Quaestiones Super Geometriam Euclidis PDF Download
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Author: Nicole Oresme
Publisher: Brill Archive
ISBN:
Category : Euclid's Elements
Languages : en
Pages : 208
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Book Description
Contains a English translation of Questions 1-21 with a bibliography.
Author: Nicole Oresme
Publisher: Brill Archive
ISBN:
Category : Euclid's Elements
Languages : en
Pages : 208
Get Book Here
Book Description
Contains a English translation of Questions 1-21 with a bibliography.
Author: Nicole Oresme
Publisher: Franz Steiner Verlag Wiesbaden GmbH
ISBN:
Category : History
Languages : en
Pages : 216
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Book Description
Nicole Oresme (ca. 1320-1384) was one of the most important intellectual figures of the scholastic period: not only was he a leading philosopher, theologian, astronomer and mathematician, but he was also involved in practical matters - he was secretary to the king of France, he was bishop of Lisieux, and he was involved in the assessment of coins and associated political problems. He took part in the teaching of scholastic philosophy, writing numerous commentaries on Aristotle. His contributions to the so-called "latitude of forms", i.e. the quantification of qualities, are universally recognized in modern scholarship. Also connected with university education are his Questiones on the Elements of Euclid, the basic and most widely read of the Greek mathematical classics. These Questiones cannot be regarded as a commentary, but rather examine problems suggested by Euclid's text. Among the subjects investigated are the quantitative change of qualities, e.g. of velocity, colours or heat, in time. There are penetrating analyses of infinite and infinitesimal qualities.
Author:
Publisher: BRILL
ISBN: 9004250255
Category : History
Languages : en
Pages : 897
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Book Description
Oresme's commentary is one of the most relevant documents of the discussions at Paris University in the midst of the 14th Century. Original solutions concerning the main philosophical issues are associated with sharp criticism of the realist and nominalist positions.
Author: Nicole Oresme
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 204
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Book Description
Introduction includes content information for thesis and its subsequent published paraphrase.
Author: Victor J. Katz
Publisher: Princeton University Press
ISBN: 1400883202
Category : Mathematics
Languages : en
Pages : 593
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Book Description
Medieval Europe was a meeting place for the Christian, Jewish, and Islamic civilizations, and the fertile intellectual exchange of these cultures can be seen in the mathematical developments of the time. This sourcebook presents original Latin, Hebrew, and Arabic sources of medieval mathematics, and shows their cross-cultural influences. Most of the Hebrew and Arabic sources appear here in translation for the first time. Readers will discover key mathematical revelations, foundational texts, and sophisticated writings by Latin, Hebrew, and Arabic-speaking mathematicians, including Abner of Burgos's elegant arguments proving results on the conchoid—a curve previously unknown in medieval Europe; Levi ben Gershon’s use of mathematical induction in combinatorial proofs; Al-Mu’taman Ibn Hūd’s extensive survey of mathematics, which included proofs of Heron’s Theorem and Ceva’s Theorem; and Muhyī al-Dīn al-Maghribī’s interesting proof of Euclid’s parallel postulate. The book includes a general introduction, section introductions, footnotes, and references. The Sourcebook in the Mathematics of Medieval Europe and North Africa will be indispensable to anyone seeking out the important historical sources of premodern mathematics.
Author: Dan Burton
Publisher: BRILL
ISBN: 9004153705
Category : Science
Languages : en
Pages : 334
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Book Description
In this critical edition of Nicole Oresme's 14th-century treatise on atmospheric refraction, Oresme uses optics and infinitesimals to help solve this vexing problem of astronomy, proposing that light travels along a curve through the atmosphere, centuries before Hooke and Newton.
Author: Andrew Janiak
Publisher:
ISBN: 0199914109
Category : Philosophy
Languages : en
Pages : 369
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Book Description
Recurrent questions about space have dogged philosophers since ancient times. Can an ordinary person draw from his or her perceptions to say what space is? Or is it rather a technical concept that is only within the grasp of experts? Can geometry characterize the world in which we live? What is God's relation to space? In Ancient Greece, Euclid set out to define space by devising a codified set of axioms and associated theorems that were then passed down for centuries, thought by many philosophers to be the only sensible way of trying to fathom space. Centuries later, when Newton transformed the 'natural philosophy' of the seventeenth century into the physics of the eighteenth century, he placed the mathematical analysis of space, time, and motion at the center of his work. When Kant began to explore modern notions of 'idealism' and 'realism, ' space played a central role. But the study of space was transformed forever when, in 1915, Einstein published his general theory of relativity, explaining that the world is not Euclidean after all. This volume chronicles the development of philosophical conceptions of space from early antiquity through the medieval period to the early modern era. The chapters describe the interactions at different moments in history between philosophy and various other disciplines, especially geometry, optics, and natural science more generally. Fascinating central figures from the history of mathematics, science and philosophy are discussed, including Euclid, Plato, Aristotle, Proclus, Ibn al-Haytham, Nicole Oresme, Kepler, Descartes, Newton, Leibniz, Berkeley, and Kant. As with other books in the series, shorter essays, or Reflections, enrich the volume by characterizing perspectives on space found in various disciplines including ecology, mathematics, sculpture, neuroscience, cultural geography, art history, and the history of science.
Author: Sylvain Roudaut
Publisher: BRILL
ISBN: 9004501894
Category : Philosophy
Languages : en
Pages : 443
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Book Description
The aim of this book is to analyze the problem of the intensity of forms in the late Middle Ages and to show how this debate eventually gave rise to a new metaphysical project in the 14th century: the project of quantifying the different types of perfections existing in the universe – that is the project of “measuring being”. Cet ouvrage se propose d’analyser l’histoire du débat relatif à l’intensité des formes au Moyen Âge, et de retracer la manière dont il conduisit au XIVe siècle à l’émergence d’un projet métaphysique nouveau : celui de quantifier les perfections contenues dans l’univers et, ainsi, de “mesurer l’être”.
Author: Menso Folkerts
Publisher: Taylor & Francis
ISBN: 1040236693
Category : History
Languages : en
Pages : 355
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Book Description
The Development of Mathematics in Medieval Europe complements the previous collection of articles by Menso Folkerts, Essays on Early Medieval Mathematics, and deals with the development of mathematics in Europe from the 12th century to about 1500. In the 12th century European learning was greatly transformed by translations from Arabic into Latin. Such translations in the field of mathematics and their influence are here described and analysed, notably al-Khwarizmi's "Arithmetic" -- through which Europe became acquainted with the Hindu-Arabic numerals -- and Euclid's "Elements". Five articles are dedicated to Johannes Regiomontanus, perhaps the most original mathematician of the 15th century, and to his discoveries in trigonometry, algebra and other fields. The knowledge and application of Euclid's "Elements" in 13th- and 15th-century Italy are discussed in three studies, while the last article treats the development of algebra in South Germany around 1500, where much of the modern symbolism used in algebra was developed.
Author: Olaf Pedersen
Publisher: CUP Archive
ISBN: 9780521408998
Category : Science
Languages : en
Pages : 428
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Book Description
The book describes how the scientific account of the world arose among the Greeks and developed in the Middle Ages.
