Accord de différentes loix de la nature qui avoient jusqu’ici paru incompatibles (1744)
“I have lately spent some Thoughts relative to the Nature of Light, whether it be subject to the common Laws of Motion. In this particular Newton seems to contradict himself. For in his Principia Sect. 14th he applies the common Laws of Motion to account for Reflection and Refraction, as he does also in one Part of his Optics where he proves the Sine of Incid. to Sine Refr, in a given in a given Ratio. But in another Part he says, “nothing more is requisite for producing all the Variety of Colours and Degrees of Refrangibility than that the Rays of Light be Bodies of different Sizes, the least of which may make Violet, and the Greatest the Red"; this manifestly is not consistent with the Theory of Motion applied to Bodies, where the Magnitude of the Bodies is of no Consequence. Now it is evident that if the common Theory of Motion can be applied to Light, the Red Light must have had the greatest Velocity before Incidence, as it suffers the least Deviation, for if the Vels of all the Difft colour'd Light were equal before Incidence, they must by Newton's Principia Sect. Sect. 8. Prop. 1. have continued equal after, and therefore must have suffered the same Deviation. The Determination of this Point seems to be of considerable Importance, as we so often apply the Theory of Motion to Light.”
As quoted in: Russell McCormmach (2011) Weighing the World: The Reverend John Michell of Thornhill. p. 193
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Samuel Vince 4
British mathematician, astronomer and physicist 1749–1821Related quotes
Source: Mathematical Thought from Ancient to Modern Times (1972), p. 580
Context: Fermat knew that under reflection light takes the path requiring least time and, convinced that nature does indeed act simply and economically, affirmed in letters of 1657 and 1662 his Principle of Least Time, which states that light always takes the path requiring least time. He had doubted the correctness of the law of refraction of light but when he found in 1661 that he could deduce it from his Principle, he not only resolved his doubts about the law but felt all the more certain that his Principle was correct.... Huygens, who had at first objected to Fermat's Principle, showed that it does hold for the propagation of light in media with variable indices of refraction. Even Newton's first law of motion, which states that the straight line or shortest distance is the natural motion of a body, showed nature's desire to economize. These examples suggested that there might be a more general principle. The search for such a principle was undertaken by Maupertuis.
Query 5
Opticks (1704)
Ch 1 : Production https://www.marxists.org/reference/subject/economics/mill-james/ch01.htm <!-- Cited in: Monthly Review https://books.google.nl/books?id=qytZAAAAcAAJ&pg=PA134, 1822 And partly cited in: Karl Marx. Human Requirements and Division of Labour https://www.marxists.org/archive/marx/works/1844/manuscripts/needs.htm, Manuscript, 1844. -->
Elements of Political Economy (1821)
Quoted by Sir Thomas Twisden, 1st Baronet, C.J., in Maleverer v. Redshaw (1670), 1 Mod. Rep. 36 ; and by Wilmot, L.C.J., in Collins v. Blantern (1767), 2 Wils. 351.
Source: Between Man and Man (1965), p. 147