Mathematics of that time: All geometrical problems were classified according to the method of their solution: Plane problems, solid problems, linear problem
Plane problems: one has to use only straight lines
Solid problems: to be solved with the use of c

Mathematics of that time: All geometrical problems were classified according to the method of their solution: Plane problems, solid problems, linear problem
Plane problems: one has to use only straight lines
Solid problems: to be solved with the use of c

Platos philosophy: world of ideas (ideal forms) -> world of physical objects (material reflections/ projections of the ideal forms)
World of Being <->World of becomings
The Realm of pure forms (Being) - The world of Physical Objects (Becoming)
Human shoul

Review: Pythagoras
Society of Pythagoras: Vegetarians, no wine, held all the goods in common, believe in the transmigration of soul. -> Croton became the dominant city in this region.
Teaching of this society: Elevation of the soul to union with the divi

The crisis of the Pythagorean program: Incommensurables (a=3d, b=5d, a:b=3:5)
A. Definition: two magnitudes a and b are called commensurable if there exist such natural n and m that
a:b=n:m, otherwise they are incommensurable.
B. Statement: the side of a

Music Theory
An interval is a combination of two notes (tones)
The size of an interval between two pitches may be measured by the ration of their frequencies.
Use the tool: Monocord (the sound depends on the length of the cord)
2:1: octave
3:2: perfect f