Advanced Geometric Constructions

Author : Alfred S. Posamentier
Publisher : Dale Seymour Publication
ISBN 13 : 9780866514293
Total Pages : 102 pages
Book Rating : 4.95/5 ( download)

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Download or read book Advanced Geometric Constructions written by Alfred S. Posamentier and published by Dale Seymour Publication. This book was released on 1988 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : George E. Martin
Publisher : Springer Science & Business Media
ISBN 13 : 1461206294
Total Pages : 210 pages
Book Rating : 4.93/5 ( download)

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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.

Author : Gerard A. Venema
Publisher : American Mathematical Soc.
ISBN 13 : 0883857847
Total Pages : 147 pages
Book Rating : 4.47/5 ( download)

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Download or read book Exploring Advanced Euclidean Geometry with GeoGebra written by Gerard A. Venema and published by American Mathematical Soc.. This book was released on 2013-12-31 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an inquiry-based introduction to advanced Euclidean geometry. It utilizes dynamic geometry software, specifically GeoGebra, to explore the statements and proofs of many of the most interesting theorems in the subject. Topics covered include triangle centers, inscribed, circumscribed, and escribed circles, medial and orthic triangles, the nine-point circle, duality, and the theorems of Ceva and Menelaus, as well as numerous applications of those theorems. The final chapter explores constructions in the Poincare disk model for hyperbolic geometry. The book can be used either as a computer laboratory manual to supplement an undergraduate course in geometry or as a stand-alone introduction to advanced topics in Euclidean geometry. The text consists almost entirely of exercises (with hints) that guide students as they discover the geometric relationships for themselves. First the ideas are explored at the computer and then those ideas are assembled into a proof of the result under investigation. The goals are for the reader to experience the joy of discovering geometric relationships, to develop a deeper understanding of geometry, and to encourage an appreciation for the beauty of Euclidean geometry.

Author : Roger A. Johnson
Publisher : Courier Corporation
ISBN 13 : 048615498X
Total Pages : 338 pages
Book Rating : 4.85/5 ( download)

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Download or read book Advanced Euclidean Geometry written by Roger A. Johnson and published by Courier Corporation. This book was released on 2013-01-08 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.

Author : Nicholas D. Kazarinoff
Publisher : Courier Corporation
ISBN 13 : 0486143619
Total Pages : 160 pages
Book Rating : 4.13/5 ( download)

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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.

Author : Christopher M. Freeman
Publisher : Routledge
ISBN 13 : 100049330X
Total Pages : 101 pages
Book Rating : 4.06/5 ( download)

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Download or read book Hands-On Geometry written by Christopher M. Freeman and published by Routledge. This book was released on 2021-09-09 with total page 101 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

Author : Michael McDaniel
Publisher : Universal-Publishers
ISBN 13 : 1627340289
Total Pages : 150 pages
Book Rating : 4.81/5 ( download)

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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.

Author : Iris Mack Dayoub
Publisher :
ISBN 13 : 9780866514996
Total Pages : 180 pages
Book Rating : 4.96/5 ( download)

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Download or read book Geometry written by Iris Mack Dayoub and published by . This book was released on 1977 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: These more advanced Mira exercises explore basic geometric concepts, then constructions, transformations and problem solving. Students must create, observe, and conjecture about constructions, as well as analyze the properties of familiar geometric figures.

Author : Wendy Conklin
Publisher : Teacher Created Materials
ISBN 13 : 1425878601
Total Pages : 11 pages
Book Rating : 4.03/5 ( download)

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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.

Author : Christopher M. Freeman
Publisher :
ISBN 13 : 9781593633165
Total Pages : 112 pages
Book Rating : 4.65/5 ( download)

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Download or read book Compass Constructions written by Christopher M. Freeman and published by . This book was released on 2008-08 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides hands-on activities to supplement a high school geometry text or to differentiate instruction for gifted middle school students.