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Descartes 's work provided the basis for the calculus developed by Newton and Leibniz , who applied infinitesimal calculus to the tangent line problem , thus permitting the evolution of that branch of modern mathematics .
 person: Descartes; person: Newton; person: Leibniz
Given options, please tell me the categories of all the listed entity words.Output format is "type1: word1; type2: word2". 
Option: location, person, organization 
Text: {0} 
 Entities: Descartes, Newton, Leibniz 
Answer:
 person: Descartes; person: Newton; person: Leibniz