Autoreference and magnetization in dynamic geometry

III.2 Increasing the mathematical reality

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Yves Martin - University of La Réunion

Laboratory of Computer Science and Mathematics (LIM, EA 2525)

ICTMT9, Metz, July 8, 2009

Increased mathematical reality

The true extension of the concept of "point on object" that allows magnetization is the one which makes it possible to let a point of an object pass through mathematically significant points while handling it with the mouse in simulations where ordinary direct manipulations would fail.

Referring back to the figure I.2, when M approaches the X-coordinate 3/ln (2) by less than 1 pixel, we can manage to make it take this value which is the maximum area of the triangle and for which the tangent is parallel to cord [AB].

Increased mathematical reality in space

This figure has bee made by Monique Gironce, who made a lot of tutorials for CaRMetal's site.

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