical notes and technical analyses) of the chapter on spheres (golādhyāya) from Nityānanda’s Sarvasiddhāntarāja, a Sanskrit astronomical text written in seventeenth-century Mughal India.Readers will learn how terrestrial and celestial phenomena were understood by early modern Sanskrit astronomers using spherical geometry. The technical discussions in this book, supported by the critically edited Sanskrit text and geometric diagrams, offer an opportunity for historians of the astral sciences to understand developments in astronomy in seventeenth-century Mughal India from a more nuanced perspective. These are supplemented through explorations of modernity, mathematics, and mythology and how they thrived within Sanskrit astronomical discourse at the courts of the Mughal emperors.This book will be of interest to historians and philosophers of science, in particular those interested in the history of non-Western astral sciences. The book will be a valuable resource for scholars studying the general history of Sanskrit astronomy in the Indian subcontinent as well as those interested in the technical aspects of Sanskrit and Indo-Persian astronomy in Mughal India.

This volume offers an English translation of all ten extant books of Diophantus of Alexandria’s Arithmetica, along with a comprehensive conceptual, historical, and mathematical commentary.Before his work became the inspiration for the emerging field of number theory in the seventeenth century, Diophantus (ca. 3rd c. CE) was known primarily as an algebraist. This volume explains how his method of solving arithmetical problems agrees both conceptually and procedurally with the premodern algebra later practiced in Arabic, Latin, and European vernaculars, and how this algebra differs radically from the modern algebra initiated by François Viète and René Descartes. It also discusses other surviving traces of ancient Greek algebra and follows the influence of the Arithmetica in medieval Islam, Byzantium, and the European Renaissance down to the 1621 publication of Claude-Gaspard Bachet’s edition. After the English translation the book provides a problem-by-problem commentary explaining the solutions in a manner compatible with Diophantus’s mode of thought.The Arithmetica of Diophantus provides an invaluable resource for historians of mathematics, science, and technology, as well as those studying ancient Greek, medieval Islamic and Byzantine, and Renaissance history. In addition, the volume is also suitable for mathematicians and mathematics educators.

The Ga¿itatilaka and its Commentary: Two Medieval Sanskrit Mathematical Texts presents the first English annotated translation and analysis of the Ga¿itatilaka by Sripati and its Sanskrit commentary by the Jaina monk Si¿hatilakasuri (13th century CE). Si¿hatilakasuri’s commentary upon the Ga¿itatilaka is a key text for the study of Sanskrit mathematical jargon and a precious source of information on mathematical practices of medieval India; this is, in fact, the first known Sanskrit mathematical commentary written by a Jaina monk, about whom we have substantial information, to survive to the present day. In presenting the first annotated translation of these two Sanskrit mathematical texts, this volume focusses on language in mathematics and puts forward a novel, fresh approach to Sanskrit mathematical literature which favours linguistic, literary features and textual data. This key resource makes these important texts available in English for the first time for students of Sanskrit, ancient and medieval mathematics, South Asian history, and philology.

This book offers a new critical edition, translation and commentary of the second maqāla – on optics and theory of vision – of the 8th century AH/AD 14th century Kitāb nūr al-ʿuyūn wa-ǧāmiʿ al-funūn.The Kitāb nūr alʿuyūn wa-ǧāmiʿ al-funūn is a significant medieval Arabic treatise on ophthalmology. This book focuses on the second “chapter” or maqāla, which deals with optics and theories of vision. Readers will gain a new understanding of the treatment of optics in a late-medieval Arabic medical work; in particular, the adoption of mathematics in the work makes this unique in the context of medieval Arabic ophthalmology. The critical edition is accompanied by an English translation, detailed commentary, and introduction to the work that situates the work in its historical and intellectual context and offers important insights on a newly edited and translated source.This book is of interest to students and scholars working on the history of Arabic science, particularly optics and medicine, as well as historians of science more generally, codicologists, palaeographers, and those working on Arabic literary history.

