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Most readers will miss the demonstrations
of the results and bibliographical literature. It was not the TTW aim to
provide them. However, I believe that the readers will enjoy both manipulating
and exploring the shapes by themselves.
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This will not be feasible without a Dynamic
Geometry software like Cabri. The choice of Cabri, and not one of the many
other good ones, is only due to the author's familiarity with it from its
early days. Anyway, all of them allow us to share the attitude shown by
Jean Jacques Rousseau in his Emile, Second Book:
Faites des figures exactes, combinez-les,
posez-les l'une sur l'autre, examinez leurs rapports; vous trouverez toute
la géométrie élémentaire en marchant d'observation
en observation ...
Pour vérifier la justesse
de la figure, nous l'examinerons par toutes ses propriétés
sensibles; et cela nous donnera occasion d'en découvrir chaque jour
de nouvelles.
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Each definition and each result in TTW
bears one or several downloadable Cabri figures that can be manipulated,
modified or completed off-line. Most of the definitions also bear a Cabri
macro that allows the straight drawing of the item, avoiding some tedious
constructions. All the macros are zipped in a file TTWMACROS.zip (146 Kb)
that can be downloaded clicking here.
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