Kuhn 9: Examples versus Definitions

Scientists solve puzzles by modeling them on previous puzzle-solutions, often with only minimal recourse to symbolic generalizations. Galileo found that a ball rolling down an incline acquires just enough velocity to return it to the same vertical height on a second incline of any slope, and he learned to see that experimental situation as like the pendulum with a point-mass for a bob. Huyghens then solved the problem of the center of oscillation of a physical pendulum by imagining that the extended body of the latter was composed of Galilean point-pendula, the bonds between which could be instantaneously released at any point in the swing. After the bonds were released, the individual point-pendula would swing freely, but their collective center of gravity when each attained its highest point would, like that of Galileo's pendulum, rise only to the height from which the center of gravity of the extended pendulum had begun to fall. Finally, Daniel Bernoulli discovered how to make the flow of water from an orifice resemble Huyghens' pendulum. Determine the descent of the center of gravity of the water in tank and jet during an infinitesimal interval of time. Next imagine that each particle of water afterward moves separately upward to the maximum height attainable with the velocity acquired during that interval. The ascent of the center of gravity of the individual particles must then equal the descent of the center of gravity of the water in tank and jet. From that view of the problem the long-sought speed of efflux followed at once.
--Thomas S. Kuhn, "Postscript - 1969" in The Structure of Scientific Revolutions, 2nd Edition, Enlarged, pp 189-190.

( So how does this square with the various definitions Kuhn gives of paradigm? )

Kuhn 10: Vis viva

Directly following on the Galileo-Huyghens-Bernoulli passage I quoted in Kuhn 9, Kuhn wrote:

( tacit knowledge, which is learned by doing science rather than by acquiring rules for doing it )