Next |

*Dirk Schlimm*

**Greek mathematicians and philosophers**(4 points)Find the dates of birth and death of the following mathematicians: Thales, Pythagoras, Plato, Eudoxos, Aristotle, Euclid, Hypatia, Archimedes.

Draw a timeline of these mathematicians.

Write a short entry for each of these people, containing their dates and stating their major achievements.

An excellent place to find the relevant information is the website of the

*MacTutor History of Mathematics Archive*(`http://www-groups.dcs.st-and.ac.uk/~history/index.html`). There is also a link to it from the course website.**How much mathematics do you need?**(3 points)Think about how much mathematics you encounter in your daily life and write a summary.

**Thales' theorem**(3 points)Write down an argument for

*Thales' theorem*, which says: if a triangle is inscribed in a semi-circle in such a way that the base line of the semi-circle is a side of the triangle, then the triangle has a right angle.Try to be as precise and clear as possible, and carefully state all assumptions that you are making in your argument.