Geometric Constructions
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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 The Round
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Author : Nicholas D. Kazarinoff
language : en
Publisher: Courier Corporation
Release Date : 2012-09-11
Ruler And The Round written by Nicholas D. Kazarinoff and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-11 with Mathematics categories.
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.
Advanced Geometric Constructions
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Author : Alfred S. Posamentier
language : en
Publisher: Dale Seymour Publication
Release Date : 1988
Advanced Geometric Constructions written by Alfred S. Posamentier and has been published by Dale Seymour Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Geometrical constructions categories.
19 basic straightedge and compass constructions and construction solutions to algebraic equations. Also explores triangle, circle, and non-compass constructions. Many proofs, exercises and problems.
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.
Geometric Constructions And Investigations With A Mira
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Author : Ernest Woodward
language : en
Publisher:
Release Date : 1992
Geometric Constructions And Investigations With A Mira written by Ernest Woodward and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Education categories.
Activities investigate transformational geometry, symmetry, congruence, lines, and triangles
Hands On Geometry
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Author : Christopher M. Freeman
language : en
Publisher: Routledge
Release Date : 2021-09-09
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 2021-09-09 with Education categories.
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
Methods And Theories For The Solution Of Problems Of Geometrical Constructions Applied To 410 Problems
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Author : Julius Petersen
language : en
Publisher:
Release Date : 1879
Methods And Theories For The Solution Of Problems Of Geometrical Constructions Applied To 410 Problems written by Julius Petersen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1879 with Geometry categories.
Geometry Learning Contracts Understanding Geometric Constructions
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Author : Wendy Conklin
language : en
Publisher: Teacher Created Materials
Release Date : 2014-02-01
Geometry Learning Contracts Understanding Geometric Constructions written by Wendy Conklin and has been published by Teacher Created Materials this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-01 with categories.
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.
Geometric Constructions
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Author : Alfred S. Posamentier
language : en
Publisher:
Release Date : 1973
Geometric Constructions written by Alfred S. Posamentier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Geometrical drawing categories.
Practical Handbook Of Spreadsheet Curves And Geometric Constructions
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Author : Deane Arganbright
language : en
Publisher: CRC Press
Release Date : 1993-08-03
Practical Handbook Of Spreadsheet Curves And Geometric Constructions written by Deane Arganbright and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-08-03 with Mathematics categories.
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.