what was pythagoras interested in ?
347497
Pythagoras wrote nothing himself but preferred to leave his students to document his thoughts.\n\nHe taught many unusual doctrines including the veneration for - and the abstinence from eating of - beans. He also preached reincarnation and the transmigration of souls. He is largely responsible for the modern belief in numerology\n\nAccording to Pythagoras the ultimate nature of reality is number, an idea developed from his theory of music in which he proved that the interval between musical tones could be expressed as ratios of the first four numbers. He claimed that music has a special power over the soul.\n\nThe "Tetractys of the decad" was venerated by the Pythagoreans. This is a diagram that represents the first four numbers as a triangle of ten dots:\n-----*\n----* *\n---* * *\n--* * * *\n10 was called the perfect number because it is made up of the sum of the first four numbers.
498286
Mathematics was not invented; it was noticed. Then the early Babylonians started using it to make the calender we still use today. It was used for so many things! Things just kept getting noticed. Heck; I've invented 2 Theorems already. Proved 'em, too.
363631
The Pythagorean didn't find these. In fact, trigonometry didn't get started until Hypparchus in the second century BC (Pythagorus was in the 6th century BC). But Hypparchus didn't use the trig functions we use today. The sine function wasn't used until about the early 5th century AD in India.
849522
Pythagorean Theorem\n \nLet's build up squares on the sides of a right triangle. Pythagoras' Theorem then claims that the sum of (the areas of) two small squares equals (the area of) the big one.\n\nIn algebraic terms, a2 + b2 = c2 where c is the hypotenuse while a and b are the legs of the triangle.\n\nThe theorem is of fundamental importance in the Euclidean Geometry where it serves as a basis for the definition of distance between two points. It's so basic and well known that, I believe, anyone who took geometry classes in high school couldn't fail to remember it long after other math notions got thoroughly forgotten.\n\nBelow is a collection of 69 approaches to proving the theorem. Some of the proofs are accompanied by Java illustrations, but most have been written in plain HTML.\n\nRemark\nThe statement of the Theorem was discovered on a Babylonian tablet circa 1900-1600 B.C. Whether Pythagoras (c.560-c.480 B.C.) or someone else from his School was the first to discover its proof can't be claimed with any degree of credibility. Euclid's (c 300 B.C.) Elements furnish the first and, later, the standard reference in Geometry. In fact Euclid supplied two very different proofs: the Proposition I.47 (First Book, Proposition 47) and VI.31. The Theorem is reversible which means that a triangle whose sides satisfy a2 + b2 = c2 is necessarily right angled. Euclid was the first (I.48) to mention and prove this fact.\n\nW. Dunham [Mathematical Universe] cites a book The Pythagorean Proposition by an early 20th century professor Elisha Scott Loomis. The book is a collection of 367 proofs of the Pythagorean Theorem and has been republished by NCTM in 1968.\n\nIn all likelihood, Loomis drew inspiration from a series of short articles in The American Mathematical Monthly published by B. F. Yanney and J. A. Calderhead in 1896-1899. Counting possible variations in calculations derived from the same geometric configurations, the potential number of proofs there grew into thousands. For example, the authors counted 45 proofs based on the diagram of proof #6 and virtually as many based on the diagram of #19 below. I'll give an example of their approach in proof #56. (In all, there were 100 "shorthand" proofs.)\n\nPythagorean Theorem generalizes to spaces of higher dimensions. Some of the generalizations are far from obvious.\n\nLarry Hoehn came up with a plane generalization which is related to the law of cosines but is shorter and looks nicer.\n\nThe Theorem whose formulation leads to the notion of Euclidean distance and Euclidean and Hilbert spaces, plays an important role in Mathematics as a whole. I began collecting math facts whose proof may be based on the Pythagorean Theorem.\n\nWherever all three sides of a right triangle are integers, their lengths form a Pythagorean triple (or Pythagorean numbers). There is a general formula for obtaining all such numbers.\n\nMy first math droodle was also related to the Pythagorean theorem. Unlike a proof without words, a droodle may suggest a statement, not just a proof.\n\nSeveral false proofs of the theorem have also been published. I shall collect some in a separate page. It is better to learn from mistakes of others than to commit one's own.\n\nIt is known that the Pythagorean Theorem is Equivalent to Parallel Postulate.\n\nThe Pythagorean configuration is known under many names, the Bride's Chair being probably the most popular. Besides the statement of the Pythagorean theorem, Bride's chair has many interesting properties, many quite elementary.\n\nProfessor Edsger W. Dijkstra found an absolutely stunning generalization of the Pythagorean theorem. If, in a triangle, angles a, b, g lie opposite the sides of length a, b, c, then\n\n(EWD) sign(a + b - g) = sign(a2 + b2 - c2),  \n\nwhere sign(t) is the signum function:\n\n  sign(t) = -1, for t < 0, \nsign(0) =  0, \nsign(t) =  1, for t > 0. \n \n\nThe theorem this page is devoted to is trea
45566
The bible also teaches that pi=3. I think I would take the bible for what it is; a historical document and work of literature full of allegory and moral rules, and an important part of Western and world culture. I would not take the bible as a mathematics text.
862280
There are quite a few method for proving pythagoras theorem. I feel that easiest and neatest is by similarity of triagles ..\n\nproof 6 of the link
1043613
This lesson will allow you to figure out the Pythagorean Theorem all by yourself.  Go ahead and click on the preface link.\n\nhttp://www.arcytech.org/java/pythagoras/index.html
190806
You would think Pythagoras, but actually not originally.\nHe studied many years at the library of Alexandria (Ancient Egypt), whereupon he came upon this theorem (now named after him) first recorded by an ancient Egyptian mathematician known as (I think) Tet.\nSince it was not permitted to take things from the library, or even copy them he memorized it, then later taught it to his disciples as his own.
