1
Who systematized ancient Greek and Near Eastern mathematics and geometry?
Euclid of Alexandria
What is the formula to find the area of a rectangle? *Not in the Text*
A = Length x Width
Where did Euclid run his own school?
Alexandria, Egypt
Where and exactly when was Euclid born?
We don't know! Almost nothing is known about Euclid's life.
What percentage of Euclid's work is lost?
About half
Who was the author of The Wealth of Nations (1776 CE)?
Adam Smith
During what time period did Euclid live?
300 BCE
How do we know about Euclid's lost books if they aren't around anymore?
Other ancient writers referred to those books.
What was the value of pi that the ancient Egyptians calculated?
3.16
What is the approximate number of pi?
3.14
What is the most widely used mathematics and geometry textbook in history, written by Euclid?
The Elements
How many editions have been published, making it one of the most popular books after the Bible
Over 1000 editions
How many tablets from the ancient Nineveh have been deciphered?
960
One of Euclid's lost work is a book on "porisms." What are porisms?
We don't know!
Who was the Austrian economist that adopted Euclid's axiomatic method to write his book Human Action?
Ludwig von Mises
How many chapters are included in The Elements?
13
Name 2 of Euclid's predecessors.
Thales, Hippocrates, Theaetetus, and Eudoxus
Why did Euclid base his axioms and postulates of geometry on ideas that are obvious?
Because they are obvious, no one can reasonably doubt them
What two things on a circle is pi a ratio between? *Not in text*
The circumference and diameter
Thales became a celebrity in Egypt because he could see the mathematical principles behind rules for specific problems, then apply the principles to other problems. Using this method, what did he figure out the height of?
The Egyptian Pyramids
What does non-Euclidian geometries describe?
Space over astronomical distances, at near-light speeds, or warped by gravity
What are the 3 main sections of Euclid's book The Elements?
1. Plane geometry
2. Arithmetic and number theory.
3. Solid geometry
The best drawing of what you think Euclid looked like will get 500 points.
+500
They made a square whose sides were eight-ninths the length of the circle's diameter
What are the 4 main contributions made from Euclid's book The Elements?
1. He collected important mathematical and geometric knowledge in one book.
2. He gave definitions, postulates, and axioms.
3. He presented geometry as an axiomatic system.
4. He gave some of his own original discoveries.