Ruler And Compass

Author : Andrew Sutton
Publisher : Wooden Books Us
Page : 64 pages
File Size : 55,8 Mb
Release : 2022-03-15
Category : Mathematics
ISBN : 1952178096

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Ruler and Compass by Andrew Sutton Pdf

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.

Author : Hilda Phoebe Hudson
Publisher : Unknown
Page : 160 pages
File Size : 54,5 Mb
Release : 1916
Category : Geometry, Modern
ISBN : UCAL:B4073918

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Ruler & Compasses by Hilda Phoebe Hudson Pdf

Author : George E. Martin
Publisher : Springer Science & Business Media
Page : 210 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461206293

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Geometric Constructions by George E. Martin Pdf

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.

Author : Vasile Berinde
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 46,9 Mb
Release : 2003-12-17
Category : Mathematics
ISBN : 376437019X

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Exploring, Investigating and Discovering in Mathematics by Vasile Berinde Pdf

This book offers creative problem solving techniques designed to develop and inspire inventive skills in students. It presents an array of selected elementary themes from arithmetic, algebra, geometry, analysis and applied mathematics. Includes solutions to over 100 problems and hints for over 150 further problems and exercises.

Author : Musigfi Studio
Publisher : Unknown
Page : 48 pages
File Size : 44,8 Mb
Release : 2014-05-02
Category : Electronic
ISBN : 9526787862

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Drawing Circle Images by Musigfi Studio Pdf

From simple to complex - use a compass to draw fascinating artistic images. This book includes step-by-step instructions for all symmetries between threefold and twelvefold. Clear and precise black-and-white illustrations will guide you. The book provides ruler and compass constructions that you can draw without using units of measurement for three-, four-, five-, six-, eight-, ten- and twelvefold symmetries. In addition, it gives dimensions in inches (and cm) for all images, which you can use on both A4 and A3 sheets.

Author : Christopher M. Freeman
Publisher : Taylor & Francis
Page : 84 pages
File Size : 45,7 Mb
Release : 2021-09-09
Category : Education
ISBN : 9781000500271

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Hands-On Geometry by Christopher M. Freeman Pdf

Put compasses into your students' hands and behold the results! Hands-On Geometry teaches students to draw accurate constructions of equilateral triangles, squares, and regular hexagons, octagons, and dodecagons; to construct kites and use their diagonals to construct altitudes, angle bisectors, perpendicular bisectors, and the inscribed and circumscribed circles of any triangle; to construct perpendicular lines and rectangles, parallel lines, and parallelograms; and to construct a regular pentagon and a golden rectangle. Students will enjoy fulfilling high standards of precision with these hands-on activities. Hands-On Geometry provides the background students need to become exceptionally well prepared for a formal geometry class. The book provides an easy way to differentiate instruction: Because the lessons are self-explanatory, students can proceed at their own pace, and the finished constructions can be assessed at a glance. Grades 4-6

Author : Judy Mathieson
Publisher : C&T Publishing
Page : 106 pages
File Size : 54,8 Mb
Release : 1995
Category : Crafts & Hobbies
ISBN : 0914881973

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Mariner's Compass Quilts--new Directions by Judy Mathieson Pdf

Important Note about PRINT ON DEMAND Editions: You are purchasing a print on demand edition of this book. This book is printed individually on uncoated (non-glossy) paper with the best quality printers available. The printing quality of this copy will vary from the original offset printing edition and may look more saturated. The information presented in this version is the same as the latest edition. Any pattern pullouts have been separated and presented as single pages. If the pullout patterns are missing, please contact C&T publishing.

Author : Michael McDaniel
Publisher : Universal-Publishers
Page : 150 pages
File Size : 49,7 Mb
Release : 2015-02-05
Category : Geometrical constructions
ISBN : 9781627340281

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Geometry by Construction by Michael McDaniel Pdf

"'Geometry by construction' challenges its readers to participate in the creation of mathematics. The questions span the spectrum from easy to newly published research and so are appropriate for a variety of students and teachers. From differentiation in a high school course through college classes and into summer research, any interested geometer will find compelling material"--Back cover.

Author : Miranda Lundy
Publisher : eBook Partnership
Page : 64 pages
File Size : 55,8 Mb
Release : 2018-04-01
Category : Art
ISBN : 9781912706020

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Sacred Geometry by Miranda Lundy Pdf

Is there a secret visual language all around us? What's so special about the shape of the Great Pyramid? Why is there something so sixy about circles? How many ways can you tile the plane? Lavishly illustrated by the author, this enchanting small introduction to one of the oldest and most widely-used ancient traditions on Earth will forever change the way you look at a triangle, arch, window, fabric repeat, ceramic pattern, graphic design, painting, spiral or flower. WOODEN BOOKS are small but packed with information. "e;Fascinating"e; FINANCIAL TIMES. "e;Beautiful"e; LONDON REVIEW OF BOOKS. "e;Rich and Artful"e; THE LANCET. "e;Genuinely mind-expanding"e; FORTEAN TIMES. "e;Excellent"e; NEW SCIENTIST. "e;Stunning"e; NEW YORK TIMES. Small books, big ideas.

