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• From Newton’s fluxions to virtual microscopes

  377-384

  Jacques Bair

  Valerie Henry

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  35

  The method of fluxions was originally given by Newton among others in order to determine the tangent to a curve. In this note, we will formulate this method by the light of some modern mathematical tools: using the concept of limit, but also with hyperreal numbers and their standard parts and with dual numbers; another way is the use of virtual microscopes both in the contexts of classical and non standard analysis.

• Une modélisation d'un zoom au moyen de microscopes virtuels

  319-335

  André Antibi

  Jacques Bair

  Valérie Henry

  Views:

  34

  In this paper, we explain how a computer works when "zooms" are made around a point on a planar curve. This modelisation leads to an easy and algorithmic method to find the (vertical or not vertical) tangents for the studied curve.