Construction sources
Web links
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A
biography of Euclid
A comprehensive biography of the mathematician
and author of The Elements, including links
to other relevant websites.
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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.
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Trisecting
an angle
A comprehensive look at one of the three classical
problems in Greek geometry.
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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.
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The
Measurers
Biographical material on mathematicians and developments
in geometry from the Museum of the History of
Science website.
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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).
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Sacred
geometry
Looks at the relationship between geometry and
the patterns and designs found in the natural
world.
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Native
American Geometry
A study of the physical and proportional geometry
which originates from the simple circle, amongst
native Americans.
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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.
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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
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Volume One (books I,II)
Sir Thomas L. Heath (translator)
Dover Publications
ISBN: 0486600882
paperback
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Volume Two (books III-IX)
Gail Kay Haines
Dover Publications
ISBN: 0486600890
paperback
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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.
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Sacred Geometry
Robert Lawlor
Thames & Hudson
ISBN: 0500810303
paperback (112 pages)
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Other useful books:
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Geometrical Constructions Using Compasses
Only
A. N. Kostovski
Pergamon Press
1961
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Mathematical Circus
Martin Gardner
Penguin Books
ISBN: 0140134786
paperback (288 pages)
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Tranformation Geometry
Max Jeger
Unwin Hyman
ISBN: 0045130027
* currently out of print
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The Penguin Book of Curious and Interesting
Mathematics
David Wells
Penguin Books
ISBN: 0140236031
paperback (336 pages)
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You are a Mathematician
David Wells
Penguin Books
ISBN: 014017480X
paperback (432 pages)
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Famous Problems of Geometry and how to solve
them
Benjamin Bold
Dover Publications
ISBN: 0486242978
paperback (128 pages)
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