Apollonii Pergaei Quae Graece Exstant Cum Commentariis Antiquis

Edidit Et Latine Interpretatus Est I. L. Heiberg;
Author: Johan Ludvig Heiberg,Johan Ludvig Eutocius,Johan Ludvig Apollonius
Publisher: Wentworth Press
ISBN: 9780270375589
Category:
Page: 466
View: 6050

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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

The Middle East and Islamic World Reader


Author: Marvin E. Gettleman,Stuart Schaar
Publisher: Open Road + Grove/Atlantic
ISBN: 0802194524
Category: Religion
Page: 416
View: 3797

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“The many facets of Middle Eastern history and politics are admirably represented in this far-ranging anthology” (Publishers Weekly). In this insightful anthology, historians Marvin E. Gettleman and Stuart Schaar have assembled a broad selection of documents and contemporary scholarship to give a view of the history of the peoples from the core Islamic lands, from the Golden Age of Islam to today. With carefully framed essays beginning each chapter and brief introductory notes accompanying over seventy readings, the anthology reveals the multifaceted societies and political systems of the Islamic world. Selections range from theological texts illuminating the differences between Shiite and Sunni Muslims, to diplomatic exchanges and state papers, to memoirs and literary works, to manifestos of Islamic radicals. This newly revised and expanded edition covers the dramatic changes in the region since 2005, and the popular uprisings that swept from Tunisia in January 2011 through Egypt, Libya, and beyond. The Middle East and Islamic World Reader is a fascinating historical survey of complex societies that—now more than ever—are crucial for us to understand. “Ambitious . . . A timely work, it focuses mainly on sociopolitical texts dating from the rise of Islam to the debates concerning U.S. foreign policy in the post-9/11 world.” —Choice

The Athenaeum

Journal of Literature, Science, the Fine Arts, Music and the Drama
Author: N.A
Publisher: N.A
ISBN: N.A
Category: Literature
Page: N.A
View: 9663

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A Mathematical History of the Golden Number


Author: Roger Herz-Fischler
Publisher: Courier Corporation
ISBN: 0486152324
Category: Mathematics
Page: 224
View: 7528

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This comprehensive study traces the historic development of division in extreme and mean ratio ("the golden number") from its first appearance in Euclid's Elements through the 18th century. Features numerous illustrations.

The Structure of Being

A Neoplatonic Approach
Author: International Society for Neoplatonic Studies
Publisher: SUNY Press
ISBN: 9780873955331
Category: Philosophy
Page: 187
View: 9640

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Neoplatonism has sometimes been seen as a species of mysticism. This volume shows that Neoplatonism has, on the contrary, a characteristic and definable structure. It presents the logic of Neoplatonism and carefully distinguishes it from the logic of other forms of philosophy.

The thirteen books of Euclid's Elements


Author: Euclid,Thomas L. Heath
Publisher: Dover Pubns
ISBN: N.A
Category: Mathematics
Page: 443
View: 6919

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Volume 1 of 3-volume set containing complete English text of all 13 books of the Elements plus critical apparatus analyzing each definition, postulate, and proposition in great detail. Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; commentators; refutations, supports, extrapolations, reinterpretations and historical notes. Vol. 1 includes Introduction, Books 1-2: Triangles, rectangles.

Grundlagen der Geometrie


Author: David Hilbert
Publisher: SEVERUS Verlag
ISBN: 3863479467
Category: Mathematics
Page: 248
View: 2126

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Seine Erkenntnisse beeinflussen bis heute die Forschung: David Hilbert baut in seinen „Grundlagen der Geometrie“ auf Euklids Lehre ein Grundsatzsystem auf, von dem ausgehend er wichtige geometrische Sätze ableitet. Die erstmals 1899 erschienene Abhandlung machte Hilbert zu einem der wichtigsten Mathematiker der Neuzeit, der auch den Formalismus entscheidend prägte.

Analysis and Science in Aristotle


Author: Patrick Hugh Byrne
Publisher: SUNY Press
ISBN: 9780791433218
Category: Philosophy
Page: 303
View: 6254

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Presents a new interpretation of Aristotle's Analytics (the Prior and Posterior Analytics) as a unified whole, and argues that to "loose up"or solve -- rather than to reduce or break up -- is the principle meaning which best characterizes the Analytics. Offering a new interpretation of Aristotle's Analytics (the Prior and Posterior Analytics) as a unified whole, Patrick H. Byrne argues that a non-deductive form of ancient mathematical analysis influenced Aristotle's thinking. Reading the Analytics with this perspective in mind sheds new light on Aristotle's theories of the syllogism, demonstration, and the principles of science. The book begins with a brief survey of ancient geometrical analysis and an investigation of Aristotle's uses of the Greek term, analuein. Byrne argues that "to loose up" or solve -- rather than to reduce or break up -- is the principal meaning which best characterizes Aristotle's Analytics. Extending this line of reasoning, he argues that for Aristotle scientific analysis commonly begins with knowledge of a "mere fact" (a conclusion) and seeks a rigorous demonstration which expresses knowledge of the "reasoned fact". Moreover, genuine analysis of a fact into a reasoned fact cannot be accomplished unless the premises of demonstrations are themselves reasoned facts. Hence the processes which yield the immediate principles (especially definitions) are next investigated through detailed examinations of key examples which Aristotle provides.

Geometrie für Dummies


Author: Wendy Arnone
Publisher: John Wiley & Sons
ISBN: 3527657142
Category: Mathematics
Page: 347
View: 5559

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Dreiecke, Rechtecke, Quader; alles schon einmal geh?rt. Aber wie rechnet man noch einmal ihre Fl?cheninhalte aus? Wie kommt man noch einmal auf die Winkelhalbierenden und wo schneiden sie sich? Es ist ganz einfach. Versprochen. Man muss nur wissen, wann welche Rechnung wo die richtige ist. ?Geometrie f?r Dummies? erkl?rt den Lesern, wie sie zu den richtigen Ergebnissen kommen, wie sie die Geometrie beherrschen und nicht die Geometrie sie. Das Buch nimmt dieser Disziplin der Mathematik auf nette Art den Schrecken.