- Sketches for Cabri Geomètre (v. 1) - L. J. Dickey, University of Waterloo
Cabri Geomètre (the original version of of the program) figures to download (binhexed): Conic Given by Five Points; Ten Sketches of Desargues Theorem; Harmonic Conjugates; The Inverse of a Circle; The Inverse of a Line; The Inverse of a Point;
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- Some Golden Geometry - Rashomon (K. Wiedman)
The Golden Mean is a ratio that is present in the growth patterns of many things - the spiral formed by a shell or the curve of a fern, for example. This page (also found at http://tony.ai/KW/goldengeom.html) gives instructions for constructing the Golden
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- Squaring the Circle - MacTutor Math History Archives
Linked essay covering the problem of squaring the circle in the form which we think of it today, which originated in Greek mathematics: given a circle, construct geometrically a square equal in area to the given circle. This article discusses the history
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- Tangent Circles - Paul Kunkel
Three circles are given. How many circles can be constructed tangent to all three? How are they constructed? This lesson includes ten applets, to cover all of the special cases. Some of them are very complex.
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- Teen Math Whizzes Go Euclid One Better - Gautam Nair, The Wall Street Journal
The scholarly journal Mathematics Teacher has churned out some 7,500 articles published over the past nine decades. This month, Volume 90, issue No. 1 will feature a first: a formal math treatise by two high school students. A reproduction of an article
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- There are trisectable angles that are not constructible - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Why certain angles that are trisectable cannot be constructed by traditional methods.
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- Things Impossible - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Essays on impossible things, including trisecting an angle, doubling a cube, squaring a circle, moving pegs five places in one direction (via checker-jumps), finding the center of a given circle with the straightedge alone, representing the square root
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- Tips & Tricks to Gothic Geometry - Joe Chiffriller; NewYorkCarver.com
The geometry of gothic cathedrals: how to construct a trifoil design, an ogee arch, and a rose window. With links to cathedral and castle tours.
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- Toys from Trash - Arvind Gupta
Step-by-step photographic instructions for building elegantly simple, colorful "Math Magic" do-it-yourself manipulatives: Abacus, Flexagon, Triangle Grid, Flat Flexagon, Slipper Insets, Folding Pentagon, Tangram, Paper Octagon, Cylinder and Cone, Area
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- Trisecting a Line Segment - Robert Styer
Several ways to trisect a line segment using compass and straightedge.
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- Trisecting an Angle - MacTutor Math History Archives
Linked essay tracing the history of the classical Greek problem of trisecting an
arbitrary angle using for the construction only ruler and compass (which is
impossible) - but, failing that, finding some other method.
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- Trisecting the Angle - Steven Dutch; University of Wisconsin - Green Bay
Why is trisecting an angle with a straightedge and compass impossible? Discussion includes several other proofs of impossibility (the largest prime number, the square root of 2, repeating patterns in the plane) and some alternate methods of trisection
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- Trisection Of An Angle - Jim Loy
A discussion of what can and can't be constructed using compasses (for drawing circles and arcs, and duplicating lengths) and straight-edge (without marks on it, for drawing straight line segments).
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- Wonders of Ancient Greek Mathematics - Timothy Reluga; Tufts University
An arbitrary collection of interesting solutions to geometric problems discovered and solved by the Greeks, limited to intuitive, elegant, or beautiful solutions and some that do not meet these requirements, serving as reminders of the level to which
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