Companion To Euclid
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Companion To Euclid
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Author : Robin Hartshorne
language : en
Publisher: American Mathematical Society(RI)
Release Date : 1997
Companion To Euclid written by Robin Hartshorne and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
A Companion To Euclid
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Author :
language : en
Publisher:
Release Date : 1837
A Companion To Euclid written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1837 with categories.
Geometry Euclid And Beyond
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Author : Robin Hartshorne
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Geometry Euclid And Beyond written by Robin Hartshorne and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
In recent years, I have been teaching a junior-senior-level course on the classi cal geometries. This book has grown out of that teaching experience. I assume only high-school geometry and some abstract algebra. The course begins in Chapter 1 with a critical examination of Euclid's Elements. Students are expected to read concurrently Books I-IV of Euclid's text, which must be obtained sepa rately. The remainder of the book is an exploration of questions that arise natu rally from this reading, together with their modern answers. To shore up the foundations we use Hilbert's axioms. The Cartesian plane over a field provides an analytic model of the theory, and conversely, we see that one can introduce coordinates into an abstract geometry. The theory of area is analyzed by cutting figures into triangles. The algebra of field extensions provides a method for deciding which geometrical constructions are possible. The investigation of the parallel postulate leads to the various non-Euclidean geometries. And in the last chapter we provide what is missing from Euclid's treatment of the five Platonic solids in Book XIII of the Elements. For a one-semester course such as I teach, Chapters 1 and 2 form the core material, which takes six to eight weeks.
The Bones
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Author : Euclid
language : en
Publisher:
Release Date : 2002
The Bones written by Euclid and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
A handy where-to-find-it pocket reference companion to Euclid's Elements. Provides all the propositions and diagrams without the detailed proofs. Readers can use it to see the scope and structure of Elements, identify exactly what Euclid covers and what he doesn't, and to find the location of remembered propositions.
A Companion To Euclid Being A Help To The Understanding And Remembering Of The First Four Books With A Set Of Improved Figures And An Original Demonstration Of The Proposition Called In Euclid S The Twelfth Axiom By A Graduate
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Author :
language : en
Publisher:
Release Date : 1837
A Companion To Euclid Being A Help To The Understanding And Remembering Of The First Four Books With A Set Of Improved Figures And An Original Demonstration Of The Proposition Called In Euclid S The Twelfth Axiom By A Graduate written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1837 with categories.
The Oxford And Cambridge Companion To Euclid On Books I And Ii Etc
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Author : EUCLID.
language : en
Publisher:
Release Date : 1886
The Oxford And Cambridge Companion To Euclid On Books I And Ii Etc written by EUCLID. and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1886 with categories.
What Is Euclid Or Inconsistencies In Education
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Author : Joseph Stinton Cole
language : en
Publisher:
Release Date : 1860
What Is Euclid Or Inconsistencies In Education written by Joseph Stinton Cole and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1860 with Euclid's Elements categories.
Encounters With Euclid
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Author : Benjamin Wardhaugh
language : en
Publisher: Princeton University Press
Release Date : 2023-11-14
Encounters With Euclid written by Benjamin Wardhaugh and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-14 with Mathematics categories.
A sweeping cultural history of one of the most influential mathematical books ever written Euclid's Elements of Geometry is one of the fountainheads of mathematics—and of culture. Written around 300 BCE, it has traveled widely across the centuries, generating countless new ideas and inspiring such figures as Isaac Newton, Bertrand Russell, Abraham Lincoln, and Albert Einstein. Encounters with Euclid tells the story of this incomparable mathematical masterpiece, taking readers from its origins in the ancient world to its continuing influence today. In this lively and informative book, Benjamin Wardhaugh explains how Euclid’s text journeyed from antiquity to the Renaissance, introducing some of the many readers, copyists, and editors who left their mark on the Elements before handing it on. He shows how some read the book as a work of philosophy, while others viewed it as a practical guide to life. He examines the many different contexts in which Euclid's book and his geometry were put to use, from the Neoplatonic school at Athens and the artisans' studios of medieval Baghdad to the Jesuit mission in China and the workshops of Restoration London. Wardhaugh shows how the Elements inspired ideas in theology, art, and music, and how the book has acquired new relevance to the strange geometries of dark matter and curved space. Encounters with Euclid traces the life and afterlives of one of the most remarkable works of mathematics ever written, revealing its lasting role in the timeless search for order and reason in an unruly world.
Exploring Advanced Euclidean Geometry With Geogebra
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Author : Gerard A. Venema
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-12-31
Exploring Advanced Euclidean Geometry With Geogebra written by Gerard A. Venema and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-31 with Mathematics categories.
This book provides an inquiry-based introduction to advanced Euclidean geometry. It utilizes dynamic geometry software, specifically GeoGebra, to explore the statements and proofs of many of the most interesting theorems in the subject. Topics covered include triangle centers, inscribed, circumscribed, and escribed circles, medial and orthic triangles, the nine-point circle, duality, and the theorems of Ceva and Menelaus, as well as numerous applications of those theorems. The final chapter explores constructions in the Poincare disk model for hyperbolic geometry. The book can be used either as a computer laboratory manual to supplement an undergraduate course in geometry or as a stand-alone introduction to advanced topics in Euclidean geometry. The text consists almost entirely of exercises (with hints) that guide students as they discover the geometric relationships for themselves. First the ideas are explored at the computer and then those ideas are assembled into a proof of the result under investigation. The goals are for the reader to experience the joy of discovering geometric relationships, to develop a deeper understanding of geometry, and to encourage an appreciation for the beauty of Euclidean geometry.