This volume offers an English translation of all ten extant books of Diophantus of Alexandria’s Arithmetica, along with a comprehensive conceptual, historical, and mathematical commentary.Before his work became the inspiration for the emerging field of number theory in the seventeenth century, Diophantus (ca. 3rd c. CE) was known primarily as an algebraist. This volume explains how his method of solving arithmetical problems agrees both conceptually and procedurally with the premodern algebra later practiced in Arabic, Latin, and European vernaculars, and how this algebra differs radically from the modern algebra initiated by François Viète and René Descartes. It also discusses other surviving traces of ancient Greek algebra and follows the influence of the Arithmetica in medieval Islam, Byzantium, and the European Renaissance down to the 1621 publication of Claude-Gaspard Bachet’s edition. After the English translation the book provides a problem-by-problem commentary explaining the solutions in a manner compatible with Diophantus’s mode of thought.The Arithmetica of Diophantus provides an invaluable resource for historians of mathematics, science, and technology, as well as those studying ancient Greek, medieval Islamic and Byzantine, and Renaissance history. In addition, the volume is also suitable for mathematicians and mathematics educators.

MUL.APIN, written sometime before the 8th century BC, was the most widely copied astronomical text in ancient Mesopotamia: a compendium including information such as star lists, descriptions of planetary phases, mathematical schemes for the length of day and night, a discussion of the luni-solar calendar and rules for intercalation, and a short collection of celestial omens. This book contains an introductory essay, followed by a new edition of the text and a facing-page transliteration and English translation. Finally, the book contains a new and detailed commentary on the text. This is a fascinating study, and an important resource for anyone interested in the history of astronomy.

The Foundations of Celestial Reckoning gives the reader direct access to the foundational documents of the tradition of calculation created by astronomers of the early Chinese empire between the late second century BCE and the third century CE. The paradigm they established was to shape East Asian thought and practice in the field of mathematical astronomy for centuries to come. It was in many ways radically different from better known traditions of astronomy in other parts of the ancient world. This book includes full English translations of the first three systems of mathematical astronomy adopted for use by imperial astronomical officials, together with introductory material explaining the origin and nature of each system, and a general introduction to the work as a whole. The translations, which are accompanied by the original Chinese text, give a consistent rendering of all technical terms, and include detailed explanatory notes. The text in which the second of the three systems is found also includes a unique collection of documents compiled around 178 CE by two experts in the field, one of whom was the author of the third system translated in this book. Using material transcribed from government archives of the two preceding centuries, these scholars carefully document and review controversies and large-scale official debates on astronomical matters up to their own time. Nothing equivalent in detail and clarity has survived from any other ancient culture. The availability of the totality of this material in English opens new perspectives to all historians of pre-modern astronomy.

The Gaṇitatilaka and its Commentary: Two Medieval Sanskrit Mathematical Texts presents the first English annotated translation and analysis of the Gaṇitatilaka by Śrīpati and its Sanskrit commentary by the Jaina monk Siṃhatilakasūri (13th century CE). Siṃhatilakasūri’s commentary upon the Gaṇitatilaka is a key text for the study of Sanskrit mathematical jargon and a precious source of information on mathematical practices of medieval India; this is, in fact, the first known Sanskrit mathematical commentary written by a Jaina monk, about whom we have substantial information, to survive to the present day. In presenting the first annotated translation of these two Sanskrit mathematical texts, this volume focusses on language in mathematics and puts forward a novel, fresh approach to Sanskrit mathematical literature which favours linguistic, literary features and textual data. This key resource makes these important texts available in English for the first time for students of Sanskrit, ancient and medieval mathematics, South Asian history, and philology.

This book provides, for the very first time, a critical edition and an English translation (accompanied by critical notes and technical analyses) of the chapter on spheres (golādhyāya) from Nityānanda’s Sarvasiddhāntarāja, a Sanskrit astronomical text written in seventeenth-century Mughal India.Readers will learn how terrestrial and celestial phenomena were understood by early modern Sanskrit astronomers using spherical geometry. The technical discussions in this book, supported by the critically edited Sanskrit text and geometric diagrams, offer an opportunity for historians of the astral sciences to understand developments in astronomy in seventeenth-century Mughal India from a more nuanced perspective. These are supplemented through explorations of modernity, mathematics, and mythology and how they thrived within Sanskrit astronomical discourse at the courts of the Mughal emperors.This book will be of interest to historians and philosophers of science, in particular those interested in the history of non-Western astral sciences. The book will be a valuable resource for scholars studying the general history of Sanskrit astronomy in the Indian subcontinent as well as those interested in the technical aspects of Sanskrit and Indo-Persian astronomy in Mughal India.