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The Ruler In Geometrical Constructions
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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.
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.
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:
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.
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.
Book Synopsis The ruler in geometrical constructions, tr by : A. S. Smogorzhevskiı̆
Download or read book The ruler in geometrical constructions, tr written by A. S. Smogorzhevskiı̆ and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
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:
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.
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
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.
Book Synopsis Challenging Mathematical Problems with Elementary Solutions by : ?. ? ?????
Download or read book Challenging Mathematical Problems with Elementary Solutions written by ?. ? ????? and published by Courier Corporation. This book was released on 1987-01-01 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume II of a two-part series, this book features 74 problems from various branches of mathematics. Topics include points and lines, topology, convex polygons, theory of primes, and other subjects. Complete solutions.
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.
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:
Book Synopsis The Ruler in Geometrical Construction by : A. S. Smogorzhevskii
Download or read book The Ruler in Geometrical Construction written by A. S. Smogorzhevskii and published by . This book was released on 1961 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Sacred Geometry written by Miranda Lundy and published by Bloomsbury Publishing USA. This book was released on 2001-04-01 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: Presteigne, Powys, Wales: Wooden Books Ltd., 1998.
