Geometrical Constructions With A Ruler

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Geometric Constructions

Author : George E. Martin
Publisher : Springer Science & Business Media
ISBN 13 : 1461206294
Total Pages : 210 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Geometric Constructions by : George E. Martin

Download or read book Geometric Constructions written by George E. Martin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Andrew Sutton
Publisher : Bloomsbury Publishing USA
ISBN 13 : 0802717764
Total Pages : 65 pages
Book Rating : 4.8/5 (27 download)

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Book Synopsis Ruler and Compass by : Andrew Sutton

Download or read book Ruler and Compass written by Andrew Sutton and published by Bloomsbury Publishing USA. This book was released on 2009-11-03 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an introduction to the origins and principles of geometry, describing geometric constructions that can be achieved through the use of rulers and compasses.

Ruler and the Round

Author : Nicholas D. Kazarinoff
Publisher : Courier Corporation
ISBN 13 : 0486143619
Total Pages : 170 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Ruler and the Round by : Nicholas D. Kazarinoff

Download or read book Ruler and the Round written by Nicholas D. Kazarinoff and published by Courier Corporation. This book was released on 2012-09-11 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: An intriguing look at the "impossible" geometric constructions (those that defy completion with just a ruler and a compass), this book covers angle trisection and circle division. 1970 edition.

Exploring, Investigating and Discovering in Mathematics

Author : Vasile Berinde
Publisher : Springer Science & Business Media
ISBN 13 : 9783764370190
Total Pages : 272 pages
Book Rating : 4.3/5 (71 download)

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Book Synopsis Exploring, Investigating and Discovering in Mathematics by : Vasile Berinde

Download or read book Exploring, Investigating and Discovering in Mathematics written by Vasile Berinde and published by Springer Science & Business Media. This book was released on 2003-12-17 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Hands-On Geometry

Author : Christopher M. Freeman
Publisher : Taylor & Francis
ISBN 13 : 1000500276
Total Pages : 84 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Hands-On Geometry by : Christopher M. Freeman

Download or read book Hands-On Geometry written by Christopher M. Freeman and published by Taylor & Francis. This book was released on 2021-09-09 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Geometry by Construction

Author : Michael McDaniel
Publisher : Universal-Publishers
ISBN 13 : 1627340289
Total Pages : 149 pages
Book Rating : 4.6/5 (273 download)

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Book Synopsis Geometry by Construction by : Michael McDaniel

Download or read book Geometry by Construction written by Michael McDaniel and published by Universal-Publishers. This book was released on 2015-02-05 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: "'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.

Constructions

Author : Tammy Pelli
Publisher :
ISBN 13 : 9781930820432
Total Pages : 0 pages
Book Rating : 4.8/5 (24 download)

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Book Synopsis Constructions by : Tammy Pelli

Download or read book Constructions written by Tammy Pelli and published by . This book was released on 2004-02 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics include: Segment Constructions; Angles Constructions; Constructions Based on Congruent Triangle Theorems; Special Segments in Triangles; Circle Constructions.

Geometrical Constructions with a Ruler

Author : Jakob Steiner
Publisher : New York : Scripta Mathematica, Yeshiva University
ISBN 13 :
Total Pages : 108 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Geometrical Constructions with a Ruler by : Jakob Steiner

Download or read book Geometrical Constructions with a Ruler written by Jakob Steiner and published by New York : Scripta Mathematica, Yeshiva University. This book was released on 1950 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometrical Constructions Using Compasses Only

Author : Aleksandr Kostovskiĭ
Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Geometrical Constructions Using Compasses Only by : Aleksandr Kostovskiĭ

Download or read book Geometrical Constructions Using Compasses Only written by Aleksandr Kostovskiĭ and published by . This book was released on 1961 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Redefining Geometrical Exactness

Author : Henk J.M. Bos
Publisher : Springer Science & Business Media
ISBN 13 : 1461300878
Total Pages : 472 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Redefining Geometrical Exactness by : Henk J.M. Bos

Download or read book Redefining Geometrical Exactness written by Henk J.M. Bos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. He then 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.

