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atyy said:Clausius's deduction is one of the most amazing to me, especially because it follows from the "everyday language" of the Klevin and Clausius statements.
I had never known the fascinating history of Carnot's contribution. It is a very beautiful title indeed!
Possible revision of ST timeline, including Carnot and Clausius. BTW the timeline seems to divide fairly well into millennia:
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...
Second Millennium ST:
1010 ST sack of Rome by the Western Goths led by their king Alaric.
1415 ST Muhummad al-Khwarizmi (±35); Persian mathematician and astronomer, wrote a standard algebra text On Calculation by Completion and Balancing (al-Jabr wa'l Muqubalah = completion and balancing) and a book on "Indian" positional notation (decimal numbers.)
1690 ST Omar Khayyam (±42); Persian poet, mathematician, astronomer.
1810 ST Leonardo Fibonacci (±40) http://en.wikipedia.org/wiki/Fibonacci helped introduce decimal numbering to Europe, learned algebra from Arabic sources, an associate of the in-some-ways enlightened medieval king of Sicily, Frederick Hohenstaufen (1822±28) whom Nietzsche called the "first European" http://en.wikipedia.org/wiki/Frederick_II,_Holy_Roman_Emperor
Third Millennium:
2092 ST Columbus' voyage
2200 ST Kepler (±30) Stated his first two laws in 2205: (i) Orbits are elliptical with sun at one focus (ii) Planet sweeps out area in its ellipse at a steady rate. Third (square-cube) law in 2218: If you square the number of years that a planet takes to orbit what you get is the cube of its average distance from the sun compared with that of the earth. If a planet takes 8 years to orbit then it must be 4 times farther than we are from the sun because 82=43.
2203 ST Galileo (±39); in 2210 observed Jovian moons with telescope, in 2232 published "Dialogue Concerning the Two Chief World Systems."
2275 ST roughly accurate measurement of the speed of light by Olaus Roemer at the Paris Observatory.
2388 ST Pierre-Simon Laplace (±39). http://en.wikipedia.org/wiki/Pierre-Simon_Laplace
2391 ST Mozart composed the Magic Flute and Requiem.
2400 ST Laplace's "Celestial Mechanics" in several volumes appeared about this time.
2413 ST Jane Austen wrote Pride and Prejudice.
2424 ST publication of Sadi Carnot's book Reflections on the Motive Power of Fire.
2429 ST Michael Faraday (±38); first demonstrated an electromagnet motor in 2421. Much more. The idea of a field. Intuiting molecular structure. One of three people (according to report) whose portraits Albert Einstein had on the wall of his study. http://en.wikipedia.org/wiki/Michael_Faraday
2455 ST James Clerk Maxwell (±24) in 2464 published "A dynamical theory of the electromagnetic field." Another of Einstein's three portraits.
2455 ST Rudolf Clausius (±33) published On the mechanical theory of heat in 2450. Concept of entropy defined in 2465.
2505 ST Einstein's Wunderjahr.
2515 ST publication of the geometric theory of gravity.
2546 ST semiconductor solar cell patented by Russell Ohl (developed for practical application 2554 at Bell Labs) http://en.wikipedia.org/wiki/Photovoltaic_cell
2590 ST Hubble Space Telescope placed in orbit.
2611 ST present :)
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