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Pythagoras

Pythagoras was a Greek philosopher, mathematician and founder of Pythagoreanism religious movement. He was known for the Pythagorean Theorem and made influential contributions in the field of mathematics and natural philosophy.

1,004 Questions

Did Pythagoras find the Pythagorean theorem?

Although the mathematical facts of the theorem existed - even before humans did - the theorem itself did not exist until Pythagoras thought of it. In that sense, he did not FIND it because it did not exist until he had thought of it.

What does the Pythagoras theorum say?

a2+b2=c2

a,b,and c are sides to a right triangle. c is the hypotenuse (the side opposite from the right angle)

so if you had a triangle with the side lengths 3 and 4 and you want to find the hypotenuse, this is how.

32+42=c2

9+16=c2

25=c2

square root(25)=square root(c2)

5=c

so 5 would be your answer

the Pythagoras theorem is this equation.

What formula is Pythagoras famous for?

C(squared) = A(squared) + B(Squared)

It applies to right angled triangles when you need to find a length.

C = The hypotenuse

A and B = the angles adjacent to the right angle

What is Pythagoras's formula?

It's c2=a2+b2 where c is the hypotenuse (longest side), a and b are the other sides, it helps find if it's a right-angle triangle.

What was Pythagoras major contribution to mathematics?

Pythagoras Theorem - In a right angled triangle, the sum of squares of the 2 lesser sides equals the square of the hypotenuse (the largest side)

How did Pythagoras became famous?

Pythagoras became famous by the discovery of Pythagorean theorem

What other theorems did Pythagoras formulate?

In Croton (now Crotone, southern Italy) Pythagoras founded his famous philosophical school. He had many followers who "Pythagoreans" called. Pythagoras was the head of a group of close followers who "mathematikoi" were mentioned. They lived permanently within the walls of the 'community'. They had no personal possessions and were vegetarians. They were taught by Pythagoras himself and obeyed strict rules. They learned:

that the essence of all mathematics;

philosophy that can help achieve spiritual purity;

the soul is one with the divine;

that certain symbols have a mystical significance;

they each had to exercise strict loyalty.

Both men and women could not mathematikoi ', so that some (later) women Pythagoreans became famous philosophers.

Besides mathematikoi knew the Pythagoreans akousmatikoi community, not within the walls of the "community" living. They could have possessions and were not a vegetarian.

From 510 BC. touched the Pythagorean Community in Croton in the difficulty after winning Sybaris by Croton. However, they spread over many other Italian cities. After 500 BC. Community was more political and after 460 BC. Members were then prosecuted. Their meeting places were destroyed. Many Pythagoreans then fled to Thebes and other Greek cities.

Further work of the Pythagoreans are:

Proof that the angles of a triangle along two right angles, and the extension of this argument: a polygon with n sides is the sum of the interior angles equal to that of 2n - 4 right angles.

Constructing figures with a given surface and a kind of geometric algebra. (What we call equations solved it geometrically on.)

The discovery of irrational numbers: numbers that are not broken to write, as the root of 2.

The five regular solids: tetrahedron (regular tetrahedron), cube, octoëder (regular octahedron), dodecahedron (regular dodecahedron); isocaëder (regular eight p.m. plane).

In astronomy, they learned that the earth was a sphere in the center of the universe, that the orbit of the moon an angle to the equator and the morning star Venus plannet was the same as Venus the evening star.

How many children did Pythagoras and his wife have together?

Their children are variously stated to have included a son, Telauges, and three daughters, Damo, Arignote, and Myia

What did Pythagoras name his school?

Pythagoreanism developed two separate schools of thought, the learners and the listeners.

The learners extended and developed the more mathematical and scientific work of Pythagoras. The listeners focused on the more religious and ritualistic aspects of his teachings.

Did Pythagoras believe in reincarnation?

absolutely yes, he claimed that he used to be tree

What could you use Pythagoras therom for?

Working out a right angle when building a wall corner.

What is the Pythagoras theorm?

it's when you have a right triangle and the two sides that form the right angle added together equals the the diagonal side (other side not used)

Did Pythagoras have friends?

no he was a sad loner and alone for the rest of his life till he died

How can you work out pythagorass theorem?

There are a great number of different proofs of the Pythagorean Theorem. Unfortunately, many of them require diagrams which are hard to reproduce here. Check out the link to Wikipedia's page on the theorem for several different proofs.

What were Pythagoras's kids names?

His children are variously stated to have included a son, Telauges, and three daughters, Damo, Arignote, and Myia.

How did Pythagoras impact society?

Pythagoras is born in 500 AD he is greek he make triangle problems for maths to make maths more boring

What is Pythagoras's findings effect music?

Many European philosophers will call him the father of philosophy. Many scientists will call him the father of science. To musicians, nonetheless, Pythagoras is the father of music. According to Johnston, it was a much told story that one day the young Pythagoras was passing a blacksmith's shop and his ear was caught by the regular intervals of sounds from the anvil. When he discovered that the hammers were of different weights, it occurred to him that the intervals might be related to those weights. Pythagoras was correct. Pythagorean philosophy maintained that all things are numbers. Based on the belief that numbers were the building blocks of everything, Pythagoras began linking numbers and music. Revolutionizing music, Pythagoras' findings generated theorems and standards for musical scales, relationships, instruments, and creative formation. Musical scales became defined, and taught. Instrument makers began a precision approach to device construction. Composers developed new attitudes of composition that encompassed a foundation of numeric value in addition to melody. All three approaches were based on Pythagorean philosophy. Thus, Pythagoras' relationship between numbers and music had a profound influence on future musical education, instrumentation, and composition.

The intrinsic discovery made by Pythagoras was the potential order to the chaos of music. Pythagoras began subdividing different intervals and pitches into distinct notes. Mathematically he divided intervals into wholes, thirds, and halves. "Four distinct musical ratios were discovered: the tone, its fourth, its fifth, and its octave." (Johnston, 1989). From these ratios the Pythagorean scale was introduced. This scale revolutionized music. Pythagorean relationships of ratios held true for any initial pitch. This discovery, in turn, reformed musical education. "With the standardization of music, musical creativity could be recorded, taught, and reproduced." (Rowell, 1983). Modern day finger exercises, such as the Hanons, are neither based on melody or creativity. They are simply based on the Pythagorean scale, and are executed from various initial pitches. Creating a foundation for musical representation, works became recordable. From the Pythagorean scale and simple mathematical calculations, different scales or modes were developed. "The Dorian, Lydian, Locrian, and Ecclesiastical modes were all developed from the foundation of Pythagoras." (Johnston, 1989). "The basic foundations of musical education are based on the various modes of scalar relationships." (Ferrara, 1991). Pythagoras' discoveries created a starting point for structured music. From this, diverse educational schemes were created upon basic themes. Pythagoras and his mathematics created the foundation for musical education as it is now known.