How did Eratosthenes create sieve?
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In mathematics, the Sieve of Eratosthenes is a simple, ancient algorithm for finding all prime numbers up to a specified integer. It is the predecessor to the modern Sieve of Atkin, which is faster but more complex. It was created by Eratosthenes, an ancient Greek mathematician.
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People created god out of a need to answer unanswerable questions. We used to have dozens of gods (Rome and Greece, etc.) but simplified it down to one to help with all the memorization.
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None, Zero was invented by Indian Mathematician Aryabhata and later Brahmagupta developed its concept
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He created the Dewey decimal system. He's the reason your local library is arranged the way it is.
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I am not sure what your exact question is. However, while plato was a great philosopher. I doubt he had the skills required to build the microchip. However plato did say what exists in the realm of ideas can then exist in reality in some form or other. Be it actual invention or merely the spoken word. In reference to this the microchip was a idea that was created (in the 80`s in silicone valley, I believe) then given form. If Plato did built microchips ( a almost amusing concept ) the world would be a much differrent place today. For instance, Nero would have brought his fiddle on ebay, and the Byzantines would have been able to spy on the Syracens with tiny bugging devices. If you are talking about prophesy, their is no such thing. Theirfore Plato neither invented nor prophesized the microchip. It is just a fairly new invention that makes life easier for all of us, and gives us powerful pc`s we can use in the comfort of our own home.
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Look up Gauss. Story is he added up 1..100 in grade school and invented the n*(N+1)/2.
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It is an invention of man - the number system is at least.\n\nThe axioms that define mathematics were invented by man as a way of describing the world in the simplest and most absolute way possible.\n\nthere are eight planets and there still will be without mathematics, but we wouldn't be able to describe them as "8 planets" without mathematics.\n\nPutting 2 grapes and 2 grapes together would make 4 grapes, but 2+2=4 is our way of describing that.
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Dear Visit and search in the left side(Curios search):\nhttp://primes.utm.edu/curios/page.php...
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The theorem (that every real integer can be written as the sum of four squares) was first stated (or enunciated) by Diophatus, the "father of algebra", around 1,800 years ago.  It may have been solved by Pierre de Fermet in 1638, but the first known, published proof was that of Joseph Lagrange in 1770.
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Famous Fermat contributed to the development of modern calculus. Fermat created the modern theory of numbers. Some of his results were not proved for over a century after his death, and one of them, the Last Theorem, took more than three centuries to prove.\n\nHe also contribute to mathematical physics.
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The first actual calculating mechanism known to us is the abacus, which is thought to have been invented by the Babylonians sometime between 1,000 BC and 500 BC
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Something I found interesting while studying Genesis. I did a Beth Moore "Patriarchs"  And I liked it but then I got J. Vernon Mcgee Commentary series and he really expands on the Bible.  Check it out it is really good, anyway on the chapter he did on God's creation of Man he states that "It is quite interesting that our bodies are made up of about  16 chemical elements. Those same chemical elements are found in the ground. The physical part of man was taken out of the dust of the ground. If we were to be boiled down  (gross huh)into the separate chemical elements of which we are made, we would be worth very little in terms of money. I used to say $2.98, but inflationhas increased that figure a little. That is the extent of our bodily worth because we were made out of dust from the ground. But man is more than dust. Physically, dust he is and to the dust he will return, but his spirit is going to God."  Just something I found interesting and wanted to share.
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64 proofs\nexplanation\nProof #1\nThis is probably the most famous of all proofs of the Pythagorean proposition. It's the first of Euclid's two proofs (I.47). The underlying configuration became known under a variety of names, the Bride's Chair likely being the most popular.\n\n    \n\nThe proof has been illustrated by an award winning Java applet written by Jim Morey. I include it on a separate page with Jim's kind permission.\n\nFirst of all, ABF = AEC by SAS. This is because, AE = AB, AF = AC, and\n\n  BAF = BAC + CAF = CAB + BAE = CAE.\n \n\nABF has base AF and the altitude from B equal to AC. Its area therefore equals half that of square on the side AC. On the other hand, AEC has AE and the altitude from C equal to AM, where M is the point of intersection of AB with the line CL parallel to AE. Thus the area of AEC equals half that of the rectangle AELM. Which says that the area AC2 of the square on side AC equals the area of the rectangle AELM.\n\nSimilarly, the are BC2 of the square on side BC equals that of rectangle BMLD. Finally, the two rectangles AELM and BMLD make up the square on the hypotenuse AB.