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Author: Andrew Sutton
Publisher: Bloomsbury Publishing USA
Published: 2009-11-03
Total Pages: 65
ISBN-13: 0802717764
DOWNLOAD EBOOKPresents an introduction to the origins and principles of geometry, describing geometric constructions that can be achieved through the use of rulers and compasses.
Author: Hilda Phoebe Hudson
Publisher:
Published: 1916
Total Pages: 160
ISBN-13:
DOWNLOAD EBOOKAuthor: George E. Martin
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 210
ISBN-13: 1461206294
DOWNLOAD EBOOKGeometric 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: Vasile Berinde
Publisher: Springer Science & Business Media
Published: 2003-12-17
Total Pages: 272
ISBN-13: 9783764370190
DOWNLOAD EBOOKThis 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.
Author: Nicholas D. Kazarinoff
Publisher: Courier Corporation
Published: 2012-09-11
Total Pages: 170
ISBN-13: 0486143619
DOWNLOAD EBOOKAn 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: Musigfi Studio
Publisher:
Published: 2014-05-02
Total Pages: 48
ISBN-13: 9789526787862
DOWNLOAD EBOOKFrom simple to complex - use a compass to draw fascinating artistic images. This book includes step-by-step instructions for all symmetries between threefold and twelvefold. Clear and precise black-and-white illustrations will guide you. The book provides ruler and compass constructions that you can draw without using units of measurement for three-, four-, five-, six-, eight-, ten- and twelvefold symmetries. In addition, it gives dimensions in inches (and cm) for all images, which you can use on both A4 and A3 sheets.
Author: Christopher M. Freeman
Publisher: Taylor & Francis
Published: 2021-09-09
Total Pages: 84
ISBN-13: 1000500276
DOWNLOAD EBOOKPut 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: Judy Mathieson
Publisher: C&T Publishing
Published: 1995
Total Pages: 106
ISBN-13: 9780914881971
DOWNLOAD EBOOKImportant Note about PRINT ON DEMAND Editions: You are purchasing a print on demand edition of this book. This book is printed individually on uncoated (non-glossy) paper with the best quality printers available. The printing quality of this copy will vary from the original offset printing edition and may look more saturated. The information presented in this version is the same as the latest edition. Any pattern pullouts have been separated and presented as single pages. If the pullout patterns are missing, please contact C&T publishing.
Author: Robin Hartshorne
Publisher: Springer Science & Business Media
Published: 2013-11-11
Total Pages: 535
ISBN-13: 0387226761
DOWNLOAD EBOOKThis 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.
Author: Tammy Pelli
Publisher:
Published: 2004-02
Total Pages: 0
ISBN-13: 9781930820432
DOWNLOAD EBOOKTopics include: Segment Constructions; Angles Constructions; Constructions Based on Congruent Triangle Theorems; Special Segments in Triangles; Circle Constructions.
