Author: Andrew Sutton Publisher: Bloomsbury Publishing USA ISBN: 0802717764 Category : Mathematics Languages : en Pages : 65
Book Description
Presents an introduction to the origins and principles of geometry, describing geometric constructions that can be achieved through the use of rulers and compasses.
Author: George E. Martin Publisher: Springer Science & Business Media ISBN: 1461206294 Category : Mathematics Languages : en Pages : 210
Book Description
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: Christopher M. Freeman Publisher: Taylor & Francis ISBN: 1000500276 Category : Education Languages : en Pages : 84
Book Description
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: Judy Mathieson Publisher: C&T Publishing ISBN: 9780914881971 Category : Crafts & Hobbies Languages : en Pages : 106
Book Description
Important 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: Nicholas D. Kazarinoff Publisher: Courier Corporation ISBN: 0486143619 Category : Mathematics Languages : en Pages : 170
Book Description
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: Musigfi Studio Publisher: ISBN: 9789526787862 Category : Languages : en Pages : 48
Book Description
From 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: Michael McDaniel Publisher: Universal-Publishers ISBN: 1627340289 Category : Education Languages : en Pages : 149
Book Description
"'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: Robin Hartshorne Publisher: Springer Science & Business Media ISBN: 0387226761 Category : Mathematics Languages : en Pages : 535
Book Description
This 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: ISBN: 9781930820432 Category : Geometry concept Languages : en Pages : 0
Book Description
Topics include: Segment Constructions; Angles Constructions; Constructions Based on Congruent Triangle Theorems; Special Segments in Triangles; Circle Constructions.
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Author: Andrew Sutton
Author: Hilda Phoebe Hudson
Author: George E. Martin
Author: Christopher M. Freeman
Author: Judy Mathieson
Author: Nicholas D. Kazarinoff
Author: Musigfi Studio
Author: Michael McDaniel
Author: Robin Hartshorne
Author: Tammy Pelli