\n\nThe configuration at hand admits numerous variations. B. F. Yanney and J. A. Calderhead (Am Math Monthly, v.4, n 6/7, (1987), 168-170 published several proofs based on the following diagrams\n\n   \n\n\n\nProof #2\n    \n\nWe start with two squares with sides a and b, respectively, placed side by side. The total area of the two squares is a2+b2.\n\n    \n\nThe construction did not start with a triangle but now we draw two of them, both with sides a and b and hypotenuse c. Note that the segment common to the two squares has been removed. At this point we therefore have two triangles and a strange looking shape.\n\n    \n\nAs a last step, we rotate the triangles 90o, each around its top vertex. The right one is rotated clockwise whereas the left triangle is rotated counterclockwise. Obviously the resulting shape is a square with the side c and area c2.\n\n(A variant of this proof is found in an extant manuscript by Thâbit ibn Qurra located in the library of Aya Sofya Musium in Turkey, registered under the number 4832. [R. Shloming, Thâbit ibn Qurra and the Pythagorean Theorem, Mathematics Teacher 63 (Oct., 1970), 519-528]. ibn Qurra's diagram is similar to that in proof #27. The proof itself starts with noting the presence of four equal right triangles surrounding a strangenly looking shape as in the current proof #2. These four triangles correspond in pairs to the starting and ending positions of the rotated triangles in the current proof. This same configuration could be observed in a proof by tesselation.)\n\n\n\nProof #3\n    \n\nNow we start with four copies of the same triangle. Three of these have been rotated 90o, 180o, and 270o, respectively. Each has area ab/2. Let's put them together without additional rotations so that they form a square with side c.\n\n    \n\nThe square has a square hole with the side (a-b). Summing up its area (a-b)2 and 2ab, the area of the four triangles (4·ab/2), we get\n\n  c2 = (a-b)2+2ab \n  = a2-2ab+b2+2ab \n  = a2+b2 \n \n\n\n\nProof #4\n    \n\nThe fourth approach starts with the same four triangles, except that, this time, they combine to form a square with the side (a+b) and a hole with the side c. We can compute the area of the big square in two ways. Thus\n\n  (a + b)2 = 4·ab/2 + c2  \n\nsimplifying which we get the needed identity.\n\n\n\nProof #5\n\nThis proof, discovered by President J.A. Garfield in 1876 [Pappas], is a variation on the previous one. But this time we draw no squares at all. The key now is the formula for the area of a trapezoid - half sum of the bases times the altitude - (a+b)/2·(a+b). Looking at the picture another way, this also can be computed as the sum of areas of the three triangles - ab/2 + ab/2 + c·c/2. As before, simplifications yield a2+b2=c2.\n\nTwo copies of the same trapezoid can be combined in two ways by attac
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The value of pi was not very well calculated during that time period. In fact, Archimedes (about 200 BC) was able to say that it is between 3 10/71 and 3 1/7. This is only a 2 decimal place accuracy. However, he did give a method involving polygons to obtain better approximations.\n\nThe Egyptians had a rather unusual system for fractions which was rather cumbersome to work with. They did multiplication and division by doubling, halving, and addition.\n\nThe intellectual Greeks and Romans tended to use the Babylonian system which was a base 60 system. The methods were fairly similar to our system. For things like square roots, they did successive approximations. The specific approximations used depend on the time period.
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"Pythagoras of Samos was a Greek philosopher responsible for important developments in mathematics, astronomy and the theory of music. He left Samos because of the tyrant who ruled there and went to southern Italy about 532 BC. He founded a philosophical and religious school in Croton that had many followers.\n\nAlthough the theorem now known as Pythagoras's theorem was known to the Babylonians 1000 years earlier he may have been the first to prove it.\n\nOf his actual work nothing is known. His school practised secrecy and communalism making it hard to distinguish between the work of Pythagoras and that of his followers. His school made outstanding contributions to mathematics.\n\nPythagoreans believed that all relations could be reduced to number relations. This generalisation stemmed from observations in music, mathematics and astronomy.\n\nThe Pythagoreans noticed that vibrating strings produce harmonious tones when the ratios of the lengths of the strings are whole numbers, and that these ratios could be extended to other instruments.\n\nThe most important discovery of this school was the fact that the diagonal of a square is not a rational multiple of its side. This result showed the existence of irrational numbers. Not only did this disturb Greek mathematics but the Pythagoreans' own belief that whole numbers and their ratios could account for geometrical properties was challenged by their own results.\n\nIn astronomy Pythagoras taught that the Earth was a sphere at the centre of the Universe. He also recognised that the orbit of the Moon was inclined to the equator of the Earth and he was one of the first to realise that Venus as an evening star was the same planet as Venus as a morning star. "\n\nThere is some more on Pythagoras at\nhttp://www-history.mcs.st-and.ac.uk/~history.\nGo to the search menu and search for "pythagoras". Hope this answers your question.
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Clay = Dust + Water\nBlood clot = Embryo (beginning phases)\n\nedit: Everything was created out of nothing in the beginning. The dust and the water was also created from nothing.\n\nNothing-->Dust + Water-->Clay-->Man\n\n\n---\nthanks zifikos, you too! :-)
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I don't know who "invented" (first derived) it, but\nit falls out from some reasonably straight forward math.\nSee the explanation at:\n\n    http://www.moneychimp.com/features/rule72_why.htm