Construction sources

Web links

Link

A biography of Euclid
A comprehensive biography of the mathematician and author of The Elements, including links to other relevant websites.

Link

An introduction to Euclid
An introduction to the works of Euclid, with an emphasis on The Elements.

Link

Interactive Euclid's Elements
Uses Java to give an interactive demonstration of Euclid's Elements.

Link

Byrne's edition of Euclid
An edition of Euclid's Elements published in England in 1847, by the mathematician Oliver Byrne.

Link

The Visual Elements of Euclid
Another edition of Euclid's Elements, based on the translation from Greek by Heath in the 1920s, but with each proposition broken down into a series of graphic representations.

Link

Trisecting an angle
A comprehensive look at one of the three classical problems in Greek geometry.

Link

Duplicating a cube
The problem of duplicating a cube, along with solutions and exercises, is explored by the University of Kentucky's distance learning web pages.

Link

Survival and influence of Greek mathematics
A broad history of the development of mathematics and developments in geometry, from the Britannica.com website.

Link

The Measurers
Biographical material on mathematicians and developments in geometry from the Museum of the History of Science website.

Link

The complexity of geometric constructions
Constructions created using straight-edge and the collapsing compass - the tools of Euclid.

Link

Grace - Graphical Ruler And Compass Editor
An interactive ruler and compass construction editor which, like the interactive geometry in this unit, requires Java to be enabled in your browser.

Link

Compass-only constructions
Illustrates compass-only constructions from Martin Gardner and A. N. Kostovski's books on the subject (see the section below on Books).

Link

Geometric construction with the compass alone
Looks at constructions which can be created by using the compass alone, with reference to the work of Lorenzo Mascheroni and Jacob Steiner.

Link

Sacred geometry
Looks at the relationship between geometry and the patterns and designs found in the natural world.

Link

Native American Geometry
A study of the physical and proportional geometry which originates from the simple circle, amongst native Americans.

Link

Crop circles and sacred geometry
An intruiging look at the correlation between sacred geometry and the phenomenon of crop circles, which includes a brief outline of the origins of sacred geometry.

Books

The constructions in this unit are based on ideas that can be traced back over 2000 years to the works of Euclid (thought to be born around 325 BC). The Thirteen Books of Euclid's Elements is a key source book when studying geometry. Some of the content of Book I is included as a part of this unit and you can browse through the propositions at any time whilst working on the project.

The Thirteen Books of Euclid's Elements

Volume One (books I,II)
Sir Thomas L. Heath (translator)
Dover Publications
ISBN: 0486600882
paperback

Volume Two (books III-IX)
Gail Kay Haines
Dover Publications
ISBN: 0486600890
paperback

Another source book is Sacred Geometry by Robert Lawlor, which explores geometry using illustrations from science and art, such as Islamic tiles, atomic structure, architectural proportions and fine art. Nine workbooks lead you through geometric constructions using only a pencil, compass, straight-edge and graph paper. Includes the Vesica Piscis, Golden Section, Squaring the Circle, Geometry and Music, the Platonic Solids and more. Interspersed with philosophy about the meanings and symbolism of sacred geometry.

Some of the ideas in Sacred Geometry are included as a part of this unit and you can browse through them at any time.

Sacred Geometry
Robert Lawlor
Thames & Hudson
ISBN: 0500810303
paperback (112 pages)

Other useful books:

Geometrical Constructions Using Compasses Only
A. N. Kostovski
Pergamon Press
1961

Mathematical Circus
Martin Gardner
Penguin Books
ISBN: 0140134786
paperback (288 pages)

Tranformation Geometry
Max Jeger
Unwin Hyman
ISBN: 0045130027
* currently out of print

The Penguin Book of Curious and Interesting Mathematics
David Wells
Penguin Books
ISBN: 0140236031
paperback (336 pages)

You are a Mathematician
David Wells
Penguin Books
ISBN: 014017480X
paperback (432 pages)

Famous Problems of Geometry and how to solve them
Benjamin Bold
Dover Publications
ISBN: 0486242978
paperback (128 pages)

Hjelp Skriv ut Avslutt