M100 - Midterm (TEP42)

The Peloponnesian War was fought between:

• China and Japan
• England and France
• Athens and Sparta
• Rome and Carthage

Anaxagoras was primarily known as a:

• philosopher
• painter
• mathematician
• astronomer

Which book did Anaxagoras write?

• The Republic
• The Iliad
• On Nature
• The Odyssey

The three classical problems in Greek Mathematics include all of the following except:

• Squaring the circle

• Doubling the cube

• Trisecting a line

• Trisecting an angle

It was eventually proved that the three classical problems were:

• Easily solvable

• Unsolvable

• Solvable with advanced technology

• Solvable using only compass and straightedge

Who was Hippocrates of Chios?

• A prominent Greek playwright.
• An ancient Greek mathematician and astronomer.
• A famous Greek philosopher.
• A renowned Greek sculptor.

What did Hippocrates of Chios contribute to mathematics?

• inventing calculus
• developing the concept of infinity
• proving the Pythagorean theorem
• discovering the quadrature of lunes

What is the "quadrature of the lune"?

• A mathematical curve discovered by Hippias

• A geometric problem involving crescent-shaped regions

• Determining the volume of a lune.
• Measuring the diameter of a lune.

Who were the Sophists?

• The Sophists were ancient Greek teachers.
• The Sophists were Chinese poets.
• The Sophists were Egyptian mathematicians.
• The Sophists were Roman philosophers.

What is a quadratrix in geometry?

• A curve used to bisect an angle.
• A curve used to divide a line segment into three equal parts.
• A curve used to construct a regular polygon with a given number of sides.
• A curve used to trisect an angle.