Geometry By Construction
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Geometric Constructions
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Author : George E. Martin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Geometric Constructions written by George E. Martin 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 2012-12-06 with Mathematics categories.
Geometric constructions have been a popular part of mathematics throughout history. The first chapter here is informal and starts from scratch, introducing all the geometric constructions from high school that have been forgotten or were never learned. The second chapter formalises Plato's game, and examines problems from antiquity such as the impossibility of trisecting an arbitrary angle. After that, variations on Plato's theme are explored: using only a ruler, a compass, toothpicks, a ruler and dividers, a marked rule, or a tomahawk, ending in a chapter on geometric constructions by paperfolding. The author writes in a charming style and nicely intersperses history and philosophy within the mathematics, teaching a little geometry and a little algebra along the way. This is as much an algebra book as it is a geometry book, yet since all the algebra and geometry needed is developed within the text, very little mathematical background is required. This text has been class tested for several semesters with a master's level class for secondary teachers.
Ruler And Compass
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Author : Andrew Sutton
language : en
Publisher: Wooden Books Us
Release Date : 2022-03-15
Ruler And Compass written by Andrew Sutton and has been published by Wooden Books Us this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-15 with Mathematics categories.
How do you draw a heptagon? What about a heptakaidecagon? How do you fit circles perfectly into triangles? And around them? If the computer is down - could you do it with ruler and compass? In this unique little book, Andrew Sutton guides you through the once treasured principles of ruler and compass constructions, used for centuries by architects, carpenters, stonemasons and master craftsmen. Designed to last until the lights go out, this is a timeless book. WOODEN BOOKS USA. Small books, BIG ideas. Tiny but packed with information. "Stunning" NEW YORK TIMES. "Fascinating" FINANCIAL TIMES. "Beautiful" LONDON REVIEW OF BOOKS. "Rich and Artful" THE LANCET. "Genuinely mind-expanding" FORTEAN TIMES. "Excellent" NEW SCIENTIST.
Linguistic Geometry
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Author : Boris Stilman
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-04-30
Linguistic Geometry written by Boris Stilman 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 2000-04-30 with Computers categories.
Linguistic Geometry: From Search to Construction is the first book of its kind. Linguistic Geometry (LG) is an approach to the construction of mathematical models for large-scale multi-agent systems. A number of such systems, including air/space combat, robotic manufacturing, software re-engineering and Internet cyberwar, can be modeled as abstract board games. These are games with moves that can be represented by the movement of abstract pieces over locations on an abstract board. The purpose of LG is to provide strategies to guide the games' participants to their goals. Traditionally, discovering such strategies required searches in giant game trees. These searches are often beyond the capacity of modern and even conceivable future computers. LG dramatically reduces the size of the search trees, making the problems computationally tractable. LG provides a formalization and abstraction of search heuristics used by advanced experts including chess grandmasters. Essentially, these heuristics replace search with the construction of strategies. To formalize the heuristics, LG employs the theory of formal languages (i.e. formal linguistics), as well as certain geometric structures over an abstract board. The new formal strategies solve problems from different domains far beyond the areas envisioned by the experts. For a number of these domains, Linguistic Geometry yields optimal solutions.
Construction Geometry
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Author : Brian Walmsley
language : en
Publisher: CC Press
Release Date : 1999-03
Construction Geometry written by Brian Walmsley and has been published by CC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-03 with Technology & Engineering categories.
This textbook is designed to develop an understanding of geometrical applications for students in carpentry, millwork, building, and drafting courses. Each unit starts with simple exercises and moves to more complex assignments.
Hands On Geometry
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Author : Christopher M. Freeman
language : en
Publisher: Routledge
Release Date : 2010-01-15
Hands On Geometry written by Christopher M. Freeman and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-15 with Geometrical constructions categories.
