Geometric Constructions

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Author :
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

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Author :
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.

Practical Handbook of Spreadsheet Curves and Geometric Constructions

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Author :
Publisher : CRC Press
ISBN 13 : 9780849389382
Total Pages : 218 pages
Book Rating : 4.3/5 (893 download)

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Book Synopsis Practical Handbook of Spreadsheet Curves and Geometric Constructions by : Deane Arganbright

Download or read book Practical Handbook of Spreadsheet Curves and Geometric Constructions written by Deane Arganbright and published by CRC Press. This book was released on 1993-08-03 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical Handbook of Spreadsheet Curves and Geometric Constructions presents a compelling description of how to use commercially available spreadsheets to design and create high-quality graphs of a variety of curves, including classical curves in mathematics. The book contains more than 65 models for the geometric construction of families of curves such as strophoids, pedals, involutes, and others. Models in the book are designed to be interactive so that users can experiment with them to produce eye-catching curves, designs, and patterns. Examples come from calculus, parametric equations, constructions of classical families, and graphs of conformal mappings of a complex variable. The author, a leading authority on spreadsheets, presents innovative techniques for using spreadsheet graphing to generate large families of lines and circles that describe various curves as envelopes of the families. The final chapter of the book discusses the use of commercial spreadsheets to create animation effects. The book is heavily illustrated, with more than 200 graphs and 60 tables. An accompanying 3.5" disk provides 25 selected examples written in Quattro Pro 2.0, Lotus 1-2-3 2.3, and Microsoft Excel 4.0. Designed for both experienced and novice spreadsheet users, Practical Handbook of Spreadsheet Curves and Geometric Constructions will be an invaluable resource for mathematicians, engineers, scientists, and computer scientists. The book will also benefit professional artists and designers interested in learning new techniques for producing mathematical curves using spreadsheet software.

Constructions

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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.

Modern Geometric Structures and Fields

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Publisher : American Mathematical Soc.
ISBN 13 : 0821839292
Total Pages : 658 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Modern Geometric Structures and Fields by : Сергей Петрович Новиков

Download or read book Modern Geometric Structures and Fields written by Сергей Петрович Новиков and published by American Mathematical Soc.. This book was released on 2006 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds and the important structures on them. This book shows that Riemannian geometry has a great influence to several fundamental areas of modern mathematics and its applications.

Geometry Learning Contracts--Understanding Geometric Constructions

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Author :
Publisher : Teacher Created Materials
ISBN 13 : 1425878601
Total Pages : 11 pages
Book Rating : 4.4/5 (258 download)

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Book Synopsis Geometry Learning Contracts--Understanding Geometric Constructions by : Wendy Conklin

Download or read book Geometry Learning Contracts--Understanding Geometric Constructions written by Wendy Conklin and published by Teacher Created Materials. This book was released on 2014-02-01 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: This learning contract lesson allows learners to work at their own paces in a flexible learning environment. Written specifically for mathematics teachers, this lesson helps facilitate the understanding and process of writing learning contracts.

Elementary and intermediate courses; geometric constructions

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Author :
Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.:/5 ( download)

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Book Synopsis Elementary and intermediate courses; geometric constructions by : Berthe E. Spink

Download or read book Elementary and intermediate courses; geometric constructions written by Berthe E. Spink and published by . This book was released on 1910 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Procedures for Civil Engineers

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Author :
Publisher : Springer
ISBN 13 : 3319242954
Total Pages : 431 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Geometric Procedures for Civil Engineers by : Elias C. Tonias

Download or read book Geometric Procedures for Civil Engineers written by Elias C. Tonias and published by Springer. This book was released on 2016-04-28 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a multitude of geometric constructions usually encountered in civil engineering and surveying practice. A detailed geometric solution is provided to each construction as well as a step-by-step set of programming instructions for incorporation into a computing system. The volume is comprised of 12 chapters and appendices that may be grouped in three major parts: the first is intended for those who love geometry for its own sake and its evolution through the ages, in general, and, more specifically, with the introduction of the computer. The second section addresses geometric features used in the book and provides support procedures used by the constructions presented. The remaining chapters and the appendices contain the various constructions. The volume is ideal for engineering practitioners in civil and construction engineering and allied areas.

Geometry of Construction: For Builders, Architects, Engineers

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Author :
Publisher : Routledge
ISBN 13 : 1317742826
Total Pages : 241 pages
Book Rating : 4.3/5 (177 download)

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Book Synopsis Geometry of Construction: For Builders, Architects, Engineers by : T.B. Nichols

Download or read book Geometry of Construction: For Builders, Architects, Engineers written by T.B. Nichols and published by Routledge. This book was released on 2015-09-30 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry of Construction has long been acknowledged as the most concise and instructive guide to the technical geometry of the construction industry, and a vital resource for students in architecture, carpentry, stonemasonry and engineering. Beginning with the very basics of technical drawing, it provides a series of increasingly complex exercises to clearly explain all that the reader needs to know about geometry. Each topic is covered with a detailed diagram and carefully written instructions, enabling the student to progress from basics such as the circle and construction of scales, to some of the most complex challenges including the entasis of a column, an ionic volute, the hemispherical dome and the setting out of barrel vaulting. The authors, T. B. Nichols and N. P. Keep, both worked extensively in the construction industry before moving into teaching, so they were ideally suited to produce this highly practical guide. First published in 1947, a revised edition, incorporating numerous suggestions from students and lecturers on Raking Sections, the Projection of Points, of Lines, and of Planes, the True Lengths of Lines, the Oblique Plane and on Roof Surfaces, was produced in 1954. Last published in 1966, it has been unobtainable since then. It remains one of the most useful books for any student in the construction industry.

