This essay Geometry can be defined as The branch of mathemat has a total of 974 words and 5 pages.
Geometry can be defined as "The branch of mathematics that treats the properties, measurement, and relations of points, lines, angles, surfaces, and solids."1 But what most people don't know is that geometry is much more than that definition. Geometry is what helps designs buildings, it's what helps make our cars, houses, ramps, most of the things we use every day are connected to geometry somehow. Geometry is so much more than a subject we study in school, geometry is everything. And thanks to brilliant mathematicians such as Euclid, Plato, Pythagoras, and many more we have geometry.
How Geometry Came to Be
The first record of geometry can be traced back to 6000 BC when the tribe of the Indus Valley discovered obtuse triangles and other small traces of geometry have been found in scribes from other places. Then, one in 569 BC in Greece a brilliant but controversial mathematician called Pythagoras was born. Pythagoras is a controversial mathematician because to this day we aren't sure if the theorems ascribed to him were in fact solved by Pythagoras personally or by his followers. Pythagoras started a school called "The Semicircle"2, but the leader of the Samos didn't want him in Babylonia, so he left to Crotona and founded a religious and philosophical school. The people in the school lived there and had no possessions, and were vegetarian. The society was very secret, they all shared ideas and discoveries with each other. For that reason, people aren't sure if he came up with all the mathematical discoveries he is said to have invented. His followers wrote down all the theories and discoveries and always gave Pythagoras credit for them even if he didn't come up with them. "Pythagoras is mainly remembered for what has become known as Pythagoras' Theorem (or the Pythagorean Theorem): that, for any right-angled triangle, the square of the length of the hypotenuse (the longest side, opposite the right angle) is equal to the sum of the square of the other two sides (or "legs"). Written as an equation: a2 + b2 = c2" 3
These are examples of the Pythagorean Theorem
Other discoveries that are believed to be discovered by Pythagoras is that " t he sum of the angles of a triangle is equal to two right angles, The discovery of irrational numbers, and The five regular solids (tetrahedron, cube, octahedron, icosahedron, dodecahedron)" 4 . After Pythagoras, another brilliant mathematician called Plato was born. Plato is mostly known for creating the "School of Athens". " The sign ab ove the Academy entrance read: Let no-one ignorant of geometry enter here". 5 There he stressed mathematics as a way of understanding reality and he was convinced that through geometry you can discover all the secrets of the world. He demanded accuracy, neatness, and that all proofs where demonstrated with only a straightedge and a compass. " Among the many mathematical problems Plato posed for his students' investigation were the so-called Three Classical Pr oblems (squaring the circle, doubling the cube and trisecting the angle ) " 6 Later on, in the 19nth century was when these three problems were considered impossible. Plato is also known for his interpretation of the Platonic Solids. He believed that these shapes are the basics of the whole universe. He described the tetrahedron as fire, the octahedron which was air, the icosahedron which was water, and the dodecahedron which he believed to be what the gods used to arrange the constellations in the sky. These interpretations inspired mathematicians around the world and Plato's school became one of the most prestigious of Athens.
In 325 BC Euclid was born, one of the most popular mathematicians around the world. He is also known as "The Father of Geometry" and wrote one of the most important mathematical textbooks of all time, "The Elements". The books described almost all the geometry that we have and use now. "The Elements" has 13 books and is where Euclidean Geometry came from. Apart from writing one of the most influential books Euclid also had five general axioms and geometrical postulates which were:
Things which are equal to the same thing are equal to each other.
If equals are added to equals, the wholes (sums) are
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