Author : Anonim
Publisher : Floris Books - Floris Books
Page : 86 pages
File Size : 49,6 Mb
Release : 2007
Category : Architecture
ISBN : 0863156088

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Drawing Geometry by Anonim Pdf

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.

Author : Dietmar Hildenbrand
Publisher : CRC Press
Page : 212 pages
File Size : 44,9 Mb
Release : 2020-12-29
Category : Computers
ISBN : 9781498748414

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Introduction to Geometric Algebra Computing by Dietmar Hildenbrand Pdf

From the Foreword: "Dietmar Hildenbrand's new book, Introduction to Geometric Algebra Computing, in my view, fills an important gap in Clifford's geometric algebra literature...I can only congratulate the author for the daring simplicity of his novel educational approach taken in this book, consequently combined with hands on computer based exploration. Without noticing, the active reader will thus educate himself in elementary geometric algebra algorithm development, geometrically intuitive, highly comprehensible, and fully optimized." --Eckhard Hitzer, International Christian University, Tokyo, Japan Geometric Algebra is a very powerful mathematical system for an easy and intuitive treatment of geometry, but the community working with it is still very small. The main goal of this book is to close this gap with an introduction to Geometric Algebra from an engineering/computing perspective. This book is intended to give a rapid introduction to computing with Geometric Algebra and its power for geometric modeling. From the geometric objects point of view, it focuses on the most basic ones, namely points, lines and circles. This algebra is called Compass Ruler Algebra, since it is comparable to working with a compass and ruler. The book explores how to compute with these geometric objects, and their geometric operations and transformations, in a very intuitive way. The book follows a top-down approach, and while it focuses on 2D, it is also easily expandable to 3D computations. Algebra in engineering applications such as computer graphics, computer vision and robotics are also covered.

Author : Scott Olsen
Publisher : eBook Partnership
Page : 64 pages
File Size : 44,7 Mb
Release : 2018-04-01
Category : Art
ISBN : 9781912706013

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Golden Section by Scott Olsen Pdf

What was the golden secret known to Leonardo da Vinci, Kepler, Plato and the ancient magicians? Can there really be a key to nature and life itself? In this small but compact volume internationally renowned divine proportion supersleuth Dr Olsen unravels perhaps the greatest mystery of all time, a code that seems to underly life, the universe and everything, a pattern we instinctively recognise as beautiful, and which nature herself uses at every scale. Designed for artists and scientists alike, this is the smallest, densest and most beautiful book on the golden section ever produced. WOODEN BOOKS are small but packed with information. "e;Fascinating"e; FINANCIAL TIMES. "e;Beautiful"e; LONDON REVIEW OF BOOKS. "e;Rich and Artful"e; THE LANCET. "e;Genuinely mind-expanding"e; FORTEAN TIMES. "e;Excellent"e; NEW SCIENTIST. "e;Stunning"e; NEW YORK TIMES. Small books, big ideas.

Author : Gregory T. Lee
Publisher : Springer
Page : 301 pages
File Size : 48,9 Mb
Release : 2018-04-13
Category : Mathematics
ISBN : 9783319776491

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Abstract Algebra by Gregory T. Lee Pdf

This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields. The first two chapters present preliminary topics such as properties of the integers and equivalence relations. The author then explores the first major algebraic structure, the group, progressing as far as the Sylow theorems and the classification of finite abelian groups. An introduction to ring theory follows, leading to a discussion of fields and polynomials that includes sections on splitting fields and the construction of finite fields. The final part contains applications to public key cryptography as well as classical straightedge and compass constructions. Explaining key topics at a gentle pace, this book is aimed at undergraduate students. It assumes no prior knowledge of the subject and contains over 500 exercises, half of which have detailed solutions provided.

Author : Robin Hartshorne
Publisher : Springer Science & Business Media
Page : 535 pages
File Size : 42,7 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.

Author : Angelo Alessandro Mazzotti
Publisher : Springer
Page : 160 pages
File Size : 50,5 Mb
Release : 2017-02-28
Category : Mathematics
ISBN : 9783319393759

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All Sides to an Oval by Angelo Alessandro Mazzotti Pdf

This is the only book dedicated to the Geometry of Polycentric Ovals. It includes problem solving constructions and mathematical formulas. For anyone interested in drawing or recognizing an oval, this book gives all the necessary construction and calculation tools. More than 30 basic construction problems are solved, with references to Geogebra animation videos, plus the solution to the Frame Problem and solutions to the Stadium Problem. A chapter (co-written with Margherita Caputo) is dedicated to totally new hypotheses on the project of Borromini’s oval dome of the church of San Carlo alle Quattro Fontane in Rome. Another one presents the case study of the Colosseum as an example of ovals with eight centres. The book is unique and new in its kind: original contributions add up to about 60% of the whole book, the rest being taken from published literature (and mostly from other work by the same author). The primary audience is: architects, graphic designers, industrial designers, architecture historians, civil engineers; moreover, the systematic way in which the book is organised could make it a companion to a textbook on descriptive geometry or on CAD.