"Full use of Lagrange's own made the unification of the varied principles of statistics and dynamics possible—in statistics by the use of the principle of virtual velocities, in dynamics by the use of . This led... to generalized coordinates and to the equation of motion in their "Lagrangian" form... Newton's geometrical approach was now fully discarded; Lagrange's book was a triumph of pure analysis."
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, A Concise History of Mathematics (1948) Ch. 8 The Eighteenth Century.
https://en.wikiquote.org/wiki/Generalized_coordinates
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Generalized coordinates
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