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PART 3: THE ANALYTICAL REVOLUTION
Part
PART 3: THE ANALYTICAL REVOLUTION
Ch. 3.1: D'Alembert's Principle & The Birth of the Virtual (Virtual Work)
Ch. 3.2: Lagrange & Generalized Coordinates (Euler-Lagrange, L = T - V)
Ch. 3.3: Maupertuis & The Principle of Least Action (Teleology returns)
Ch. 3.4: Hamilton & Phase Space (H = T + V, Canonical Equations)
Ch. 3.5: Hamilton-Jacobi & The Optical-Mechanical Analogy (Action as wavefront)
PHIL Embedded: The resurrection of Aristotle's Final Cause. The shift from local causation to global optimization. The bridge to quantum mechanics.