Summary

The present thesis "Art Geometry" is the result of 8 year research on teaching the sciences, mainly descriptive geometry, in Tartu Art School. Descriptive geometry is one part of mathematics and as mathematical logic is not inherent of most of art school students, it was vital to find an optimal solution for the problem of teaching this subject. A lot of books have been written on descriptive geometry, but for those who do not have a deeper interest in mathematics they are too scientific and difficult to understand. Therefore, to use the teaching time most effectively, a suitable method and style had to be worked out. The aims were to arouse interest in the subject and eliminate the fear and dislike that many students have experienced learning the sciences in senior forms.

First and foremost the present thesis is a study aid or simply an interesting professional reading and is presented as a hypertext in internet. On the other hand, the work is composed the way it could be printed out in paper-version.

The research work is divided into three parts: 1) Preliminary and intriguing work 2) Monge method and axonometrics 3) Study of perspective.

The subdivisions in the first part are:
1) "With compasses and rulers". This section deals with the principles of classical construction problems
2) "Famous curves". This section includes the drawings of many famous curves and comments on them.
3) "Sacred geometry". This section shows the connections between geometry, metaphysics and religion.
4) "New geometry". This section gives a survey of some interesting elements of non-Euclidean geometry.

The second part, "Gaspard Monge and descriptive geometry", deals with the life and work of Gaspard Monge, the founder of descriptive geometry.

The third part, "The theory of perspective", consists of four subdivisions:
1) the formation of the theory of perspective
2) the perspective or the bases of central projection
3) the methods and examples of perspective derivation
4) the curiosities of perspective.