The Great Pyramids in Egypt are proofs that early people used geometry. |
According to my researches, the Ancient Egyptians discovered geometrical properties quite early. Every year, the Nile River overflowed its banks and flooded the countryside. The Egyptians learned to use angles to set up land boundaries that had been washed away. But the Egyptians gained their knowledge of Geometry through trial and errors.
Other people such as Sumerians, and later, the Babylonians, also developed some geometry and mathematics. The Ancient Greeks carried those ideas further. They discovered how to work out the properties of shapes and figures by local reasoning.
I also found out in my researches that early geometry are traced to early peoples, who discovered triangles in the ancient Indus Valley, and ancient from around 3000 BC.
Early geometry was a collection of discovered principles concerning lengths, angles, areas, and volumes, which were developed to meet some practical need in surveying, construction, astronomy, and various crafts.
The geometry of Babylon and Egypt was mostly experimentally derived rules used by the engineers of those civilizations. They knew how to compute areas, and even knew the "Pythagorean Theorem" 1000 years before the Greeks. But there is no evidence that they logically deduced geometric facts from basic principles. Nevertheless, they established the framework that inspired Greek geometry.
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