Pythagoras
His theorem
Eratosthenes
Measuring the world
Etc
100
Who did Pythagoras allow to be in his secret society of mathematicians (this was unheard of for the time)?
Women
100
What is A squared plus B squared equals C squared called?
The Pythagorean Theorem
100
Where was E born (country)?
Greece
100
How did E pictured the earth when he started to try to figure out how to measure the distance around it?
A circle/ or what is a grapefruit
100
What did scholars read on (instead of books) at the library of Alexandria when Eratosthenes was there?
scrolls
200
What did P worship?
Beans!
200
What did P do to get his very first student?
He paid him to learn from him!
200
Where did Eratosthenes go to study when he had learned all that he could from his home city-state?
Athens
200
E used a well/ He used the sun/He used a pole to measure what?
.... to measure the angles of the shadow the sun cast in two places.
200
Why did Pythagoras allow his house to burn down?
Because he would not take the short cut through the bean fields to get to his house in time to put the fire out!
300
3, 4, 5; 6, 8, 10; 5, 12, 13; 7, 24, 25---what are these called?
Pythagorean triplets
300
What is the name of the side across from the right angle/
The hypotenuse?
300
What was E's job in Alexandria (along with his tutoring work)?
The chief librarian
300
What was the unit of measure that E used to measure distance? (instead of miles or kilometers, for instance....)
stades
300
How would you describe Pythagoras' philosophy on eating?
He was a vegetarian.
400
Who were the acoustici and where did they sit?
P's students who had to sit behind the screen and not speak--only listen.
400
What are the two sides that make the right angle called?
The legs?
400
The guys who were trained to walk a certain way to help measure accurately were called....
....the bematists
400
What was the name of the other city that E used to complete his experiment (other than Alexandria)?
Syene
400
Who got to sit IN FRONT of the screen in Pythagoras' school.
The mathematici?
500
Numbers like the square root of 2...what are these called and why were they so difficult for P and his band of mathematical brothers to accept?
Irrational numbers--because they did not fit with the ideas of P that stated that all numbers could be expressed by whole numbers.
500
Was P the first person to "discover" the relationship between the legs and the side opposite the right angle in a right triangle?
NO!
500
What was the center of all learning (where Eratosthenes went to tutor the ruler of Egypt when he was 30 years old)? (the name of the city)
Alexandria
500
What was the name of the guys who were trained to walk very carefully so that they could measure very accurately?
The bematists
500
Why did E stop eating when he was very old?
He became blind and didn't want to live if he couldn't see?
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