Osculating Circle with Microscopes Within Microscopes

Jacques Bair, Valérie Henry

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    Résumé

    Classically, an osculating circle at a point of a planar curve is introduced technically, often with formula giving its radius and the coordinates of its center. In this note, we propose a new and intuitive definition of this concept: among all the circles which have, on the considered point, the same tangent as the studied curve and thus seem equal to the curve through a microscope, the osculating circle is this that seems equal to the curve through a microscope within microscope.

    langue originaleAnglais
    Pages (de - à)319-325
    Nombre de pages7
    journalFondations of Science
    Volume18
    Numéro de publication2
    Les DOIs
    Etat de la publicationPublié - 1 juin 2013

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