Exam 2

Which of the following topics about circles did Euclid not address in any of his Book III Propositions?

• proved standard results about chords, tangents, and angles in circles

• how to find the center of a given circle

• established that an angle inscribed in a semicircle is right

Which of the following regular polygons did Euclid not construct in Book IV of the Elements?

• Equilateral triangle

• regular heptagon

• square

• regular pentagon

The five "regular solids" contain faces of all the following congruent, regular polygons except:

• squares

• equilateral triangles

• regular hexagons

• regular pentagons

Which book of the Elements is the best known and most studied?

• Book 7

• Book 1

• Book 13

• Book 5

Which of the following is considered to be the building blocks of whole numbers?

• Fractions

• Compositie numbers

• prime numbers

• perfect numbers

Which book of the Elements is the longest and considered by many to be the most mathematically sophisticated of the thirteen?

• Book 2

• Book 10

• Book 13

• Book 4

Which country did not use improper fractions?

• Egypt

• Greece

• China

• Russia

Which of the following systems were passed on to the people of Greece?

• China and Russia

• Babylonian and Egyptian

• Germany and France

• Turkey and Sweden

Who paved the way for general acceptance of decimal arithmetic?

• Archimedes and Euclid

• Gauss and Cauchy

• Johannes Kepler and John Napier

• Al-Khwarizm and Kurt Godel

How many propositions about circles were in the third book?

• 37

• 43

• 48

• 40