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- Law_of_Continuity abstract "The Law of Continuity is a heuristic principle introduced by Leibniz based on earlier work by Nicholas of Cusa and Johannes Kepler. It is the principle that "whatever succeeds for the finite, also succeeds for the infinite". Kepler used it to calculate the area of the circle by representing the latter as an infinite-sided polygon with infinitesimal sides, and adding the areas of infinitely many triangles with infinitesimal bases. Leibniz used the principle to extend concepts such as arithmetic operations, from ordinary numbers to infinitesimals, laying the groundwork for infinitesimal calculus. A mathematical implementation of the law of continuity is provided by the transfer principle in the context of the hyperreal numbers.".
- Law_of_Continuity wikiPageID "13908785".
- Law_of_Continuity wikiPageRevisionID "603368338".
- Law_of_Continuity hasPhotoCollection Law_of_Continuity.
- Law_of_Continuity subject Category:Gottfried_Leibniz.
- Law_of_Continuity subject Category:History_of_calculus.
- Law_of_Continuity subject Category:Infinity.
- Law_of_Continuity subject Category:Mathematics_of_infinitesimals.
- Law_of_Continuity subject Category:Non-standard_analysis.
- Law_of_Continuity comment "The Law of Continuity is a heuristic principle introduced by Leibniz based on earlier work by Nicholas of Cusa and Johannes Kepler. It is the principle that "whatever succeeds for the finite, also succeeds for the infinite". Kepler used it to calculate the area of the circle by representing the latter as an infinite-sided polygon with infinitesimal sides, and adding the areas of infinitely many triangles with infinitesimal bases.".
- Law_of_Continuity label "Law of Continuity".
- Law_of_Continuity sameAs m.0glsbv_.
- Law_of_Continuity sameAs Q11108587.
- Law_of_Continuity sameAs Q11108587.
- Law_of_Continuity wasDerivedFrom Law_of_Continuity?oldid=603368338.
- Law_of_Continuity isPrimaryTopicOf Law_of_Continuity.