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Updated: June 29, 2025
Barfoot, said the sister at length, 'I have known your name for a long time, but I little thought to meet you on such a day as this, and to owe you such endless thanks. So long as I can have music I forget that I can't see. 'Barfoot is the finest fellow on earth, exclaimed Micklethwaite. 'At least, he would be if he understood Trilinear Co-ordinates. 'Are you strong in mathematics, Mrs.
For if K be a system of co-ordinates relatively to which the Lorentzian ether is at rest, the Maxwell-Lorentz equations are valid primarily with reference to K. But by the special theory of relativity the same equations without any change of meaning also hold in relation to any new system of co-ordinates K' which is moving in uniform translation relatively to K. Now comes the anxious question: Why must I in the theory distinguish the K system above all K' systems, which are physically equivalent to it in all respects, by assuming that the ether is at rest relatively to the K system?
He had time to kill, so he rechecked his course and speed relative to the planet. He and Murgatroyd had dinner. Then he waited until the ship was near enough to report in. "Med Ship Esclipas Twenty calling ground," he said when the time came. He taped his own voice as he made the call. "Requesting co-ordinates for landing. Our mass is fifty tons. Repeat, five-oh tons.
It proved to be a battery mess, made in a recess of a trench, with a stout tarpaulin drawn tight over the entrance. I hailed the occupants through the tarpaulin, and on their invitation scrambled a passage inside. A young captain and two subalterns listened to what I had to say, and gave me map co-ordinates of the spot on which we now were.
Then, when objects and events have been posited as self-existent, and when a "clock" and a system of co-ordinates have been established for measuring them, a single mathematical space and time may be deployed about them, conceived to contain all things, and to supply them with their respective places and dates. This gives us the cosmos of classical physics.
As usual a signal was sent to the United States base at McMurdo with advice that the aircraft was to fly to the Antarctic on 28th November and the flight plan for the journey. And in the list of waypoints appears the word "McMurdo" in lieu of the geographical co-ordinates which had appeared in the equivalent signal for the flight three weeks earlier.
A complete and rigorous solution of the problem is out of the question that is, it is impossible by any known method to form an algebraic expression for the co-ordinates of a planet which shall be absolutely exact in a mathematical sense.
So that finally when a print-out of the plan is obtained it will disclose not merely the geographical co-ordinates for each waypoint but the true track direction and the distance in nautical miles from one to the next.
In a word, it would rather seem as if Science, unconscious of its pregnant possibilities, has not only formulated a theory which co-ordinates and unifies the entire fabric of physical knowledge, but has also at length furnished Philosophy with the key to that problem the solution of which has, in the words of Schopenhauer, been the main endeavour of philosophers for more than two centuries, namely, to separate by a correctly drawn line of cleavage the Ideal that which belongs to our knowledge as such from the Real, that which exists independently of us; and thus to determine the relation of each to the other.
Thus the precise track and distance is used for purposes of fuel calculations and has importance as a check in navigation. All this information is disclosed on page 96 of the Royal Commission Report where the print-out is shown for the flight plan with the co-ordinates for McMurdo showing the longitude as 164° 48' east.
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