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2. Thales of Miletus was born in 624 B.C. and died in 546 B.C. .
He is considered as one of the first philosopher of western
civilization and creator of researches of nature as science. He
is one of the „Seven Sages of Greece” in antiguity and also
representative the lonian philosophy of nature. Generally, he
was associated as the first philosopher, because he appeled
more to the nature and intelligence than to the mythology and
tradition.

3. He was the first person, who announced
general results concerned mathematics
objects. First of all he was interested in
geometric figures such as wheels and
triangles. He proved that to every triangle we
can attribute a circle, which goes trough a
three vertices of triangle and he proposed a
general rule of construction.

4. According to ancient, to Thales we can attribute those theories:
1. Angle which is entered in a circle
and based on his diameter is the
right angle.
2. Diameter shares a circle on two
halves.
3. When straight lines across, two point
angles are equal.
4. Two angles near baseline in isosceles
triangle are equal.
5. If in two triangles, one side and
adjacent to this triangle angles, are equal,
then this triangles are congruent.

5. In the Thales theory in geometry elementary says that: If angle's sides cut
two parallels, that length segments determined by that straight lines on
one angle's side are proportional to the length of appropriate segments on
the second side of triangle.

6. Theory of Tales is considered as one of the most crucial theories in
euclidean geometry. The oldest extant proof of Thales theory is
published in VI. Book of Euclid's Elements.

7. It is small likely, that he left some papers. Our knowledge about Thales comes
from next record, messages about his life is not so many, this is generally
traditional records, which are not proved. Aristotle passed on most of Thales
philosophical thoughts.

8. •What is difficult?  To know yourself.
•What is easy?  Give advice to your friend.
•What is the most pleasant?  To achieve something the most you
wished.
•What is divine?  Something that hasn’t beginning and hasn’t end.
•Which view is the most ususual?  Tyrant, who reached an elderly.
•How can we carry down disaster?  To see enemies in bigger disaster.
•How can we live better and more justly? Do not do other person
something that we reprimand.
•Who is happy?  Someone who has healthy body, rich soul and
nature susceptible to education.

9. Antiguity – starożytność isosceles trangle – trójkąt równoramienny
Ionian – joński point angles – kąty wierzchołkowe
Eclipse – zaćmienie entered – wpisany
appeal – odwoływać się circle – okrąg
Attitude – nastawienie based – oparty
Acquaint – zapoznać się right angle – kąt prosty
Announce – ogłosić adjacent – przyległy
Concern – dotyczyć congruent – przystający
Attribute – przypisać parallels – równoległe
Vertices - wierzchołki segment – odcinek
Diameter – średnica determined – wyznaczony
Angles – kąty straight – prosta
Baseline – podstawa appropriate – odpowiedni
Extant – zachowany divine – boski
Proof – dowód

10. Authors:
Julia Krystosiak
Dorota Szagżdowicz
Andrzej Mrozik
Sources:
http://pl.wikipedia.org/wiki/Tales_z_Miletu
http://www.math.edu.pl/tales-z-miletu