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Author: George E. Martin
Publisher: Springer Science & Business Media
ISBN: 1461206294
Category : Mathematics
Languages : en
Pages : 210
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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: George E. Martin
Publisher: Springer Science & Business Media
ISBN: 1461206294
Category : Mathematics
Languages : en
Pages : 210
Get Book Here
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: George Ricks
Publisher:
ISBN:
Category :
Languages : en
Pages : 216
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Book Description
Author: Tammy Pelli
Publisher:
ISBN: 9781930820432
Category : Geometry concept
Languages : en
Pages : 0
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Book Description
Topics include: Segment Constructions; Angles Constructions; Constructions Based on Congruent Triangle Theorems; Special Segments in Triangles; Circle Constructions.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 248
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Book Description
Author: Robert Sullivan
Publisher:
ISBN:
Category :
Languages : en
Pages : 502
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Book Description
Author: Nicholas D. Kazarinoff
Publisher: Courier Corporation
ISBN: 0486143619
Category : Mathematics
Languages : en
Pages : 170
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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: Robert Joseph Sullivan
Publisher:
ISBN:
Category : Geography
Languages : en
Pages : 364
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Book Description
Author: Robert Sullivan
Publisher:
ISBN:
Category : Geography
Languages : en
Pages : 510
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Book Description
Author: Kent Hollingsworth
Publisher: University Press of Kentucky
ISBN: 0813133378
Category : History
Languages : en
Pages : 224
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Book Description
Kent Hollingsworth captures the flavor and atmosphere of the Sport of Kings in the dramatic account of the development of the Thoroughbred in Kentucky. Ranging from frontier days, when racing was conducted in open fields as horse-to-horse challenges between proud owners, to the present, when a potential Triple Crown champion may sell for millions of dollars, The Kentucky Thoroughbred considers ten outstanding stallions that dominated the shape of racing in their time as representing the many eras of Kentucky Thoroughbred breeding. No less colorful are his accounts of the owners, breeders, trainers, and jockeys associated with these Thoroughbreds, a group devoted to a sport filled with high adventure and great hazards. First published in 1976, this popular Kentucky classic has been expanded and brought up to date in this new edition.
Author: John Bryant
Publisher: Princeton University Press
ISBN: 1400837952
Category : Mathematics
Languages : en
Pages : 345
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Book Description
How do you draw a straight line? How do you determine if a circle is really round? These may sound like simple or even trivial mathematical problems, but to an engineer the answers can mean the difference between success and failure. How Round Is Your Circle? invites readers to explore many of the same fundamental questions that working engineers deal with every day--it's challenging, hands-on, and fun. John Bryant and Chris Sangwin illustrate how physical models are created from abstract mathematical ones. Using elementary geometry and trigonometry, they guide readers through paper-and-pencil reconstructions of mathematical problems and show them how to construct actual physical models themselves--directions included. It's an effective and entertaining way to explain how applied mathematics and engineering work together to solve problems, everything from keeping a piston aligned in its cylinder to ensuring that automotive driveshafts rotate smoothly. Intriguingly, checking the roundness of a manufactured object is trickier than one might think. When does the width of a saw blade affect an engineer's calculations--or, for that matter, the width of a physical line? When does a measurement need to be exact and when will an approximation suffice? Bryant and Sangwin tackle questions like these and enliven their discussions with many fascinating highlights from engineering history. Generously illustrated, How Round Is Your Circle? reveals some of the hidden complexities in everyday things.
