What is a brief history of geometry

More than 4,000 years ago, the Egyptians applied geometry (literally: 'Earth measurement') in practice. As a result of the annual flooding of the Nile, land and arable land had to be measured again and again.
However, geometry only became a science in the modern sense through the work of Greek thinkers: Thales von Miletzu must be mentioned here in particular.
The ancient Greek mathematicians, of course, did not have geometry with that Set square operated. They only allowed compasses and rulers without a unit of measure as aids in constructing figures.
The reason for the preference for compasses and rulers may have been that circles and straight lines were viewed as the geometrical shapes with the greatest perfection and harmony.Under the influence of Plato's philosophy, geometry became an elegant and aesthetically perfect mental exercise. The use of a ruler with graduations, triangles or other aids would be suspiciously close to manual activity and therefore not debatable.
The Greeks had also recognized that the length of a line and the size of an angle can never be drawn precisely and also cannot be measured precisely.
Therefore, they only allowed those processes that did not need to be measured: just constructions with "compasses and ruler". In this way they needed z. B. not knowing the size of the angle to be halved when halving an angle.
The classic style,To practice geometry has been handed down to us from Euclid (approx. 300 BC). Eulkid was a pupil of Plato at his academy in Athens. Later Euclid worked in the Museion in Alexandria. He has in 13 books - elementscalled - the entire mathematical knowledge known to him of his time written down. The elementsof Euclid greatly influenced the development of mathematics. In later centuries they were considered to be one of the most important works of antiquity. That's why the elementsdes Euclid also printed as a book very quickly after the discovery of the printing press (1455) by Johannes Gutenberg in Mainz.
Euclid's mathematics was spread throughout the world through the art of printing. Many of the methods that we use today in mathematics classes around the world were already known to ancient Greek scholars.