Ruler & Compasses

Author : Hilda Phoebe Hudson
Publisher :
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.:/5 (4 download)

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Book Synopsis Ruler & Compasses by : Hilda Phoebe Hudson

Download or read book Ruler & Compasses written by Hilda Phoebe Hudson and published by . This book was released on 1916 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry: Euclid and Beyond

Author : Robin Hartshorne
Publisher : Springer Science & Business Media
ISBN 13 : 0387226761
Total Pages : 535 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Geometry: Euclid and Beyond by : Robin Hartshorne

Download or read book Geometry: Euclid and Beyond written by Robin Hartshorne and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Projective Geometry

Author : H.S.M. Coxeter
Publisher : Springer Science & Business Media
ISBN 13 : 9780387406237
Total Pages : 180 pages
Book Rating : 4.4/5 (62 download)

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Book Synopsis Projective Geometry by : H.S.M. Coxeter

Download or read book Projective Geometry written by H.S.M. Coxeter and published by Springer Science & Business Media. This book was released on 2003-10-09 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Euclidean geometry, constructions are made with ruler and compass. Projective geometry is simpler: its constructions require only a ruler. In projective geometry one never measures anything, instead, one relates one set of points to another by a projectivity. The first two chapters of this book introduce the important concepts of the subject and provide the logical foundations. The third and fourth chapters introduce the famous theorems of Desargues and Pappus. Chapters 5 and 6 make use of projectivities on a line and plane, respectively. The next three chapters develop a self-contained account of von Staudt's approach to the theory of conics. The modern approach used in that development is exploited in Chapter 10, which deals with the simplest finite geometry that is rich enough to illustrate all the theorems nontrivially. The concluding chapters show the connections among projective, Euclidean, and analytic geometry.

Popular Lectures in Mathematics

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (9 download)

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Book Synopsis Popular Lectures in Mathematics by :

Download or read book Popular Lectures in Mathematics written by and published by . This book was released on 1961 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Drawing Geometry

Author :
Publisher : Floris Books - Floris Books
ISBN 13 : 9780863156083
Total Pages : 86 pages
Book Rating : 4.1/5 (56 download)

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Book Synopsis Drawing Geometry by :

Download or read book Drawing Geometry written by and published by Floris Books - Floris Books. This book was released on 2007 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Ruler in Geometrical Constructions

Author : A. S. Smogorzhevskiĭ
Publisher :
ISBN 13 :
Total Pages : 110 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Ruler in Geometrical Constructions by : A. S. Smogorzhevskiĭ

Download or read book The Ruler in Geometrical Constructions written by A. S. Smogorzhevskiĭ and published by . This book was released on 1961 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Islamic Geometric Patterns

Author : Jay Bonner
Publisher : Springer
ISBN 13 : 1441902171
Total Pages : 616 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Islamic Geometric Patterns by : Jay Bonner

Download or read book Islamic Geometric Patterns written by Jay Bonner and published by Springer. This book was released on 2017-08-17 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main focus of this unique book is an in-depth examination of the polygonal technique; the primary method used by master artists of the past in creating Islamic geometric patterns. The author details the design methodology responsible for this all-but-lost art form and presents evidence for its use from the historical record, both of which are vital contributions to the understanding of this ornamental tradition. Additionally, the author examines the historical development of Islamic geometric patterns, the significance of geometric design within the broader context of Islamic ornament as a whole, the formative role that geometry plays throughout the Islamic ornamental arts (including calligraphy, the floral idiom, dome decoration, geometric patterns, and more), and the underexamined question of pattern classification. Featuring over 600 beautiful color images, Islamic Geometric Patterns: Their Historical Development and Traditional Methods of Con struction is a valuable addition to the literature of Islamic art, architecture and geometric patterns. This book is ideal for students and scholars of geometry, the history of mathematics, and the history of Islamic art, architecture, and culture. In addition, artists, designers, craftspeople, and architects will all find this book an exceptionally informative and useful asset in their fields. Jay Bonner is an architectural ornamentalist and unaffiliated scholar of Islamic geometric design. He received his MDes from the Royal College of Art in London (1983). He has contributed ornamental designs for many international architectural projects, including the expansion of both the al-Masjid al-Haram (Grand Mosque) in Mecca, and the al-Masjid an Nawabi (Prophet’s Mosque) in Medina, as well the Tomb of Sheikh Hujwiri in Lahore, and the Ismaili Centre in London – to name but a few. He is committed to the revitalization of Islamic geometric design through the teaching of traditional methodological practices. To this end, in addition to publishing, Jay Bonner has lectured and taught design seminars at many universities and conferences in North America, Europe, North Africa and Asia.