The Works of Archimedes: Volume 2, On Spirals

Translation and Commentary

Author: Archimedes

Publisher: Cambridge University Press

ISBN: 1108186203

Category: Philosophy

Page: N.A

View: 6564

This is the second volume of the first fully-fledged English translation of the works of Archimedes - antiquity's greatest scientist and one of the most important scientific figures in history. It covers On Spirals and is based on a reconsideration of the Greek text and diagrams, now made possible through new discoveries from the Archimedes Palimpsest. On Spirals is one of Archimedes' most dazzling geometrical tours de force, suggesting a manner of 'squaring the circle' and, along the way, introducing the attractive geometrical object of the spiral. The form of argument, no less than the results themselves, is striking, and Reviel Netz contributes extensive and insightful comments that focus on Archimedes' scientific style, making this volume indispensable for scholars of classics and the history of science, and of great interest for the scientists and mathematicians of today.

Kugel und Zylinder

Author: Archimedes

Publisher: N.A


Category: Mathematics

Page: 153

View: 6495


The Works of Archimedes

Author: Archimedes Archimedes

Publisher: Palala Press

ISBN: 9781377904313

Category: Mathematics

Page: 524

View: 6030

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 works of Archimedes

Author: Archimedes

Publisher: Aubrey Durkin


Category: Mathematics

Page: N.A

View: 1850

Introduction: I. Archimedes. II. Manuscripts and principal editions, order of composition, dialect, lost works. III. Relation of Archimedes to his predecessors. IV. Arithmetic in Archimedes. V. On the problems known as [neuseis] VI. Cubic equations. VII. Anticipations by Archimedes of the integral calculus. VIII. The terminology of Archimedes.--Works: On the sphere and cylinder, books I-II. Measurement of a circle. On conoids and spheroids. On spirals. On the equilibrium of planes, books I-II. The sand-reckoner. Quadrature of the parabola. On floating bodies, books I-II. Book of lemmas. The cattle-problem [including the solution of Wurm's problem by Amthor in Zeitschrift für math. u. phys. [Hist. litt. abth.] v. 25, 1880] List of the principal works consulted: p. [xi]-xii

The Greatest Mathematician

Archimedes and His Eureka! Moment

Author: Paul W. Hightower

Publisher: Enslow Publishing, LLC

ISBN: 9780766034082

Category: Juvenile Nonfiction

Page: 128

View: 9859

A biography of ancient Greek mathematician Archimedes, who invented the compound pulley and other machines. His contributions to mathematics included devising the formulas for the surface and volume of a sphere.

The Genius of Archimedes -- 23 Centuries of Influence on Mathematics, Science and Engineering

Proceedings of an International Conference held at Syracuse, Italy, June 8-10, 2010

Author: S. A. Paipetis,Marco Ceccarelli

Publisher: Springer Science & Business Media

ISBN: 9789048190911

Category: Technology & Engineering

Page: 515

View: 2446

Archimedes is held in high esteem by mathematicians, physicists and engineers as one of the most brilliant scientists of all time. These proceedings contain original, unpublished papers with the primary emphasis on the scientific work of Archimedes and his influence on the fields of mathematics, science, and engineering. There are also papers dealing with archaeological aspects and the myths and legends about Archimedes and about the Archimedes Palimpsest. Papers on the following subjects form part of the book: Hydrostatics (buoyancy, fluid pressure and density, stability of floating bodies); Mechanics (levers, pulleys, centers of gravity, laws of equilibrium); Pycnometry (measurement of volume and density); Integral Calculus (Archimedes as the father of the integral calculus, method of exhaustion, approximation of pi, determination of areas and volumes); Mathematical Physics (Archimedes as the father of mathematical physics, Law of the Lever, Law of Buoyancy, Axiomatization of Physics); History of Mathematics and Mechanics (Archimedes’ influence in antiquity, the middle ages, the Renaissance, and modern times; his influence on Leonado da Vinci, Galileo, Newton, and other giants of science and mathematics); Ancient Machines and Mechanisms (catapults, water screws, iron hands, compound pulleys, planetaria, water clocks, celestial globes, the Antikythera Mechanism); Archimedean Solids (their rediscovery in the Rennaisance and their applications in materials science and chemistry); Archimedean Legends (how stories of golden crowns, eureka moments, naked runs, burning mirrors, steam cannons, etc., have influenced us through the ages, whether true or not); The Cattle Problem (how its 18th century rediscovery inspired the study of equations with integer solutions); Teaching the Ideas of Archimedes (how his life and works have influenced the teaching of science, mathematics, and engineering).


Author: Astrid Schürmann,Georg Wöhrle

Publisher: Franz Steiner Verlag

ISBN: 9783515087421

Category: History

Page: 236

View: 9517

Die neuen Entwicklungen in der Wissenschaftsgeschichte der letzten 20 Jahre sind inzwischen auch fuer die Untersuchung der antiken Wissenschaften fruchtbar gemacht worden. Der Sammelband stellt dies anhand der Physik dar, die als moderne Wissenschaft zwei zentrale Wissensgebiete der antiken Philosophie sowie der angewandten mathematischen Wissenschaften vereint, die antike Naturwissenschaft und die Fachdisziplin der Mechanik. Die Autoren und Autorinnen zeigen in ihren Beitr�gen, da� gerade das Verh�ltnis von eher theoretischer Wissenschaft und angewandter Praxis ein besonders spannendes ist. Als "Brueckenkopf" zwischen beiden Bereichen wird hier die antike Umweltforschung pr�sentiert. Die Texte wenden sich neben dem Fachpublikum besonders an interessierte, aufgeschlossene LeserInnen anderer Interessensgebiete, die sich einen Eindruck der neuesten Forschungen verschaffen m�chten, und sind daher allgemein verst�ndlich und nachvollziehbar geschrieben. Mit Beitr�gen von: Astrid Schuermann, Gottfried Heinemann, Ren� Kayser, Helen S. Lang, Christian Pietsch, Holger Sonnabend, Burkhard Mei�ner, Hermann J. Kienast:, Dennis L. Simms, Philippe Fleury, Karin Tybjerg.