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Euclid

## Did Pythagoras invent geometry?

Probably the most famous name during the development of Greek geometry is Pythagoras, even if only for the famous law concerning right angled triangles. This mathematician lived in a secret society which took on a semi-religious mission.

## How was the Pythagorean theorem used in ancient times?

Apart from India, the Chinese and the Egyptians also used this theorem in construction. This is how many of the Egyptians pyramids are built. The Egyptians wanted a perfect 90-degree angle to build the pyramids which were actually two right-angle triangle whose hypotenuse forms the edges of the pyramids.

## Is Pythagorean theorem trigonometry?

The Pythagorean trigonometric identity, also called simply the Pythagorean identity, is an identity expressing the Pythagorean theorem in terms of trigonometric functions. Along with the sum-of-angles formulae, it is one of the basic relations between the sine and cosine functions.

Edgar J. Banks

## What was the name of the man who interpreted Plimpton 322 as a list of Pythagorean triples?

Math on the McKenzie: Pythagoras, Plimpton 322 and Pythagorean Triples.

## What did Pythagoras study?

Pythagoras studied odd and even numbers, triangular numbers, and perfect numbers. Pythagoreans contributed to our understanding of angles, triangles, areas, proportion, polygons, and polyhedra. Pythagoras also related music to mathematics.

## Is Pythagoras the father of mathematics?

Historians generally agree that Pythagoras of Samos (born circa 569 BC in Samos, Ionia and died circa 475 BC) was the first mathematician. He is an extremely important figure in the development of mathematics, yet relatively little is known about his mathematical achievements.

James Garfield

## Why is the Pythagorean Theorem important to the world of math?

The Pythagorean Theorem is useful for two-dimensional navigation. You can use it and two lengths to find the shortest distance. … The distances north and west will be the two legs of the triangle, and the shortest line connecting them will be the diagonal. The same principles can be used for air navigation.

## Why is Pythagorean theorem interesting?

The discovery of Pythagoras’ theorem led the Greeks to prove the existence of numbers that could not be expressed as rational numbers. For example, taking the two shorter sides of a right triangle to be 1 and 1, we are led to a hypotenuse of length , which is not a rational number.

## What is the conclusion of Pythagoras Theorem?

A right-angled triangle can be identified given the length of the longest side squared is equal to the sum of the other two sides squared. The length of any side of a right-angled triangle can be determined given the length of any two sides.

## Why is Pythagorean theorem not a law?

Why is the Pythagorean Theorem not a law? Because breaking it should not be a criminal offence. If the Pythagorean theorem were a law, you wouldn’t be able to break it, but it is not true in all geometries, so you can. In fact it is only true in Euclidean geometry (in two or more dimensions).

## Is Pythagorean theorem still a theorem?

It is not. It is a statement about the relationship between the lengths of the sides of a mathematical concept known as a right triangle. And the Pythagorean theorem is a mathematical theorem, not a scientific hypothesis.

## What is the difference between a law and a theorem?

1 Answer. Theorems are results proven from axioms, more specifically those of mathematical logic and the systems in question. Laws usually refer to axioms themselves, but can also refer to well-established and common formulas such as the law of sines and the law of cosines, which really are theorems.

2018-11-28