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Updated: June 6, 2025
Now it is clear that IA is parallel to the incident ray RC, since IB is equal to CK, and IA equal to KO, and the angles A and O are right angles. It is seen then that, according to our hypothesis, the reciprocal relation of refraction holds good in this crystal as well as in ordinary transparent bodies; as is thus in fact found by observation.
He ponders and says: "I'll tell you who can give you all the information, Colonel Joe. Hardin was lawyer for this lady. He paid for their passages with a check. We note these payments for our cash references. Here is a pencil note: 'CK Hardin. I remember Hardin coming himself." "Oh, that's all right!" says the Argonaut.
The real eccentricity is now reduced in the proportion of OK to OH, while the lengths of the cut-off valves, and what is equally important, their travel over the back of the main valve, are reduced in the proportion of CK to CH, in this instance nearly one-half; a gain quite sufficient to warrant the adoption of the expedient.
For the rest, the position of this ellipse, with respect to the plane through the ray RC and through CK, is also given; from which it will be easy to find the position of CI, the refraction corresponding to the ray RC.
Ck!" cried the clerk, with a derisive laugh. "Why, it's my belief that you know more law already than Mr Sam does, and what I say to you is Look out! the guv'nor!" The warning came too late, for Mr James Brandon entered the outer office suddenly, and stopped short, to look sharply from one to the other a keen-eyed, well-dressed man of five-and-forty; and as his brows contracted he said sharply
For the refraction of the ray RC is nothing else than the progression of the portion C of the wave CO, continued in the crystal. Now as to finding the point of contact I, it is known that one must find CD a third proportional to the lines CK, CG, and draw DI parallel to CM, previously determined, which is the conjugate diameter to CG; for then, by drawing KI it touches the Ellipse at I.
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