Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Method_of_normals> ?p ?o }
Showing triples 1 to 27 of
27
with 100 triples per page.
- Method_of_normals abstract "In calculus, the method of normals was a technique invented by Descartes for finding normal and tangent lines to curves. It represented one of the earliest methods for constructing tangents to curves. The method hinges on the observation that the radius of a circle is always normal to the circle itself. With this in mind Descartes would construct a circle that was tangent to a given curve. He could then use the radius at the point of intersection to find the slope of a normal line, and from this one can easily find the slope of a tangent line. This was discovered about the same time as Fermat's method of adequality. While Fermat's method had more in common with the infinitesimal techniques that were to be used later, Descartes method was more influential in the early history of calculus. (Katz 2008)One reason Descartes method fell from favor was the algebraic complexity it involved. On the other hand this method can be used to rigorously define the derivative for a wide class of functions using neither infinitesimal nor limit techniques. It is also related to a completely general definition of differentiability given by Carathéodory (Range 2011).".
- Method_of_normals wikiPageID "31991866".
- Method_of_normals wikiPageLength "1655".
- Method_of_normals wikiPageOutDegree "10".
- Method_of_normals wikiPageRevisionID "680871027".
- Method_of_normals wikiPageWikiLink Adequality.
- Method_of_normals wikiPageWikiLink Calculus.
- Method_of_normals wikiPageWikiLink Category:History_of_calculus.
- Method_of_normals wikiPageWikiLink Constantin_Carathéodory.
- Method_of_normals wikiPageWikiLink Curve.
- Method_of_normals wikiPageWikiLink Normal_(geometry).
- Method_of_normals wikiPageWikiLink Pierre_de_Fermat.
- Method_of_normals wikiPageWikiLink René_Descartes.
- Method_of_normals wikiPageWikiLink Tangent.
- Method_of_normals wikiPageWikiLinkText "method of normals".
- Method_of_normals wikiPageUsesTemplate Template:Citation.
- Method_of_normals wikiPageUsesTemplate Template:Harv.
- Method_of_normals subject Category:History_of_calculus.
- Method_of_normals hypernym Technique.
- Method_of_normals type TopicalConcept.
- Method_of_normals comment "In calculus, the method of normals was a technique invented by Descartes for finding normal and tangent lines to curves. It represented one of the earliest methods for constructing tangents to curves. The method hinges on the observation that the radius of a circle is always normal to the circle itself. With this in mind Descartes would construct a circle that was tangent to a given curve.".
- Method_of_normals label "Method of normals".
- Method_of_normals sameAs Q6823721.
- Method_of_normals sameAs m.0gvr6sf.
- Method_of_normals sameAs Q6823721.
- Method_of_normals wasDerivedFrom Method_of_normals?oldid=680871027.
- Method_of_normals isPrimaryTopicOf Method_of_normals.