Hands-On Geometry

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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

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Author :
Publisher : Universal-Publishers
ISBN 13 : 1627340289
Total Pages : 150 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 150 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.

Fundamentals of Geometry Construction

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Author :
Publisher : Springer Nature
ISBN 13 : 3030431312
Total Pages : 182 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Fundamentals of Geometry Construction by : Jorge Angeles

Download or read book Fundamentals of Geometry Construction written by Jorge Angeles and published by Springer Nature. This book was released on 2020-04-18 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: The textbook provides both beginner and experienced CAD users with the math behind the CAD. The geometry tools introduced here help the reader exploit commercial CAD software to its fullest extent. In fact, the book enables the reader to go beyond what CAD software packages offer in their menus. Chapter 1 summarizes the basic Linear and Vector Algebra pertinent to vectors in 3D, with some novelties: the 2D form of the vector product and the manipulation of “larger" matrices and vectors by means of block-partitioning of larger arrays. In chapter 2 the relations among points, lines and curves in the plane are revised accordingly; the difference between curves representing functions and their geometric counterparts is emphasized. Geometric objects in 3D, namely, points, planes, lines and surfaces are the subject of chapter 3; of the latter, only quadrics are studied, to keep the discussion at an elementary level, but the interested reader is guided to the literature on splines. The concept of affine transformations, at the core of CAD software, is introduced in chapter 4, which includes applications of these transformations to the synthesis of curves and surfaces that would be extremely cumbersome to produce otherwise. The book, catering to various disciplines such as engineering, graphic design, animation and architecture, is kept discipline-independent, while including examples of interest to the various disciplines. Furthermore, the book can be an invaluable complement to undergraduate lectures on CAD.

Islamic Geometric Patterns

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Author :
Publisher : Springer
ISBN 13 : 1441902171
Total Pages : 595 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 595 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.

Ruler and the Round

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486143619
Total Pages : 160 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 160 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.

Ibn al-Haytham's Theory of Conics, Geometrical Constructions and Practical Geometry

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Author :
Publisher : Routledge
ISBN 13 : 1135072531
Total Pages : 770 pages
Book Rating : 4.1/5 (35 download)

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Book Synopsis Ibn al-Haytham's Theory of Conics, Geometrical Constructions and Practical Geometry by : Roshdi Rashed

Download or read book Ibn al-Haytham's Theory of Conics, Geometrical Constructions and Practical Geometry written by Roshdi Rashed and published by Routledge. This book was released on 2013-06-26 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Conics, Geometrical Constructions and Practical Geometry: A History of Arabic Sciences and Mathematics Volume 3, provides a unique primary source on the history and philosophy of mathematics and science from the mediaeval Arab world. The present text is complemented by two preceding volumes of A History of Arabic Sciences and Mathematics, which focused on founding figures and commentators in the ninth and tenth centuries, and the historical and epistemological development of ‘infinitesimal mathematics’ as it became clearly articulated in the oeuvre of Ibn al-Haytham. This volume examines the increasing tendency, after the ninth century, to explain mathematical problems inherited from Greek times using the theory of conics. Roshdi Rashed argues that Ibn al-Haytham completes the transformation of this ‘area of activity,’ into a part of geometry concerned with geometrical constructions, dealing not only with the metrical properties of conic sections but with ways of drawing them and properties of their position and shape. Including extensive commentary from one of world’s foremost authorities on the subject, this book contributes a more informed and balanced understanding of the internal currents of the history of mathematics and the exact sciences in Islam, and of its adaptive interpretation and assimilation in the European context. This fundamental text will appeal to historians of ideas, epistemologists and mathematicians at the most advanced levels of research.

Ornamental Origami

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Publisher : CRC Press
ISBN 13 : 1439871086
Total Pages : 154 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Ornamental Origami by : Meenakshi Mukerji

Download or read book Ornamental Origami written by Meenakshi Mukerji and published by CRC Press. This book was released on 2020-03-27 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a great resource for people who enjoy polyhedra, symmetry, geometry, mathematics and origami. The types of models presented are similar in nature to the models in Mukerji's Marvelous Modular Origami, but some of the chapters are more advanced and all of the designs are new. The reader can learn about polyhedra while making these models and is left with the ability to design one's own models. Step-by-step folding instructions for over 40 models are presented. Although the book is for intermediate folders, beginners are encouraged to try because origami basics are explained. The diagrams are easy to follow and each model is accompanied by breathtaking finished model photographs.

Geometric Construction of the Regular Decagon and Pentagon Inscribed in a Circle

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

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Book Synopsis Geometric Construction of the Regular Decagon and Pentagon Inscribed in a Circle by : Henry Hunt Ludlow

Download or read book Geometric Construction of the Regular Decagon and Pentagon Inscribed in a Circle written by Henry Hunt Ludlow and published by . This book was released on 1904 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: