The Way To Geometry

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The Way To Geometry

Peter Ramus
The Way To Geometry Book PDF

Author : Peter Ramus
Publisher : E-Kitap Projesi & Cheapest Books
Page : 752 pages
File Size : 48,8 Mb
Release : 2024-02-04
Category : Young Adult Nonfiction
ISBN : 9786059285797

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The Way To Geometry by Peter Ramus Pdf

Plato saith "tov peov akei gewmetreiv", That "God doth alwayes worke by Geometry", that is, as the wiseman doth interprete it, Sap. XI. 21. Omnia in mensura & numero & pondere disponere. Dispose all things by measure, and number, and weight: Or, as the learned Plutarch speaketh; He adorneth and layeth out all the parts of the world according to rate, proportion, and similitude. Now who, I pray you, understandeth what these termes meane, but he which hath some meane skill in Geometry? Therefore none but such an one, may be able to declare and teach these things unto others. How many things are there in holy Scripture which may not well be understood without some meane skill in Geometry? The Fabricke and bignesse of Noah's Arke: The Sciagraphy of the Temple set out by Ezechiel, Who may understand, but he that is skilfull in these Arts? I speake not of many and sundry words both in the New and Old Testaments, whose genuine and proper signification is merely Geometricall: And cannot well be conceived but of a Geometer. To the Reader: Friendly Reader, that which is here set forth to thy view, is a Translation out of Ramus. Formerly indeed Translated by one Mr. Thomas Hood, but never before set forth with the Demonst-rations and Diagrammes, which being cut before the Authors death, and the Worke it selfe finished, the Coppie I having in mine hands, never had thought for the promulgation of it, but that it should have died with its Author, considering no small prejudice usually attends the printing of dead mens Workes, and wee see the times, the world is now all eare and tongue, the most given with the Athenians, to little else than to heare and tell newes: And if Apelles that skilfull Artist alwayes found so-mewhat to be amended in those Pictures which he had most curiously drawne; surely much in this Worke might have beene amended if the Authour had lived to refine it..

The Way To Geometry

Petrus Ramus
The Way To Geometry Book PDF

Author : Petrus Ramus
Publisher : DigiCat
Page : 362 pages
File Size : 46,5 Mb
Release : 2022-08-01
Category : Mathematics
ISBN : EAN:8596547119746

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The Way To Geometry by Petrus Ramus Pdf

DigiCat Publishing presents to you this special edition of "The Way To Geometry" by Petrus Ramus. DigiCat Publishing considers every written word to be a legacy of humankind. Every DigiCat book has been carefully reproduced for republishing in a new modern format. The books are available in print, as well as ebooks. DigiCat hopes you will treat this work with the acknowledgment and passion it deserves as a classic of world literature.

A Royal Road to Algebraic Geometry

Audun Holme
A Royal Road to Algebraic Geometry Book PDF

Author : Audun Holme
Publisher : Springer Science & Business Media
Page : 365 pages
File Size : 52,8 Mb
Release : 2011-10-06
Category : Mathematics
ISBN : 9783642192258

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A Royal Road to Algebraic Geometry by Audun Holme Pdf

This book is about modern algebraic geometry. The title A Royal Road to Algebraic Geometry is inspired by the famous anecdote about the king asking Euclid if there really existed no simpler way for learning geometry, than to read all of his work Elements. Euclid is said to have answered: “There is no royal road to geometry!” The book starts by explaining this enigmatic answer, the aim of the book being to argue that indeed, in some sense there is a royal road to algebraic geometry. From a point of departure in algebraic curves, the exposition moves on to the present shape of the field, culminating with Alexander Grothendieck’s theory of schemes. Contemporary homological tools are explained. The reader will follow a directed path leading up to the main elements of modern algebraic geometry. When the road is completed, the reader is empowered to start navigating in this immense field, and to open up the door to a wonderful field of research. The greatest scientific experience of a lifetime!

Advanced Euclidean Geometry

Roger A. Johnson
Advanced Euclidean Geometry Book PDF

Author : Roger A. Johnson
Publisher : Courier Corporation
Page : 338 pages
File Size : 45,9 Mb
Release : 2013-01-08
Category : Mathematics
ISBN : 9780486154985

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Advanced Euclidean Geometry by Roger A. Johnson Pdf

This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.

