Posted on Mar 16, 2021 * 307*

The science of geometry, invented thousands of years ago, has continued to evolve and change since then, but its basics remain the same. It has become firmly embedded in human civilization, being the basis for a wide variety of fields. Look anywhere, and you’ll see that its authors relied on geometric calculations to create this or that object. Anything - the road outside your window, your apartment, your cell phone or the book in your closet. Without geometry, there would be no human civilization as we know it.

**Facts about geometry**

- It is well known that geometric knowledge was used as far back as Ancient Egypt over 5,000 years ago. The Egyptians used them not only in the construction of the pyramids but also in marking plots for crops on the banks of the Nile.
- Now geometry is one of the fundamental branches of mathematics. In ancient Greece, however, it was actually mathematics no part of it.
- Perhaps the ancient scholar Euclid did the most for geometry. The principles he discovered still underlie this science.

- Above the door of the school where the ancient Greek scientist and philosopher Plato taught his students, there was an inscription “Let not he who does not know geometry enter here”.
- The trapezium is one of the geometric shapes. But the word comes from the ancient Greek “trapezium,” which means “table.” And the word “cones,” from which our “cone” came, meant “pine cone.”
- Among all geometric shapes with the same perimeter, a circle has the largest area and, conversely, among all shapes with the same area, a circle has the smallest perimeter.
- Using geometric rules and the assumption that our earth is spherical, the Ancient Greek scientist Eratosthenes measured the length of its circumference. As the measurements of modern scientists showed, he practically did not make a mistake in his calculations, the error was only a fraction of a percent.
- The foundations of fractal geometry were laid by the famous Renaissance scientist Leonardo da Vinci.
- There are other kinds of non-Euclidean geometries. They are not used in everyday life, but they help to solve many questions in other sciences, such as astronomy.
- Pythagoras’ theorem was called the “donkey bridge” because students who memorized the theorem without understanding it were called donkeys, because they could not “cross the bridge”-Pythagoras’ theorem.
- When Pythagoras proved his theorem by superimposing a right triangle with squares on its sides, his shock and astonishment of his students were so great that the students decided - the world was already known, all that remained was to explain it in numbers.
- Archimedes, who was no stranger to Alexandria, even though he was born in Syracuse, invented many mechanical devices, but he considered his major achievement to be the calculation of the volumes of a cone and a sphere inscribed in a cylinder. The volume of the cone was one-third that of the cylinder, and the volume of the sphere was two-thirds.

- As far back as about 5000 years ago, the ancient Egyptians knew that if you make 12 knots on a rope at equal distances and stretch it in the shape of a triangle, you get a right angle. This knowledge was used in construction.
- The Rhelo triangle is a geometric figure formed by the intersection of three equal circles of radius “A” with centers at the vertices of an equilateral triangle with side “A”. A drill made based on the Rhelo triangle allows you to drill square holes, although with a 2% error.
- In Riemann geometry, the sum of the angles of a triangle is always greater than 180.
- The French emperor Napoleon Bonaparte was an excellent mathematician, and he is the author of several scientific works. One of his geometric problems was even named “Napoleon’s problem” in his honor.
- In geometry, the formula for calculating the volume of a truncated pyramid was derived earlier than the formula for an entire pyramid.
- Euclid personally proved 465 geometric theorems.