Translating Euclid

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Publisher : Springer Nature
ISBN 13 : 3031022009
Total Pages : 221 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Translating Euclid by : GERRY STAHL

Download or read book Translating Euclid written by GERRY STAHL and published by Springer Nature. This book was released on 2022-05-31 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translating Euclid reports on an effort to transform geometry for students from a stylus-and-clay-tablet corpus of historical theorems to a stimulating computer-supported collaborative-learning inquiry experience. The origin of geometry was a turning point in the pre-history of informatics, literacy, and rational thought. Yet, this triumph of human intellect became ossified through historic layers of systematization, beginning with Euclid’s organization of the Elements of geometry. Often taught by memorization of procedures, theorems, and proofs, geometry in schooling rarely conveys its underlying intellectual excitement. The recent development of dynamic-geometry software offers an opportunity to translate the study of geometry into a contemporary vernacular. However, this involves transformations along multiple dimensions of the conceptual and practical context of learning. Translating Euclid steps through the multiple challenges involved in redesigning geometry education to take advantage of computer support. Networked computers portend an interactive approach to exploring dynamic geometry as well as broadened prospects for collaboration. The proposed conception of geometry emphasizes the central role of the construction of dependencies as a design activity, integrating human creation and mathematical discovery to form a human-centered approach to mathematics. This book chronicles an iterative effort to adapt technology, theory, pedagogy and practice to support this vision of collaborative dynamic geometry and to evolve the approach through on-going cycles of trial with students and refinement of resources. It thereby provides a case study of a design-based research effort in computer-supported collaborative learning from a human-centered informatics perspective.

Euclid's Elements

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Publisher :
ISBN 13 :
Total Pages : 544 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Euclid's Elements by : Euclid

Download or read book Euclid's Elements written by Euclid and published by . This book was released on 2002 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.

Euclid's Phaenomena

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Publisher : Routledge
ISBN 13 : 0429656793
Total Pages : 164 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Euclid's Phaenomena by : J. L. Berggren

Download or read book Euclid's Phaenomena written by J. L. Berggren and published by Routledge. This book was released on 2019-05-29 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1996, this book contains a translation and study of Euclid's Phaenomena, a work which once formed part of the mathematical training of astronomers from Central Asia to Western Europe. Included is an introduction that sets Euclid's geometry of the celestial sphere, and its application to the astronomy of his day, into its historical context for readers not already familiar with it. So no knowledge of astronomy or advanced mathematics is necessary for an understanding of the work. The book shows mathematical astronomy shortly before the invention of trigonometry, which allowed the calculation of exact results and the subsequent composition of Ptolemy's Almagest. This work and the (roughly) contemporaneous treatises of Autolycus and Aristarchos form a corpus of the oldest extant works on mathematical astronomy. Together with Euclid's Optics one has the beginnings of the history of science as an application of mathematics.

The Thirteen Books of Euclid's Elements

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781546376675
Total Pages : 448 pages
Book Rating : 4.3/5 (766 download)

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Book Synopsis The Thirteen Books of Euclid's Elements by : Euclid

Download or read book The Thirteen Books of Euclid's Elements written by Euclid and published by Createspace Independent Publishing Platform. This book was released on 2017-04-30 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euclid's Elements is a mathematical and geometric treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt circa 300 BC. It is a collection of definitions, postulates (axioms), propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover Euclidean geometry and the ancient Greek version of elementary number theory. The work also includes an algebraic system that has become known as geometric algebra, which is powerful enough to solve many algebraic problems, including the problem of finding the square root of a number. Elements is the second-oldest extant Greek mathematical treatise after Autolycus' On the Moving Sphere, and it is the oldest extant axiomatic deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science. According to Proclus, the term "element" was used to describe a theorem that is all-pervading and helps furnishing proofs of many other theorems. The word 'element' in the Greek language is the same as 'letter'. This suggests that theorems in the Elements should be seen as standing in the same relation to geometry as letters to language. Later commentators give a slightly different meaning to the term element, emphasizing how the propositions have progressed in small steps, and continued to build on previous propositions in a well-defined order.

Euclid in China

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Publisher : BRILL
ISBN 13 : 9004482792
Total Pages : 502 pages
Book Rating : 4.0/5 (44 download)

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Book Synopsis Euclid in China by : Engelfriet

Download or read book Euclid in China written by Engelfriet and published by BRILL. This book was released on 2021-11-01 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: As part of the Jesuits' programme of introduction to European culture, in 1607 the Elements of Euclid (± 300 BC) were translated for the first time into Chinese. The translation of this epoch-making ancient Greek textbook on deductive geometry meant a confrontation of contemporary Chinese and European cultures. Part I of Peter Engelfriet's work deals mainly with the European and Chinese backgrounds, part II with linguistic and textual matters. In part III the manner in which learned Chinese tried to integrate this new knowledge into their own, Chinese, mathematical and cultural traditions comes to the fore. This fascinating work explores in depth and at various levels the circumstances and mechanisms that shaped the transmission of a key work of science from one language and cultural context onto another. Consequently it offers often surprising insights into the ways of intercultural exchange and misunderstandings.

