Article (Scientific journals)
Osculating circle with microscopes within microscopes
Bair, Jacques; Henry, Valérie
2013In Foundations of Science, 18 (2), p. 319-325
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Keywords :
osculating circle; microscope within microscope; nonstandard analysis
Abstract :
[en] 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, at 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.
Disciplines :
Mathematics
Author, co-author :
Bair, Jacques ;  Université de Liège - ULiège > HEC-Ecole de gestion : UER > Mathématiques appliquées aux sc. économiques et de gestion
Henry, Valérie ;  Université de Liège - ULiège > HEC-Ecole de gestion : UER > Mathématiques appliquées aux sc. économiques et de gestion
Language :
English
Title :
Osculating circle with microscopes within microscopes
Publication date :
2013
Journal title :
Foundations of Science
ISSN :
1233-1821
eISSN :
1572-8471
Publisher :
Springer Science & Business Media B.V., Netherlands
Volume :
18
Issue :
2
Pages :
319-325
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 26 November 2012

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