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Instead of x and y, I have therefore their negation dx and dy in the formulæ or equations before me. I now calculate further with these formulæ. I treat dx and dy as real quantities, as quantities subject to certain exceptional laws, and at a certain point I negate the negation, that is, I integrate the differential formula.
Obviously when we began transmitting SSB telephony below 3.600 we were greeted with angry protestations from the CW operators there. And what was worse, the voices of Greek amateurs were not heard in the DX portion of the phone allocation from 3.750 to 3.800 MHz. "Unfortunately, there was another and more serious snag.
Therefore, by drawing a'd, cutting the normal at x, we determine Dx, the radius of curvature. Placing the crank in the opposite position OB, we find by a construction precisely similar to the above, the radius of curvature Ez at the other extremity of the axis of the curve.
XABCX is an ideal indicator card, taken from a cylinder, imagined to be 600 feet long, in which the piston, making one stroke per minute, has therefore a piston speed of 600 feet per minute. Divide this card into any convenient number of ordinates, distant dx feet from each other, writing upon each the absolute pressure measured upon it from the zero line XX.
I get instead of dx and dy the real quantities x and y again, and am thereby no further forward than at the beginning, but I have thereby solved the problem over which ordinary geometry and algebra would probably have gnashed their teeth in vain. It is not otherwise in history. All civilised peoples began with common property in land.
"You may notify the fleet co-ordinates H 11.62, RA 124-31-16, and Dx about 173.2." The report made and the assistants out of the room, the captain turned to the observer and saluted gravely. "We have always known, sir, that the Service had men; but I had no idea that any one man could possibly do, on the spur of the moment, what you have just done unless that man happened to be Lyman Cleveland."
They used the "useless" wavelengths around 100 metres. INTERNATIONAL DX had come to stay. As no licences were issued for many years there are no official records to be consulted. Early activity was mainly in and around Athens but there may have been one or two stations in other parts of the country which we never heard in the capital.
Of course I had dismantled everything 19 months previously and even taken down the antenna. So after this long period of QRT how did they know where to find me? Well, FOUR YEARS EARLIER I had won the first prize for Greece in the D.A.S.D. DX Contest for 1937 and the German society had sent me a nice certificate. You can draw your own conclusions.
I differentiate x and y, that is I consider x and y as being so infinitesimally small that they do not represent any real quantities, even the smallest, so that, of x and y nothing remains, except their reciprocal relations, a quantitative relation without any quantity; therefore dx/dy, the relation of the two differentials of x and y, is 0/0 but 0/0 is fixed as the expression of y/x.
It will at once be seen that Ez is less than Dx, and that since the normal at P is vertical and infinite, the evolute of DPE will consist of two branches xN, zM, to which the vertical normal PL is a common asymptote.
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