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Early Geometry Final
Early Geometry FInal Notecards
34
Mathematics
Undergraduate 1
12/14/2011

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Cards

Term
Where was the Pythagorean Theorem demonstrated earlier than by Pythagoras?
Definition
In the Sulbasutras
Term
Who wrote about geometric findings in the Sulbas Sutras?
Definition
Budhayana
Term
What building has the height and width equal to the Golden Ratio?
Definition
All 10 floors of the United Nations Building
Term
What was the first provided written definition of the Golden Ratio?
Definition
Euclid's Elements
Term
_____ was the first person to prove the volume of a cone is ____ the volume of a related ______>
Definition
Eudoxus/ 1/3 / cyldinder
Term
Name an important result of the Rhind Papyrus
Definition
Formulas for Volume and Area
Term
What is the primary content of the Plimpton 322?
Definition
Pythagorean Triples
Term
The ______ couldnt have been built without _____.
Definition
Great Wall of China / Geometry
Term
What did the Chinese know the Pythagorean Theorem as?
Definition
The Gougu Theorem
Term
What was the first architectural structure based on?
Definition
1/2 of the octehedron (the pyramids)
Term
How many 4 dimensional polytopes are there?
Definition
6 figures
Term
How did Theaetetus die?
Definition
He fought and died in the battle of Athens and Carthage (died from dysentery- inflammation of the guts)
Term
_____ had a son with the same name who he sent to ____......
Definition
Theaetetus / Plato to study after he died
Term
What was Roman Geometry?
Definition
It was a copy of previous geometric findings
Term
When the ____ were in power there was.......
Definition
Romans / very little geometry activity in Europe
Term
Why are there 60 seconds in a minute and 60 minutes in an hour?
Definition
Ancient Egyptians used base-60 instead of base-10
Term
Why does the circle have 360 degrees?
Definition
Mesopotamians used a calendar that had 360 days; the time it takes for the Earth to go around the sun
Term
List the 7 virtues of Liberal Education?
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

Term
Name 2 ways colleges are re-inventing Liberal Education.
Definition

Social Responsibility and Civic Engagement

Intefrated and Culminating Learning

Justifying and intellectual Judgement

Term
List the 7 original Liberal Arts from the Middle Ages
Definition
Grammer, Rhetoric, Logic, Arithmetic, Geometry, Music, Astronomy
Term
Who discovered conic sections?
Definition
Menaechmus
Term
Who tutored Alexander the Great in Geometry?
Definition
Menaechmus
Term
What was the earliest printed textbook?
Definition
Nine Chapters of Mathematical Art
Term
How many problems and solutions are in the Nine Chapters of Mathematical Art?
Definition
246
Term
How many decimal places did ______ calculate without error?
Definition
Archimedes, 39 places
Term
Who proved Pi to be an irrational number?
Definition
Archimedes
Term
What is a conic section?
Definition
A curve made by intersecting a cone with a plane
Term
Who discovered the importance of the focus of a conic?
Definition
Pappas
Term
How many girig shapes are there?
Definition
5 basics
Term
Who wrote the first systematically organized geometric textbooks?
Definition
Hippocrates of Chios
Term
Who thought that the Milky Way was an optical illusion?
Definition
Hippocrates of Chios
Term
What are found on Islamic buildings as ornate decorations?
Definition
Girih shapes
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