Euclid

Shoo Rayner
Euclid Book PDF

Author : Shoo Rayner
Publisher : Unknown
Page : 54 pages
File Size : 45,6 Mb
Release : 2017-11-02
Category : Juvenile Nonfiction
ISBN : 1908944366

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Euclid by Shoo Rayner Pdf

Geometry is brought to life as Euclid explains principles of Geometry to his friends. With jokes and lots of illustrations, discover the beauty of geometry and, before you know it, you too will soon be a friend of Euclid! Shoo Rayner adds humour and simplicity to a tricky subject. A perfect introduction.

The Wonder Book of Geometry

David Acheson
The Wonder Book of Geometry Book PDF

Author : David Acheson
Publisher : Oxford University Press
Page : 240 pages
File Size : 55,6 Mb
Release : 2020-10-22
Category : Mathematics
ISBN : 9780192585370

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The Wonder Book of Geometry by David Acheson Pdf

How can we be sure that Pythagoras's theorem is really true? Why is the 'angle in a semicircle' always 90 degrees? And how can tangents help determine the speed of a bullet? David Acheson takes the reader on a highly illustrated tour through the history of geometry, from ancient Greece to the present day. He emphasizes throughout elegant deduction and practical applications, and argues that geometry can offer the quickest route to the whole spirit of mathematics at its best. Along the way, we encounter the quirky and the unexpected, meet the great personalities involved, and uncover some of the loveliest surprises in mathematics.

Geometry: Euclid and Beyond

Robin Hartshorne
Geometry Euclid and Beyond Book PDF

Author : Robin Hartshorne
Publisher : Springer Science & Business Media
Page : 535 pages
File Size : 47,5 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9780387226767

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Geometry: Euclid and Beyond by Robin Hartshorne Pdf

This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.

Euclid's Elements (the Thirteen Books)

Euclid
Euclid s Elements the Thirteen Books Book PDF

Author : Euclid
Publisher : Unknown
Page : 404 pages
File Size : 53,7 Mb
Release : 2017-12-17
Category : Mathematics
ISBN : 1420956477

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Euclid's Elements (the Thirteen Books) by Euclid Pdf

Euclid was a mathematician from the Greek city of Alexandria who lived during the 4th and 3rd century B.C. and is often referred to as the "father of geometry." Within his foundational treatise "Elements," Euclid presents the results of earlier mathematicians and includes many of his own theories in a systematic, concise book that utilized a brief set of axioms and meticulous proofs to solidify his deductions. In addition to its easily referenced geometry, "Elements" also includes number theory and other mathematical considerations. For centuries, this work was a primary textbook of mathematics, containing the only framework for geometry known by mathematicians until the development of "non-Euclidian" geometry in the late 19th century. The extent to which Euclid's "Elements" is of his own original authorship or borrowed from previous scholars is unknown, however despite this fact it was his collation of these basic mathematical principles for which most of the world would come to the study of geometry. Today, Euclid's "Elements" is acknowledged as one of the most influential mathematical texts in history. This volume includes all thirteen books of Euclid's "Elements," is printed on premium acid-free paper, and follows the translation of Thomas Heath.

Roads to Geometry

Edward C. Wallace,Stephen F. West
Roads to Geometry Book PDF

Author : Edward C. Wallace,Stephen F. West
Publisher : Waveland Press
Page : 510 pages
File Size : 47,5 Mb
Release : 2015-10-23
Category : Mathematics
ISBN : 9781478632047

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Roads to Geometry by Edward C. Wallace,Stephen F. West Pdf

Now available from Waveland Press, the Third Edition of Roads to Geometry is appropriate for several kinds of students. Pre-service teachers of geometry are provided with a thorough yet accessible treatment of plane geometry in a historical context. Mathematics majors will find its axiomatic development sufficiently rigorous to provide a foundation for further study in the areas of Euclidean and non-Euclidean geometry. By using the SMSG postulate set as a basis for the development of plane geometry, the authors avoid the pitfalls of many “foundations of geometry” texts that encumber the reader with such a detailed development of preliminary results that many other substantive and elegant results are inaccessible in a one-semester course. At the end of each section is an ample collection of exercises of varying difficulty that provides problems that both extend and clarify results of that section, as well as problems that apply those results. At the end of chapters 3–7, a summary list of the new definitions and theorems of each chapter is included.