Measurement

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Publisher : Harvard University Press
ISBN 13 : 0674071174
Total Pages : 264 pages
Book Rating : 4.6/5 (74 download)

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Book Synopsis Measurement by : Paul Lockhart

Download or read book Measurement written by Paul Lockhart and published by Harvard University Press. This book was released on 2012-09-25 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: For seven years, Paul Lockhart’s A Mathematician’s Lament enjoyed a samizdat-style popularity in the mathematics underground, before demand prompted its 2009 publication to even wider applause and debate. An impassioned critique of K–12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here Lockhart offers the positive side of the math education story by showing us how math should be done. Measurement offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living. In conversational prose that conveys his passion for the subject, Lockhart makes mathematics accessible without oversimplifying. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity. Favoring plain English and pictures over jargon and formulas, he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable. His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science. Lockhart leads us into a universe where beautiful designs and patterns float through our minds and do surprising, miraculous things. As we turn our thoughts to symmetry, circles, cylinders, and cones, we begin to see that almost anyone can “do the math” in a way that brings emotional and aesthetic rewards. Measurement is an invitation to summon curiosity, courage, and creativity in order to experience firsthand the playful excitement of mathematical work.

Euclid's Elements of Geometry

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Publisher :
ISBN 13 :
Total Pages : 546 pages
Book Rating : 4.5/5 (895 download)

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Book Synopsis Euclid's Elements of Geometry by : Euclid

Download or read book Euclid's Elements of Geometry written by Euclid and published by . This book was released on 2008 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: EUCLID'S ELEMENTS OF GEOMETRY, in Greek and English. The Greek text of J.L. Heiberg (1883-1885), edited, and provided with a modern English translation, by Richard Fitzpatrick.[Description from Wikipedia: ] The Elements (Ancient Greek: Στοιχεῖον Stoikheîon) is a mathematical treatise consisting of 13 books (all included in this volume) attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century.

Euclid—The Creation of Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461214122
Total Pages : 352 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Euclid—The Creation of Mathematics by : Benno Artmann

Download or read book Euclid—The Creation of Mathematics written by Benno Artmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euclid presents the essential of mathematics in a manner which has set a high standard for more than 2000 years. This book, an explanation of the nature of mathematics from its most important early source, is for all lovers of mathematics with a solid background in high school geometry, whether they be students or university professors.

A Survey of Geometry

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (133 download)

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Book Synopsis A Survey of Geometry by : Howard Whitley Eves

Download or read book A Survey of Geometry written by Howard Whitley Eves and published by . This book was released on 2001* with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Works of Archimedes

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Publisher :
ISBN 13 :
Total Pages : 524 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Works of Archimedes by : Archimedes

Download or read book The Works of Archimedes written by Archimedes and published by . This book was released on 1897 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Euclid's Elements ... from the Latin Translation of Commandine ... Revised ... by S. Cunn. The Third Edition ... Revised ... by J. Ham, ... by Whom is Subjoined an Appendix, Etc

Download Euclid's Elements ... from the Latin Translation of Commandine ... Revised ... by S. Cunn. The Third Edition ... Revised ... by J. Ham, ... by Whom is Subjoined an Appendix, Etc PDF Online Free

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Publisher :
ISBN 13 :
Total Pages : 468 pages
Book Rating : 4.0/5 (25 download)

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Book Synopsis Euclid's Elements ... from the Latin Translation of Commandine ... Revised ... by S. Cunn. The Third Edition ... Revised ... by J. Ham, ... by Whom is Subjoined an Appendix, Etc by :

Download or read book Euclid's Elements ... from the Latin Translation of Commandine ... Revised ... by S. Cunn. The Third Edition ... Revised ... by J. Ham, ... by Whom is Subjoined an Appendix, Etc written by and published by . This book was released on 1733 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Euclid's Elements of Geometry ... from the Latin Translation of Commandine ... Revised ... by S. Cunn. The Sixth Edition ... To which is Subjoined an Appendix [by John Ham], Etc

Download Euclid's Elements of Geometry ... from the Latin Translation of Commandine ... Revised ... by S. Cunn. The Sixth Edition ... To which is Subjoined an Appendix [by John Ham], Etc PDF Online Free

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Publisher :
ISBN 13 :
Total Pages : 464 pages
Book Rating : 4.0/5 (25 download)

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Book Synopsis Euclid's Elements of Geometry ... from the Latin Translation of Commandine ... Revised ... by S. Cunn. The Sixth Edition ... To which is Subjoined an Appendix [by John Ham], Etc by :

Download or read book Euclid's Elements of Geometry ... from the Latin Translation of Commandine ... Revised ... by S. Cunn. The Sixth Edition ... To which is Subjoined an Appendix [by John Ham], Etc written by and published by . This book was released on 1749 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Euclid's Elements of Geometry, from the Latin Translation of Commandine. To which is Added, a Treatise of the Nature and Arithmetic of Logarithms ... By ... John Keill ... The Whole Revised ... By Samuel Cunn. The Eleventh Edition, Carefully Revised ... To which is Subjoined an Appendix [by John Ham], Etc. [With Plates.]

