what problems did archimedes face

Archimedes only had 1 obstacle, the Roman soldiers tried to kill him and his family. This resulted in him having to stop his studies and run from the soldiers. Archimedes made many inventions before his death, such as the Archimedes Screw and the Archimedes Claw (Used to protect the city of Syracuse).

Full Answer

What problem did Archimedes face when he was trying to solve?

If the wreath was pure gold, it would have a certain density. If it was made of a mixture, the density would be different. However, in order to find the density of the wreath, its volume must be determined. This was the problem Archimedes faced. After thinking about it for a while, Archimedes then took a bath to find a solution to the problem.

What is Archimedes cattle problem?

Attributed to Archimedes, the problem involves computing the number of cattle in a herd of the sun god from a given set of restrictions. The problem was discovered by Gotthold Ephraim Lessing in a Greek manuscript containing a poem of 44 lines, in the Herzog August Library in Wolfenbüttel, Germany in 1773.

What was Archimedes early life like?

The Life of Archimedes: Syracuse and Alexandria. Born in Syracuse on the island of Sicily in 287 BC, Archimedes was the son of an astronomer and mathematician named Phidias. Very little is known about his family, early life, and schooling other than that he was educated in Alexandria, Egypt, then the chief center of Greek learning.

What happened to Archimedes in 212 BC?

“Archimedes died in 212 B.C. during the Second Punic war, when Syracuse was captured by the Roman forces after a two year siege.” Archimedes was researching a mathematical diagram, when a Roman soldier ordered him to meet General Marcus (who was engaged in the siege of Syracuse). But Archimedes refused saying that he had to finish his diagram.

What did Archimedes struggle with?

Archimedes became the king's personal problem solver. Whatever problem the king had, Archimedes would attempt to find a solution. Sometimes Archimedes would struggle in finding a solution. He would then reject food or drink just to excel in his studies and discoveries.

What was happening during Archimedes time?

At around 260 B.C, at the age of 27, Archimedes went to the King and explain the importance of pulleys and levers. Though this information was known and were most likely basic tools, with his explanations of the potential that these tools possessed initiated the work that lead to more advanced levers and pulleys.

What was going on when Archimedes was alive?

Archimedes is one of the most famous scientists of the ancient world....Key events during the life of Archimedes:YearEvent213 BCRome begins to besiege Syracuse, but is hindered by Archimedes War machines.212 BCDied after the siege of Syracuse during the Second Punic war.2 more rows

Why was Archimedes killed by a Roman soldier?

One story told about Archimedes' death is that he was killed by a Roman soldier after he refused to leave his mathematical work. However Archimedes died, the Roman general Marcus Claudius Marcellus regretted his death because Marcellus admired Archimedes for the many clever machines he had built to defend Syracuse.

Who invented math?

The earliest evidence of written mathematics dates back to the ancient Sumerians, who built the earliest civilization in Mesopotamia. They developed a complex system of metrology from 3000 BC.

Who is the father of math?

ArchimedesIt was Archimedes. You may also know him as the father of mathematics.

Who invented zero?

"Zero and its operation are first defined by [Hindu astronomer and mathematician] Brahmagupta in 628," said Gobets. He developed a symbol for zero: a dot underneath numbers.

Who invented calculus?

Today it is generally believed that calculus was discovered independently in the late 17th century by two great mathematicians: Isaac Newton and Gottfried Leibniz.

Why did Archimedes invent math?

A great scientist, physician, mathematician, and engineer of ancient Greece - Archimedes utilized maths in order to explain the mechanics of daily life. He contributed a number of revolutionary tools, like the lever and the screw, through his mathematical works and explorations.

What did Archimedes say before he died?

The last words attributed to Archimedes are "Do not disturb my circles" (Latin, "Noli turbare circulos meos"; Katharevousa Greek, "μὴ μου τοὺς κύκλους τάραττε"), a reference to the circles in the mathematical drawing that he was supposedly studying when disturbed by the Roman soldier.

What were Archimedes last words?

Dont disturb my circles (Archimedes probably said: Noli turbare circulos meos!) Archimedes of Syracuse (287 – 212) BC last words before he was killed by a roman soldier.

Who is the mother of math?

Noether's mathematical work has been divided into three "epochs"....Emmy NoetherScientific careerFieldsMathematics and physicsInstitutionsUniversity of Göttingen Bryn Mawr College11 more rows

What was Archimedes early life like?

Archimedes was born in Syracuse on the eastern coast of Sicily and educated in Alexandria in Egypt. He then returned to Syracuse, where he spent most of the rest of his life, devoting his time to research and experimentation in many fields.

What did Archimedes discover?

Perhaps his best-known achievement was his "Eureka" moment, when he discovered the principle of buoyancy.

What war machines did Archimedes invent?

Archimedes War Machines: The Giant Claw, Catapults, and Death Ray.

How did Archimedes contribute to mathematics?

Quick Info. Archimedes was the greatest mathematician of his age. His contributions in geometry revolutionised the subject and his methods anticipated the integral calculus. He was a practical man who invented a wide variety of machines including pulleys and the Archimidean screw pumping device.

What was Archimedes’ profession? When and how did it begin?

Archimedes was a mathematician who lived in Syracuse on the island of Sicily. His father, Phidias, was an astronomer, so Archimedes continued in th...

What accomplishments was Archimedes known for?

