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Full Idea
The reduction of the problems of tangents, normals, curvature, maxima and minima were effected by Newton's kinematic approach to geometry.
Clarification
'Kinematics' involve movement and change
Gist of Idea
Newton developed a kinematic approach to geometry
Source
report of Isaac Newton (Principia Mathematica [1687]) by Philip Kitcher - The Nature of Mathematical Knowledge 10.1
Book Ref
Kitcher,Philip: 'The Nature of Mathematical Knowledge' [OUP 1984], p.232
A Reaction
This approach apparently contrasts with that of Leibniz.