Hands-On Geometry teaches students to draw accurate constructions of equilateral triangles, squares, and regular hexagons, octagons, and dodecagons; construct kites and use their diagonals to construct altitudes, angle bisectors, perpendicular bisectors, and the inscribed and circumscribed circles of any triangle; construct perpendicular lines and rectangles, parallel lines, and parallelograms; and construct a regular pentagon and a golden rectangle.
Redefining Geometrical Exactness
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Author : Henk J.M. Bos
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Redefining Geometrical Exactness written by Henk J.M. Bos 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 2012-12-06 with Mathematics categories.
In his "Géométrie" of 1637 Descartes achieved a monumental innovation of mathematical techniques by introducing what is now called analytic geometry. Yet the key question of the book was foundational rather than technical: When are geometrical objects known with such clarity and distinctness as befits the exact science of geometry? Classically, the answer was sought in procedures of geometrical construction, in particular by ruler and compass, but the introduction of new algebraic techniques made these procedures insufficient. In this detailed study, spanning essentially the period from the first printed edition of Pappus' "Collection" (1588, in Latin translation) and Descartes' death in 1650, Bos explores the current ideas about construction and geometrical exactness, noting that by the time Descartes entered the field the incursion of algebraic techniques, combined with an increasing uncertainty about the proper means of geometrical problem solving, had produced a certain impasse. Hethen analyses how Descartes transformed geometry by a redefinition of exactness and by a demarcation of geometry's proper subject and procedures in such a way as to incorporate the use of algebraic methods without destroying the true nature of geometry. Although mathematicians later essentially discarded Descartes' methodological convictions, his influence was profound and pervasive. Bos' insistence on the foundational aspects of the "Géométrie" provides new insights both in the genesis of Descartes' masterpiece and in its significance for the development of the conceptions of mathematical exactness.
Stereotomy
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Author : José Calvo-López
language : en
Publisher: Springer Nature
Release Date : 2020-08-08
Stereotomy written by José Calvo-López and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-08 with Mathematics categories.
This book deals with the general concepts in stereotomy and its connection with descriptive geometry, the social background of its practitioners and theoreticians, the general methods and tools of this technology, and the specific procedures for the members built in hewn stone, including arches, squinches, stairs and vaults, ending with a chapter discussing the open problems in this field. Thus, it can be used as a reference book in the subject, but it can also read as a compelling narrative on this subject, one of the main branches of pre-industrial technology. Construction in hewn stone requires the use of geometrical methods and tools to assure that individual stones, either blocks or voussoirs, fit with one another and conform to the general shape of walls, arches or vaults. During the Late Middle Ages and the Renaissance, such techniques and instruments were developed empirically by masons and architects. Later on, learned mathematicians and engineers introduced refinements in these procedures and this branch of knowledge, known as stereotomy, furnished much material to descriptive geometry, a science born with the French Revolution which provided the foundation for projective geometry.
Proof In Geometry
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Author : A. I. Fetisov
language : en
Publisher: Courier Corporation
Release Date : 2012-06-11
Proof In Geometry written by A. I. Fetisov and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-11 with Mathematics categories.
This single-volume compilation of 2 books explores the construction of geometric proofs. It offers useful criteria for determining correctness and presents examples of faulty proofs that illustrate common errors. 1963 editions.
Drawing Geometry
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Author :
language : en
Publisher: Floris Books - Floris Books
Release Date : 2007
Drawing Geometry written by and has been published by Floris Books - Floris Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Architecture categories.
Geometry is both elegantly simple and infinitely profound. Many professionals find they need to be able to draw geometric shapes accurately, and this unique book shows them how. It provides step-by-step instructions for constructing two-dimensional geometric shapes, which can be readily followed by a beginner, or used as an invaluable source book by students and professionals.
Geometry Lessons In The Waldorf School
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Author : Ernst Schuberth
language : en
Publisher:
Release Date : 2004
Geometry Lessons In The Waldorf School written by Ernst Schuberth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Geometry categories.
Second volume of geometry lessons for the Waldorf school, for Classes 4 and 5 (age 10-12).