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Archimedes of Syracuse (Greek: Ἀρχιμήδης; c. 287 BC – c. 212 BC) was a Greek mathematician, physicist, engineer, inventor, and astronomer. Although few details of his life are known, he is regarded as one of the leading scientists in classical antiquity. Among his advances in physics are the foundations of hydrostatics, statics and the explanation of the principle of the lever. He is credited with designing innovative machines, including siege engines and the screw pump that bears his name. Modern experiments have tested claims that Archimedes designed machines capable of lifting attacking ships out of the water and setting ships on fire using an array of mirrors. Archimedes is generally considered to be the greatest mathematician of antiquity and one of the greatest of all time. He used the method of exhaustion to calculate the area under the arc of a parabola with the summation of an infinite series, and gave a remarkably accurate approximation of pi. He also defined the spiral bearing his name, formulas for the volumes of surfaces of revolution and an ingenious system for expressing very large numbers. Archimedes died during the Siege of Syracuse when he was killed by a Roman soldier despite orders that he should not be harmed. Cicero describes visiting the tomb of Archimedes, which was surmounted by a sphere inscribed within a cylinder. Archimedes had proven that the sphere has two thirds of the volume and surface area of the cylinder (including the bases of the latter), and regarded this as the greatest of his mathematical achievements. Unlike his inventions, the mathematical writings of Archimedes were little known in antiquity. Mathematicians from Alexandria read and quoted him, but the first comprehensive compilation was not made until c. 530 AD by Isidore of Miletus, while commentaries on the works of Archimedes written by Eutocius in the sixth century AD opened them to wider readership for the first time. The relatively few copies of Archimedes' written work that survived through the Middle Ages were an influential source of ideas for scientists during the Renaissance, while the discovery in 1906 of previously unknown works by Archimedes in the Archimedes Palimpsest has provided new insights into how he obtained mathematical results. From Wikipedia under the
GNU Free Documentation License How does Archimedes principle apply to the situation stated below? Q. If a cup containing a pebble inside it, is placed on the surface of water in a tank causing the water to overflow what will the case when the cup and pebble are separately placed on the water surface. Asked by vk - Fri Jan 23 20:19:22 2009 - - 4 Answers - 0 Comments A. OK, so when you put the cup with the pebble inside, does it remain afloat? You have 2 cases to consider, cup floats and cup sinks. First case, cup floats with pebble inside. When separated, I assume the cup floats and the pebble sinks. Consider what happens. When together, the water displaced is equal to the volume of the cup which equals the mass of the pebble and cup. When separate, the cup still floats, but displaces only as much water as the mass of the cup alone. The difference is related ONLY to the change in mass which changes the volume displaced when floating. The pebble sinking, however, displaces water only by its volume which weighs less than the pebble. This means if I have figured things correctly according to volumes and… [cont.] Answered by rowlfe - Fri Jan 23 21:04:09 2009 Can someone explain exactly how Archimedes approximated pi by inscribing a 12-gon in a circle, please? Q. What proportions did he use and how did he get them? Did he get an actual length (as in a number) of a side of the 12-gon? Thank you! Asked by slivsterx3 - Sun Jun 15 19:39:13 2008 - - 1 Answers - 0 Comments A. I don't know if this is exact enough for you but ... The idea is that the more sides you have on the polygon, the closer it is to a circle. So if you put a polygon inside the circle and another one outside the circle, the more sides you have the tighter they "squeeze" the circle. 12 is already pretty good. I wasn't there, but I presume he calculated actual lengths. Maybe he even measured them. See this picture. OAC is an equilateral triangle with side = r (radius of circle). Bisect it with radius OB. OAD is a right triangle 30-60-90 Using Pythagorean theorem, we can determine length OD. Which gives us DB (OD + DB = r). BAD is also a right triangle, so with DB and AD, and Pythagorean Theorem, we can find BA. That gives the… [cont.] Answered by MathMan TG - Sun Jun 15 21:09:02 2008 How many volumes on water displacement did Archimedes write ?
Q. and why didn't the ink dissolve? Asked by notpoodle - Tue Jul 7 10:39:00 2009 - - 7 Answers - 0 Comments A. None,,he was illiterate Answered by Happy Murcia - Tue Jul 7 10:48:13 2009 From Yahoo Answer Search: "archimedes" Archimedes of Syracuse (c. 287 BC – c. 212 BC) was a Greek mathematician, philosopher, scientist and engineer. Sourced
From Wikiquote under the GNU Free Documentation License. Go ahead and be childish
Wyoming Tribune ... the Paul Smith Children's Village at the Cheyenne Botanic Gardens, Josef, 4, put his entire body into turning the squeaky crank of the Archimedes screw. ... and more » Doppelanschlag auf den Mond
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162px x 110px | 7.70kB [source page] in a hot bath As I am lying here and the hot water soaks into my c old bones I can t help thinking of Mrs Archimedes who used to fill up her husband s bath right up to the brim Good old Mr Archimedes found that the water slopped over the sides when he jumped in and by weighing the amount of water spilt and weighing himself he discovered a formidable argument archimedes thinking jpg
160px x 147px | 5.20kB [source page] Eureka He found it What did he find who found it how did he find it All these questions can be answered looking at one man Archimedes Archimedes unquestionably one of the greatest From Yahoo Image Search: "archimedes" 312 BC Romans Burn Syracuse, Archimedes Fired
texphd Wed, 09 Sep 2009 02:14:32 GM First Teacher "Fired". 312 BC Greek mathematician, physicist, and astronomer . Archimedes. is killed when Romans burn Syracuse. The term, fired is coined. Greek children sent home early, without homework. Mr. Archimedes ' Bath by Pamela Allen Tricia's Children's ...
littlemissbookworm Mon, 24 Aug 2009 07:12:12 GM In the story, Mr. . Archimedes. sets out to find out what the water overflowed everytime he was in the bath. Ask the students why they think it is so. Conclusion. This is the retelling of the famous Achimedes story using familiar animal ... Archimedes and the Door of Science
RapidshareEbook Sat, 22 Aug 2009 07:07:00 GM "As a blind boy, still needing an upper-elementary level book on . Archimedes. , I was more than happily surprised to see what an absolute gem this book was! Well written, easily understood, yet not too basic...I highly recommended. ... From Google Blog Search: "archimedes" |






