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Dynamic Geometry articles
The Brocard Point • Here, the challenge is to find, for any triangle, the point which is the intersection of three lines equally inclined to the sides. This special point is known as the Brocard point.
Introducing Geometer’s Sketchpad • An account of experiences in introducing teachers to The Geometer’s Sketchpad
Modelling Motion Using Dynamic Geometry • How dynamic geometry software can be used to develop and explore graphs when modelling motion
Omar Khayyam’s Insight into the Cubic Equation • Khayyam described how the solution of a cubic could be obtained as the intersection of two conics, a circle and a hyperbola
An Alternative Introduction to Proof in Dynamic Geometry • A particularly effective introduction to deductive proof has been to present pupils early on with results where to find explanations (or proofs) can lead to surprising further generalisations (using proof as a means of discovery)
Omar Khayyam and Dynamic Geometry • One of the ancient cubic problems originates in trying to find a cube twice the volume of a given cube – the geometric solution to this particular cubic was known to the Ancient Greeks
Steiner’s Porism
Steiner’s ‘Amazing’ Porism created using Cinderella • If you take two concentric circles and try to ?t other circles into the annulus in between, it is clear that they will ?t exactly, without any gaps or overlaps, only if the sizes of the circles involved are suitably related
