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Lenses and Waves

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204 CHAPTER 5<br />

from the established laws of optics. It was no ‘truth drawn from experience’,<br />

for it mixed the properties of rays with the properties of waves. The ellipse<br />

construction was inextricably bound up with the principle of wave<br />

propagation.<br />

5.3 A second EUPHKA<br />

With his theory explaining the established laws of refraction as well as the<br />

strange refraction of Icel<strong>and</strong> crystal, such as we have set it forth in the<br />

preceding section, Huygens addressed the Académie in the summer of 1679,<br />

nearly two years after the EUPHKA of 6 August 1677. We can imagine his<br />

expectations. He would present to his colleagues a truly mechanistic<br />

explanation of the properties of light, firmly founded upon the laws of<br />

motion. Only with his principle could the laws of optics be derived in a<br />

sound <strong>and</strong> coherent way. In addition, he would present a wonderful<br />

confirmation by explaining the baffling phenomenon of strange refraction<br />

with it. Things could hardly be otherwise. His theory of waves was the only<br />

comprehensible explanation conceivable. It would show what rigorous<br />

thinking could yield. Thinking that was not easily satisfied, but aimed at<br />

rendering matters intelligible without compromise.<br />

At least one member of the Académie was not convinced immediately. It<br />

was Rømer, the same who in 1677 had provided Huygens with observational<br />

proof of the finite speed of light. Rømer’s intervention forced Huygens out<br />

of the safe domain of rational analysis, where the properties of light are<br />

derived from clear <strong>and</strong> distinct concepts by means of rigorous deduction, to<br />

the empirical domain of tinkering with the unpolished reality of<br />

measurement <strong>and</strong> experimentation. Huygens managed to counter Rømer’s<br />

objections by measurements acquired by a precise <strong>and</strong> powerful observing<br />

technique <strong>and</strong> a ingenious experiment that reveals a remarkable comm<strong>and</strong>.<br />

Remarkably, as up to this point Huygens had repeatedly steered clear of<br />

empirical grounds. These measurements of 1679 provided the data of the<br />

eventual Traité de la Lumière which, in other words, date from Huygens’ third<br />

go at strange refraction.<br />

In a letter of 11 November 1677 Huygens had informed Rømer of a<br />

letter he had written to Colbert on October 14. 134 He had praised Rømer’s<br />

“belle invention”, <strong>and</strong> now added that he had always assumed the same in<br />

order to explain the properties of light. 135 He added further that his<br />

hypothesis to explain strange refraction was so simple <strong>and</strong> so accurate <strong>and</strong><br />

agreed so well with observation that he did not doubt that everyone would<br />

accept it. 136 Replying on December 3, Rømer expressed the opinion that<br />

optical principles that could not account for strange refraction were useless. 137<br />

He was curious after Huygens’ ideas <strong>and</strong> added that he himself had also done<br />

134<br />

OC8, 41.<br />

135<br />

OC8, 36-37. This letter is quoted on page 161.<br />

136<br />

OC8, 41.<br />

137<br />

OC8, 45.

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