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In December, 1851, these seven judges were named Hardouin, Pataille, Moreau, Delapalme, Cauchy, Grandet, and Quesnault, the two last-named being Assistants. These men, almost unknown, had nevertheless some antecedents.
"Done and deliberated in the Council Chamber. Present, M. Hardouin, President; M. Pataille, M. Moreau, M. de la Palme, and M. Cauchy, judges, this second day of December, 1851." After this textual extract from the minutes of the High Court of Justice there is the following entry: " A procès-verbal announcing the arrival of a commissaire de police, who called upon the High Court to separate.
M. Cauchy, a few years previously President of the Chamber of the Royal Court of Paris, an amiable man and easily frightened, was the brother of the mathematician, member of the Institute, to whom we owe the computation of waves of sound, and of the ex-Registrar Archivist of the Chamber of Peers. The first Assistant, M. Grandet, had been President of the Chamber at Paris.
The Cauchy cleft, however, lies N. of these, and terminates, as shown by Schmidt, among the mountains N.E. of Taruntius. There is a number of minute craters and mounds standing on the S. side of this cleft, and many others in the vicinity. JANSEN. Owing to its comparatively low border, this is not a very conspicuous object.
The President asked this strange question, which implied the acceptance of an order, "Have you a warrant?" The Commissary answered, "Yes." And he handed a paper to the President. The judges turned pale. The President unfolded the paper; M. Cauchy put his head over M. Hardouin's shoulder. The President read but,
While Cauchy and Père Gratry were walking in the gardens of the Luxumbourg, their conversation turned upon the happiness which those in heaven would have in knowing at last, without any obscurity or limitation, the truths which they had so long and so laboriously sought to investigate on earth.
To which Cauchy replied that it did not appear to him to be possible to know more about this than he himself already knew, neither could he conceive how the most perfect intelligence could arrive at a clearer comprehension of the mystery of reflection than that manifested in his own explanation of it, seeing that he had furnished a mechanistic theory of the phenomenon.
These researches have permitted a few controversial questions between theorists and experimenters to be solved: in particular, M. Voigt has verified the consequences of the calculations, taking care not to make, like Cauchy and Poisson, the hypothesis of central forces a mere function of distance, and has recognized a potential which depends on the relative orientation of the molecules.
The index of refraction varies with the duration of the period, or, if you will, with the length of wave in vacuo which is proportioned to this duration, since in vacuo the speed of propagation is entirely the same for all vibrations. Cauchy was the first to propose a theory on which other attempts have been modelled; for example, the very interesting and simple one of Briot.
In allusion to the study which Cauchy had made of the mechanistic theory of the reflection of light, Père Gratry threw out the suggestion that one on the greatest intellectual joys of the great geometrician in the future life would be to penetrate into the secret of light.
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