40 Questions
What was the primary method used by Archimedes to compute the area of various shapes?
Exhaustion method
Which of the following was NOT one of Archimedes' areas of expertise?
Biology
What is the approximate value of π that Archimedes showed?
π ∈ [3 10/71, 3 10/70]
What was the name of the institution where Archimedes is believed to have studied or visited?
The Museum
What is the name of the concept that later developed from Archimedes' method of exhaustion?
Modern integration
What is the name of the mathematician who is considered one of the greatest minds of all history?
Archimedes
What is the shape for which Archimedes calculated the surface area and volume?
Sphere
What is the name of the ancient Greek philosopher who is NOT associated with the development of mathematics?
Aristotle
What is the term used to describe the method of computing the area of a shape by inscribing and circumscribing polygons?
Exhaustion method
What is the name of the book that contains the content about Archimedes' life and contributions?
History of Mathematics: Early Ages
Where was Jamshid al-Kashi born?
Kashan, in central Iran
What was the name of the Zij produced by Al-Kashi?
Khaqani Zij
What was the basis of Al-Kashi's Zij, the Khaqani Zij?
Nasir al-Din al-Tusi’s earlier Zij-i Ilkhani
What was the resolution of sinus values calculated by Al-Kashi in his Zij?
Each degree is divided into 60 minutes
How many entries were there in Al-Kashi's sinus table in his Zij?
5400
What was the precision of Al-Kashi's calculation of sinus values in his Zij?
Up to 8th decimal
How did Al-Kashi calculate the value of π?
By inserting a polygon with 805,306,368 edges inside a circle
How long did Al-Kashi's record of calculating π stand?
200 years
Who was the founder of an institute in Samarkand that became a prominent university?
Ulugh Beg
How many scientists were teaching and doing research at Ulugh Beg's institute in Samarkand?
Around 60
Where did Ulugh Beg found an institute that became a prominent university?
Samarkand
What was the name of the Zij produced by Al-Kashi?
Khaqani Zij
What was the level of precision achieved by Al-Kashi in calculating sinus values in his Zij?
Up to 8th decimal
What was the purpose of Ulugh Beg's institute in Samarkand?
To gather great mathematicians and scientists of the Middle East
How did Al-Kashi calculate the value of π?
By inserting a polygon with 805,306,368 edges inside a circle
How long did Al-Kashi's record of calculating π stand?
200 years
What was the resolution of the sinus values calculated by Al-Kashi?
Each degree divided into 60 minutes
Who founded an institute in Samarkand that became a prominent university?
Ulugh Beg
What was the name of the city where Al-Kashi was born?
Kashan, in central Iran
How many entries were there in Al-Kashi's sinus table in his Zij?
5400 entries
What was the main purpose of Ulugh Beg's institute in Samarkand?
To gather many great mathematicians and scientists
What was the basis of Al-Kashi's Zij-i Ilkhani?
Nasir al-Din al-Tusi's earlier Zij
What was the name of the city where Al-Kashi worked?
Samarkand
What was the level of precision achieved by Al-Kashi in calculating π?
Up to 16th decimal
What was the resolution of sinus values calculated by Al-Kashi?
1 minute
What was the reason for the importance of Ulugh Beg's institute in Samarkand?
It was a center of astronomy and mathematics
How long did Al-Kashi's record of calculating π stand?
200 years
What was the name of the Zij produced by Al-Kashi?
Khaqani Zij
How many edges did Al-Kashi use to calculate π?
805,306,368
What was the significance of Ulugh Beg's institute in Samarkand?
It was a center of learning for students from all over the Middle East and beyond
Explore the early ages of mathematics, specifically in Ancient Greece, from the invasion of Athens to the contributions of Thales. Learn about the significant events and figures that shaped the development of mathematics in this era.
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