171821
I think math is wonderful, there are so many uses for it. It is an ever expanding topic too, I don't think we will ever find a "limit" to what we can do with math
918358
theorm of Pythagorus states that if one of the angle of triangle is right angle{90degrees} than the hypotenuese square{the side opposite to right angle} is egual to the sum of squares of the sides forming the right angle \ni.e. (Hyp)square =one side square + second side square \n a2=b2+c2
888002
my advice is to look for a history book, but also you can check wikipedia:\n\nGreek mathematics studied before the Hellenistic period refers only to the mathematics of Greece. Greek mathematics studied from the time of the Hellenistic period (from 323 BC) refers to all mathematics of those who wrote in the Greek language, since Greek mathematics was now not only written by Greeks but also non-Greek scholars throughout the Hellenistic world, which was spread across the Eastern end of the Mediterranean. Greek mathematics from this point merged with Egyptian and Babylonian mathematics to give rise to Hellenistic mathematics. Most mathematical texts written in Greek were found in Greece, Egypt, Mesopotamia, Asia Minor, Sicily and Southern Italy.\n\nAlthough the earliest found Greek texts on mathematics were written after the Hellenistic period, many of these are considered to be copies of works written during and before the Hellenistic period. Nevertheless, the dates of Greek mathematics are more certain than the dates of earlier mathematical writing, since a large number of chronologies exist that, overlapping, record events year by year up to the present day. Even so, many dates are uncertain; but the doubt is a matter of decades rather than centuries.\n\nGreek mathematics is thought to have begun with Thales (c. 624—c.546 BC) and Pythagoras (c. 582—c. 507 BC). Although the extent of the influence is disputed, they were probably influenced by the ideas of Egypt, Mesopotamia and less likely[citation needed], India. Thales used geometry to solve problems such as calculating the height of pyramids and the distance of ships from the shore. According to Proclus' commentary on Euclid, Pythagoras stated the Pythagorean theorem and constructed Pythagorean triples algebraically. It is generally conceded that Greek mathematics differed from that of its neighbors in its insistence on axiomatic proofs.[8]\n\nGreek and Hellenistic mathematicians were the first to give a proof for irrational numbers (due to the Pythagoreans), and the first to develop Eudoxus's method of exhaustion, and the Sieve of Eratosthenes for uncovering prime numbers. They took the ad hoc methods of constructing a circle or an ellipse and developed a comprehensive theory of conics; they took many various formulas for areas and volumes and deduced methods to separate the correct from the incorrect and generate general formulas. The first recorded abstract proofs are in Greek, and all extant studies of logic proceed from the methods set down by Aristotle. Euclid, in the Elements, wrote a book that would be used as a mathematics textbook throughout Europe, the Near East and North Africa for almost two thousand years. In addition to the familiar theorems of geometry, such as the Pythagorean theorem, The Elements includes a proof that the square root of two is irrational and that there are infinitely many prime numbers.\n\nSome say the greatest of Greek mathematicians, if not of all time, was Archimedes (287—212 BC) of Syracuse. According to Plutarch, at the age of 75, while drawing mathematical formulas in the dust, he was run through with a spear by a Roman soldier. Roman society has left little evidence of an interest in pure mathematics.\n\n\nEuropean Renaissance mathematics (c. 1200—1600)\n\nIn Europe at the dawn of the Renaissance, most of what is now called school mathematics -- addition, subtraction, multiplication, division, and geometry -- was known to educated people, though the notation was cumbersome: Roman numerals and words were used, but no symbols: no plus sign, no equal sign, and no use of x as an unknown. Most of the mathematics now taught at universities was either known only to the mathematical community in India or had yet to be investigated and developed in Europe.\n\nThrough Latin translations of Arabic texts, knowledge of the Hindu-Arabic numerals and other important developments of Islamic and Indian mathematics were brought to Europ
982565
It can't be done with an unmarked straightedge and a compass, but it can be done with a *marked* straightedge and a compass. The latter was doen by Archimedes about 200BC.
55872
Vegetarian food only. Pythagoras belonged to a cult which was very strict and allowed only vegetarian food.
14730
Mathematics and music are two objective languages, which not only means you cannot lie, but everyone on earth can potentially understand you...and perhaps beyond!\n\nThe Pyramids and the Gothic cathedrals were built on the principles of Sacred Geometry...from the circle comes the tringle, square, pentagon, hexagon, etc. all fundamentals in building!\n\nSnowflakes are an example of geometry in natrue. The symetry of human & animal forms, in biology, etc...
224697
Whether any one likes it or not, the sum of the squares of the sides of a right angled triangle will always like to be equal to the square of the hypotenuse.\n\nPlease, from today say to yourself that I like Pythagoras Theorm. Soon you will begin to like it. It will lead you to many wonders of science
900440
Very unlikely.  The Greeks were very advanced in mathematics, indeed, a lot of advanced mathematics date back to over 2000 years ago in Greece.  For example, the Elements, which is considered to be one of the most successful textbooks in the history of mathematics, and contains geometry and number theory, was written by Greek Mathematician Euclid around 300 BC.  There's also the Greek Pythagoreans, if you've heard of the pythagorean theorem in right triangles, that's where the name comes from.
585284
I think you mean he discovered that the angles in a triangle add up to the sum of two right angles (180 degrees). However, he is best known for the Pythagorean Theorem, which says that for all right triangles the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse. Many mathematicians and others, including President Garfield, have come up with original proofs for this theorem. Here's a couple links, one to information about the famous theorem and another to biographical information on Pythagoras.