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| Where was the Pythagorean Theorem demonstrated earlier than by Pythagoras? |
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| Who wrote about geometric findings in the Sulbas Sutras? |
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| What building has the height and width equal to the Golden Ratio? |
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| All 10 floors of the United Nations Building |
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| What was the first provided written definition of the Golden Ratio? |
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| _____ was the first person to prove the volume of a cone is ____ the volume of a related ______> |
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| Name an important result of the Rhind Papyrus |
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| Formulas for Volume and Area |
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| What is the primary content of the Plimpton 322? |
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| The ______ couldnt have been built without _____. |
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| Great Wall of China / Geometry |
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| What did the Chinese know the Pythagorean Theorem as? |
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| What was the first architectural structure based on? |
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| 1/2 of the octehedron (the pyramids) |
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| How many 4 dimensional polytopes are there? |
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| He fought and died in the battle of Athens and Carthage (died from dysentery- inflammation of the guts) |
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| _____ had a son with the same name who he sent to ____...... |
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| Theaetetus / Plato to study after he died |
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| It was a copy of previous geometric findings |
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| When the ____ were in power there was....... |
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| Romans / very little geometry activity in Europe |
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| Why are there 60 seconds in a minute and 60 minutes in an hour? |
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Definition
| Ancient Egyptians used base-60 instead of base-10 |
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| Why does the circle have 360 degrees? |
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Definition
| Mesopotamians used a calendar that had 360 days; the time it takes for the Earth to go around the sun |
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| List the 7 virtues of Liberal Education? |
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Definition
Mastery of One's Language
Mathematics and Science
History
Art Appreciation
Appreciation of other cultures
Courage to seek answers to life's big questions
Know ones intellectual boundaries |
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| Name 2 ways colleges are re-inventing Liberal Education. |
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Definition
Social Responsibility and Civic Engagement
Intefrated and Culminating Learning
Justifying and intellectual Judgement |
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| List the 7 original Liberal Arts from the Middle Ages |
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| Grammer, Rhetoric, Logic, Arithmetic, Geometry, Music, Astronomy |
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| Who discovered conic sections? |
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| Who tutored Alexander the Great in Geometry? |
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| What was the earliest printed textbook? |
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| Nine Chapters of Mathematical Art |
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| How many problems and solutions are in the Nine Chapters of Mathematical Art? |
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| How many decimal places did ______ calculate without error? |
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| Who proved Pi to be an irrational number? |
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| A curve made by intersecting a cone with a plane |
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| Who discovered the importance of the focus of a conic? |
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| How many girig shapes are there? |
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| Who wrote the first systematically organized geometric textbooks? |
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| Who thought that the Milky Way was an optical illusion? |
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| What are found on Islamic buildings as ornate decorations? |
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