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American Literature Mid-Year Exam Part I – Math, Education, Society and The Age of Reason
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Let’s begin…
The Enlightenment ,[object Object],[object Object]
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a 2  +  b 2  =  c 2 Press SPACEBAR or Click MOUSE
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(the next few slides show more detail) The “cosmic monochord” is supposed to show how far the planets, sun, stars, and heaven (including the angels at “gg”) are from Earth (“Terra” at the bottom).
 
 
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Plato considered the cube to be connected to the Earth, so Kepler speculated that the distances between us and the other planets might be based on the relative distances between all the Platonic solids if they were  nested inside each other .  He abandoned this idea when it turned out that most of it didn’t match his measurements. (It’s interesting to note that  some  of it  did  fit.)
[object Object],NOTE: Kepler had some difficulty convincing others of his discovery because “heavenly bodies” like planets were supposed to travel in  perfect circles .  Since an ellipse is not perfect, it didn’t fit with the classical view of the cosmos…but that’s for another time.
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[object Object],[object Object]
[object Object],(note: these circles were added by someone who wanted to show how “balanced” Jefferson’s designs were.)
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[object Object]
[object Object]
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[object Object]
These are models of Gehry’s proposed museum in NYC which was cancelled and thoroughly criticized in the article you just read by Robert W. Tracinski .  Note the Twin Towers in the background. The model on the right is, of course, superimposed over a photo from before 9-11.
Some critics think Gehry’s ideas evoke this….
Others see it as M.C. Escher’s ideas come to life…
 
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Modern technology has moved our ability to create geometric forms well beyond the Platonic solids and other classics of geometry….
[object Object],[object Object],[object Object],[object Object]
This…?  The classic forms of “School of Athens” by Raphael
Or this…? The whimsy of Legos mixed with the math of Escher
[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Good  Luck!

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2008 Midyear Reason

  • 1. American Literature Mid-Year Exam Part I – Math, Education, Society and The Age of Reason
  • 2.
  • 3.
  • 5.
  • 6.
  • 7. a 2 + b 2 = c 2 Press SPACEBAR or Click MOUSE
  • 8.
  • 9. (the next few slides show more detail) The “cosmic monochord” is supposed to show how far the planets, sun, stars, and heaven (including the angels at “gg”) are from Earth (“Terra” at the bottom).
  • 10.  
  • 11.  
  • 12.
  • 13. Plato considered the cube to be connected to the Earth, so Kepler speculated that the distances between us and the other planets might be based on the relative distances between all the Platonic solids if they were nested inside each other . He abandoned this idea when it turned out that most of it didn’t match his measurements. (It’s interesting to note that some of it did fit.)
  • 14.
  • 15.
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.  
  • 23.
  • 24.
  • 25.
  • 26.
  • 27.
  • 28.
  • 29.
  • 30.
  • 31.
  • 32.
  • 33. These are models of Gehry’s proposed museum in NYC which was cancelled and thoroughly criticized in the article you just read by Robert W. Tracinski . Note the Twin Towers in the background. The model on the right is, of course, superimposed over a photo from before 9-11.
  • 34. Some critics think Gehry’s ideas evoke this….
  • 35. Others see it as M.C. Escher’s ideas come to life…
  • 36.  
  • 37.
  • 38. Modern technology has moved our ability to create geometric forms well beyond the Platonic solids and other classics of geometry….
  • 39.
  • 40. This…? The classic forms of “School of Athens” by Raphael
  • 41. Or this…? The whimsy of Legos mixed with the math of Escher
  • 42.
  • 43.