Kiselev's Geometry

Andreĭ Petrovich Kiselev
Kiselev s Geometry Book PDF

Author : Andreĭ Petrovich Kiselev
Publisher : Unknown
Page : 192 pages
File Size : 44,8 Mb
Release : 2008
Category : Geometry
ISBN : UCSD:31822037285152

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Kiselev's Geometry by Andreĭ Petrovich Kiselev Pdf

This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.

Encounters with Euclid

Benjamin Wardhaugh
Encounters with Euclid Book PDF

Author : Benjamin Wardhaugh
Publisher : Princeton University Press
Page : 416 pages
File Size : 52,6 Mb
Release : 2023-11-14
Category : Mathematics
ISBN : 9780691235769

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Encounters with Euclid by Benjamin Wardhaugh Pdf

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.

Introduction to Projective Geometry

C. R. Wylie
Introduction to Projective Geometry Book PDF

Author : C. R. Wylie
Publisher : Courier Corporation
Page : 578 pages
File Size : 45,9 Mb
Release : 2011-09-12
Category : Mathematics
ISBN : 9780486141701

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Introduction to Projective Geometry by C. R. Wylie Pdf

This lucid introductory text offers both an analytic and an axiomatic approach to plane projective geometry. The analytic treatment builds and expands upon students' familiarity with elementary plane analytic geometry and provides a well-motivated approach to projective geometry. Subsequent chapters explore Euclidean and non-Euclidean geometry as specializations of the projective plane, revealing the existence of an infinite number of geometries, each Euclidean in nature but characterized by a different set of distance- and angle-measurement formulas. Outstanding pedagogical features include worked-through examples, introductions and summaries for each topic, and numerous theorems, proofs, and exercises that reinforce each chapter's precepts. Two helpful indexes conclude the text, along with answers to all odd-numbered exercises. In addition to its value to undergraduate students of mathematics, computer science, and secondary mathematics education, this volume provides an excellent reference for computer science professionals.

Lines and Curves

Victor Gutenmacher,N.B. Vasilyev
Lines and Curves Book PDF

Author : Victor Gutenmacher,N.B. Vasilyev
Publisher : Springer Science & Business Media
Page : 166 pages
File Size : 42,8 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475738094

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Lines and Curves by Victor Gutenmacher,N.B. Vasilyev Pdf

Broad appeal to undergraduate teachers, students, and engineers; Concise descriptions of properties of basic planar curves from different perspectives; useful handbook for software engineers; A special chapter---"Geometry on the Web"---will further enhance the usefulness of this book as an informal tutorial resource.; Good mathematical notation, descriptions of properties of lines and curves, and the illustration of geometric concepts facilitate the design of computer graphics tools and computer animation.; Video game designers, for example, will find a clear discussion and illustration of hard-to-understand trajectory design concepts.; Good supplementary text for geometry courses at the undergraduate and advanced high school levels

Groups

R. P. Burn
Groups Book PDF

Author : R. P. Burn
Publisher : Cambridge University Press
Page : 260 pages
File Size : 41,7 Mb
Release : 1987-09-03
Category : Mathematics
ISBN : 0521347939

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Groups by R. P. Burn Pdf

Following the same successful approach as Dr. Burn's previous book on number theory, this text consists of a carefully constructed sequence of questions that will enable the reader, through participation, to study all the group theory covered by a conventional first university course. An introduction to vector spaces, leading to the study of linear groups, and an introduction to complex numbers, leading to the study of Möbius transformations and stereographic projection, are also included. Quaternions and their relationships to 3-dimensional isometries are covered, and the climax of the book is a study of the crystallographic groups, with a complete analysis of these groups in two dimensions.

Elements of Geometry

S. Barnard,J. M. Child
Elements of Geometry Book PDF

Author : S. Barnard,J. M. Child
Publisher : Unknown
Page : 450 pages
File Size : 49,7 Mb
Release : 2016-01-01
Category : Electronic
ISBN : 1781830339

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Elements of Geometry by S. Barnard,J. M. Child Pdf

Key Features:* Euclid theorem given with substantive proofs.* Parallels and tangents are treated using Euclid methods.* Numerical arranged systematically from simple to more difficult.About the Book:This book contains all elements (including the parallel postulate and theaxioms) and the basic propositions of geometry. Details of Euclid'sdefinitions and its adaptation to explain various geometries have beenattempted thoroughly.