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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
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.
Is there a family tree for Pythagoras?
No. Pythagoras lived so long ago that little is known about him, let alone about his ancestry.
What is Pythagoras the ancient greek mathamatision's work about right angled triangle?
His work on right angle triangles is known as Pythagorases Theorum and it states that.. "The square of the hypotenuse is equal to the sum of the squares of the other two side."
What is a list of famous mathematicians and their contributions?
Pythagoras-Irrational numbers such as sqrt(2)
Leonard Euler-Modern definition of function
Archimedes-Volume of a cone
Blaise Pascal-Pascal's Triangle
It is used to find the hypotenuse of a Right triangle
(hypotenuse)2= (side1)2 + (side2)2
What was Pythagoras's landscape like?
Pythagoras is not a landscape or a place.
Pythagoras was a Greek philosopher and mathematician who founded a cult religion called Pythagoreanism in Ancient Greece.
What were the rules in Pythagoras cult?
Pythagoras cult rules where the rules is?
Pythagoras cultis not definened
Were Pythagoras's kids named myia damo arignote arimnestes and telauges?
Pythagoras's had five kids. three daughters named Myia, Arignote, and Arimnestes. two sons named Mnesarchus and Telauges. and a wife named Theano.
ok well we know that he was born in 572BC or 580 so if we.......... use CALCULATAR we might be able to get the esact time
Who influenced Pythagoras with his mathematical discoveries?
In about 2,500 BC the abacus came into use by the Babylonians in Mesopotamia, today's Iraq. The Vedic people from this same region less than 100 kilometres south of Baghdad, entered India about 1500 BC. They wrote texts known as Vedas, which date between the 15th and the 5th century BC. Later the Indian Sulbasutras texts were added, becoming appendices to the Vedas, and these set out rules for the construction of altars for religious worship. The most important of these appendices are the Baudhayana Sulbasutra, written around 800 BC and the Apastamba Sulbasutra written around 600 BC. Certain of the calculus contained within the Sulbasutras demonstrate the principle of Pythagoras' theorem. In the Baudhayana Sulbasutra a special case of the theorem is written explicitly:- "The rope which is stretched across the diagonal of a square produces an area double the size of the original square." The Katyayana Sulbasutra gives a more general version:- "The rope which is stretched along the length of the diagonal of a rectangle produces an area which the vertical and horizontal sides make together." As these texts attest, although known some 1,000 years before Pythagoras' time, he is credited with being the first mathematician to actually prove the theorem which was much later named after him. A portion of a 4000 year old Babylonian tablet (c. 1900 B.C.E.), now known as Plimpton 322, (in the collection of Columbia University, New York), lists columns of numbers showing what we now call Pythagorean Triples - sets of numbers that satisfy the equation. It is also known that the Egyptians used a knotted rope as an aid to establish right angles in the construction of their buildings. The rope had 12 evenly spaced knots, which could be formed into a 3-4-5 right triangle, thus giving an angle of exactly 90 degrees.
Most historians agree that Pythagoras travelled to Phoenicia, (modern-day Lebanon) and also to Babylon in Mesopotamia with his father, who was a merchant. As an adult Pythagoras went to Egypt to study, so it can be assumed that he studied the above knowledge of these civilizations. However, modern research throws considerable doubt upon the many discoveries attributed to Pythagoras, as discussed on this website of Stanford University : http://plato.stanford.edu/entries/pythagoras/ .
Thales (b. approx. 624 BC in Miletos, Asia Minor - now Turkey - and died about 546 BC in Miletos), was the first known and recorded Greek philosopher, scientist and mathematician. He brought Babylonian mathematical knowledge to Greece and if not a tutor to Pythagoras, he certainly advised and influenced him and is said to have encouraged Pythagoras to travel and learn from the "Chaldeans", otherwise known as the Babylonians.
Quoting Wikipedia Encylopedia: "We find mentioned as his instructors Creophylus,[11] Hermodamas,[12] Bias,[13] Thales,[14] Anaximander,[15] and Pherecydes of Syros.[16] The Egyptians are said to have taught him geometry, the Phoenicians arithmetic, the Chaldeans astronomy, the Magians the formulae of religion and practical maxims for the conduct of life.[17] Of the various claims regarding his Greek teachers, Pherecydes is the most oft-mentioned figure."
I added a related link below that answers your question plus any others you may have.
What are aspects of Pythagoras theorem?
Pythagoras' theorem states that for any right angled triangle the length of the hypotenuse when squared is equal to the sum of the length of the base plus the length of the height when both are squared: base2+height2 = hypotenuse2
Every day application of Pythagoras theorem?
1. A practical application of Pythagoras Theorem is to check where the ploat or a building or land are in the form of a square or rectangle ( i.e. each corner angle is 90 degree or not )
2. For finding the third side of a right angle triangle
3. Use of Trigometry i.e. sinx , cosx and tanx based on right angle triangle are used in finding the area of many geometrical figures like area of any triangle , rectangle etc.
4. many more ........
What was Pythagoras great for?
Pythagoras is great for all the things he did.
Including:
Making Pythagoras' Theorem and even more.