Download Euclid's Elements of Geometry, from the Latin Translation of Commandine. To which is Added, a Treatise of the Nature and Arithmetic of Logarithms ... By ... John Keill ... The Whole Revised ... By Samuel Cunn. The Eleventh Edition, Carefully Revised ... To which is Subjoined an Appendix [by John Ham], Etc. [With Plates.] PDF Online Free

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Publisher :
ISBN 13 :
Total Pages : 470 pages
Book Rating : 4.0/5 (25 download)

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Book Synopsis Euclid's Elements of Geometry, from the Latin Translation of Commandine. To which is Added, a Treatise of the Nature and Arithmetic of Logarithms ... By ... John Keill ... The Whole Revised ... By Samuel Cunn. The Eleventh Edition, Carefully Revised ... To which is Subjoined an Appendix [by John Ham], Etc. [With Plates.] by :

Download or read book Euclid's Elements of Geometry, from the Latin Translation of Commandine. To which is Added, a Treatise of the Nature and Arithmetic of Logarithms ... By ... John Keill ... The Whole Revised ... By Samuel Cunn. The Eleventh Edition, Carefully Revised ... To which is Subjoined an Appendix [by John Ham], Etc. [With Plates.] written by and published by . This book was released on 1772 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Euclid's Elements of geometry, from the Latin translation of Commandine ... with a preface ... by Doctor John Keill ... The whole revised ... by Samuel Cunn. The seventh edition, carefully revised and corrected. To which is subjoined an appendix [by John Ham], etc

Download Euclid's Elements of geometry, from the Latin translation of Commandine ... with a preface ... by Doctor John Keill ... The whole revised ... by Samuel Cunn. The seventh edition, carefully revised and corrected. To which is subjoined an appendix [by John Ham], etc PDF Online Free

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Publisher :
ISBN 13 :
Total Pages : 464 pages
Book Rating : 4.0/5 (23 download)

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Book Synopsis Euclid's Elements of geometry, from the Latin translation of Commandine ... with a preface ... by Doctor John Keill ... The whole revised ... by Samuel Cunn. The seventh edition, carefully revised and corrected. To which is subjoined an appendix [by John Ham], etc by :

Download or read book Euclid's Elements of geometry, from the Latin translation of Commandine ... with a preface ... by Doctor John Keill ... The whole revised ... by Samuel Cunn. The seventh edition, carefully revised and corrected. To which is subjoined an appendix [by John Ham], etc written by and published by . This book was released on 1754 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Euclid's Elements of Geometry [Books 1-6], Translated from the Latin of ... T. Elrington. ... To which is Added a Compenium of Algebra; Also a Compendium of Trigonometry. ... New Edition

Download Euclid's Elements of Geometry [Books 1-6], Translated from the Latin of ... T. Elrington. ... To which is Added a Compenium of Algebra; Also a Compendium of Trigonometry. ... New Edition PDF Online Free

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Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.0/5 (25 download)

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Book Synopsis Euclid's Elements of Geometry [Books 1-6], Translated from the Latin of ... T. Elrington. ... To which is Added a Compenium of Algebra; Also a Compendium of Trigonometry. ... New Edition by :

Download or read book Euclid's Elements of Geometry [Books 1-6], Translated from the Latin of ... T. Elrington. ... To which is Added a Compenium of Algebra; Also a Compendium of Trigonometry. ... New Edition written by and published by . This book was released on 1856 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Euclid's Elements of Geometry, containing the whole twelve books, translated into English, from the edition of Peyrard. To which art added, algebraic demonstrations to the second and fifth books: also, deductions in the first six, eleventh and twelfth books, with notes critical and explanatory. By G. Phillips. Part I. containing book I.-VI.

Download Euclid's Elements of Geometry, containing the whole twelve books, translated into English, from the edition of Peyrard. To which art added, algebraic demonstrations to the second and fifth books: also, deductions in the first six, eleventh and twelfth books, with notes critical and explanatory. By G. Phillips. Part I. containing book I.-VI. PDF Online Free

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Publisher :
ISBN 13 :
Total Pages : 226 pages
Book Rating : 4.0/5 (19 download)

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Book Synopsis Euclid's Elements of Geometry, containing the whole twelve books, translated into English, from the edition of Peyrard. To which art added, algebraic demonstrations to the second and fifth books: also, deductions in the first six, eleventh and twelfth books, with notes critical and explanatory. By G. Phillips. Part I. containing book I.-VI. by :

Download or read book Euclid's Elements of Geometry, containing the whole twelve books, translated into English, from the edition of Peyrard. To which art added, algebraic demonstrations to the second and fifth books: also, deductions in the first six, eleventh and twelfth books, with notes critical and explanatory. By G. Phillips. Part I. containing book I.-VI. written by and published by . This book was released on 1826 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Thirteen Books of Euclid's Elements

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Publisher :
ISBN 13 :
Total Pages : 600 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis The Thirteen Books of Euclid's Elements by : Euclid

Download or read book The Thirteen Books of Euclid's Elements written by Euclid and published by . This book was released on 1908 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: