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Gothic Cathedrals Pg 18

Gothic Cathedrals Pg 18. Pg 23. Pg 38. The abacus was one of the earliest calculating devices, a 'step-up' from the more primitive counting board. This is a Roman example (note the Roman numerals), and earlier versions were developed in China. Pg 43. Counting board.

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Gothic Cathedrals Pg 18

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  1. Gothic Cathedrals Pg 18

  2. Pg 23

  3. Pg 38

  4. The abacus was one of the earliest calculating devices, a 'step-up' from the more primitive counting board. This is a Roman example (note the Roman numerals), and earlier versions were developed in China. Pg 43 Counting board

  5.  Imagine trying to do calculus with these!!! SO MUCH EASIER!!! 

  6. Pg 54

  7. St. Thomas Aquinas- The Scholastic (Pg 61)

  8. Pg 85

  9. The Gregorian calendar modified the Julian calendar's regular cycle of leap years, years exactly divisible by four, including all centurial years, as follows: Every year that is exactly divisible by four is a leap year, except for years that are exactly divisible by 100; the centurial years that are exactly divisible by 400 are still leap years. For example, the year 1900 is not a leap year; the year 2000 is a leap year. In addition, it changed in the mean length of the calendar year from 365.25 days (365 days 6 hours) to 365.2425 days (365 days 5 hours 49 minutes 12 seconds), a reduction of 10 minutes 48 seconds per year. Pg 88

  10. Portolani map Pg 96

  11. Pg 98

  12. Pg 103

  13. Pg 106 • The treaty with the signature of the sovereign of Spain and Portugal.

  14. Pg 135

  15. A Gregorian Chant on Youtube: http://www.youtube.com/watch?v=kK5AohCMX0U Pg 143 A neumeis the basic element of Western and Eastern systems of musical notation prior to the invention of five-line staff notation. The word is a Middle English corruption of the ultimately Greek word for breath.

  16. Pérotin and Leonin. Ma Fin est Mon Commencement on YouTube http://www.youtube.com/watch?v=WLEmVxqye4g

  17. (Pg 173) Go here (http://www.thehistoryblog.com/archives/13433) if you want a cool story on the “demon” circled in red in the painting…

  18. Pg 181

  19. Pg 186

  20. “During this era, artists were exploring mathematical perspective for the first time, and the checkerboard pattern on the floor was a kind of ostentatious display of prowess.” From Quick History: Checkerboard Floors Pg 199

  21. Pg 194  Ariel view of the floor in Flagellation

  22. Pg 213 The rhombicuboctahedron, has eight triangular and eighteen square faces. There are 24 identical vertices, with one triangle and three squares meeting at each. (Note that six of the squares only share vertices with the triangles while the other twelve share an edge.) The diagram on the right is if you laid it all out.

  23. Vesalius, pg. 233

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