Archimedes found that the volume of a sphere is two-thirds the volume of a cylinder that encloses it. He also discovered a law of buoyancy, Archime...

What specific works did Archimedes create?

Archimedes wrote nine treatises that survive. In On the Sphere and Cylinder, he showed that the surface area of a sphere with radius r is 4πr2 and...

What is known about Archimedes’ family, personal life, and early life?

Almost nothing is known about Archimedes’ family other than that his father, Phidias, was an astronomer. The Greek historian Plutarch wrote that Ar...

Where was Archimedes born? How and where did he die?

Archimedes was born about 287 BCE in Syracuse on the island of Sicily. He died in that same city when the Romans captured it following a siege that...

What is the most widely known anecdote about Archimedes?

The most widely known anecdote about Archimedes tells of how he invented a method for determining the volume of an object with an irregular shape. According to Vitruvius, a votive crown for a temple had been made for King Hiero II of Syracuse, who had supplied the pure gold to be used; Archimedes was asked to determine whether some silver had been substituted by the dishonest goldsmith. Archimedes had to solve the problem without damaging the crown, so he could not melt it down into a regularly shaped body in order to calculate its density .

How long did Archimedes live?

The date of birth is based on a statement by the Byzantine Greek historian John Tzetzes that Archimedes lived for 75 years before his death in 212 BC. In the Sand-Reckoner, Archimedes gives his father's name as Phidias, an astronomer about whom nothing else is known.

What did Archimedes use to burn ships?

Archimedes may have used mirrors acting collectively as a parabolic reflector to burn ships attacking Syracuse. The 2nd century AD author Lucian wrote that during the siege of Syracuse (c. 214–212 BC), Archimedes destroyed enemy ships with fire.

What is the claw of Archimedes?

The Claw of Archimedes is a weapon that he is said to have designed in order to defend the city of Syracuse. Also known as "the ship shaker", the claw consisted of a crane-like arm from which a large metal grappling hook was suspended. When the claw was dropped onto an attacking ship the arm would swing upwards, lifting the ship out of the water and possibly sinking it. There have been modern experiments to test the feasibility of the claw, and in 2005 a television documentary entitled Superweapons of the Ancient World built a version of the claw and concluded that it was a workable device.

Why was Cicero's tomb placed on Archimedes' tomb?

Cicero describes visiting the tomb of Archimedes, which was surmounted by a sphere and a cylinder, which Archimedes had requested be placed on his tomb to represent his mathematical discoveries. Unlike his inventions, the mathematical writings of Archimedes were little known in antiquity.

Where was the Archimedes heat ray experiment?

The experiment took place at the Skaramagas naval base outside Athens. On this occasion 70 mirrors were used, each with a copper coating and a size of around 5 by 3 feet (1.52 m × 0.91 m).

Who was Archimedes of Syracuse?

287 – 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.

Why did Archimedes take a hot bath?

The story goes that Archimedes decided to take a hot bath to help his mind relax and find a solution to this problem . When he noticed the water rise as he got into the tub, Archimedes suddenly realized the solution.

What did Archimedes determine about the wreath?

By comparing the wreath's density with the known density of gold, Archimedes determined that the wreath was not made of pure gold.

What was Archimedes' solution to the irregularly shaped wreath?

One solution Archimedes proposed was to crush the irregularly shaped wreath into a cube to determine its volume. He could measure its mass to determine its density.

How did Archimedes determine the mass of the gold wreath?

By measuring the volume of the water and the mass of the wreath, Archimedes was able to determine its mass. Unfortunately for the goldsmitth, the density of the wreath showed that it was not pure gold. He was robbing the king and was probably punished for the crime.

What is Archimedes' cattle problem?

Archimedes's cattle problem (or the problema bovinum or problema Archimedis) is a problem in Diophantine analysis, the study of polynomial equations with integer solutions. Attributed to Archimedes, the problem involves computing the number of cattle in a herd of the sun god from a given set of restrictions.

Where was the problem of the number of lines in the poem discovered?

The problem was discovered by Gotthold Ephraim Lessing in a Greek manuscript containing a poem of forty-four lines, in the Herzog August Library in Wolfenbüttel, Germany in 1773. The problem remained unsolved for a number of years, due partly to the difficulty of computing the huge numbers involved in the solution.

Who published the problem of the German translations?

The problem, from an abridgement of the German translations published by Georg Nesselmann in 1842, and by Krumbiegel in 1880, states:

How many unknowns are there in the number of white, black, dappled, and yellow bulls?

If the number of white, black, dappled, and yellow bulls are written as. which is a system of seven equations with eight unknowns. It is indeterminate, and has infinitely many solutions.

What was Archimedes' greatest impact on later mathematicians?

The greatest impact of Archimedes’ work on later mathematicians came in the 16th and 17th centuries with the printing of texts derived from the Greek, and eventually of the Greek text itself , the Editio Princeps, in Basel in 1544.

What were Archimedes' mathematical achievements?

Given the magnitude and originality of Archimedes’ achievement, the influence of his mathematics in antiquity was rather small. Those of his results that could be simply expressed—such as the formulas for the surface area and volume of a sphere—became mathematical commonplaces, and one of the bounds he established for π, 22/7, was adopted as the usual approximation to it in antiquity and the Middle Ages. Nevertheless, his mathematical work was not continued or developed, as far as is known, in any important way in ancient times, despite his hope expressed in Method that its publication would enable others to make new discoveries. However, when some of his treatises were translated into Arabic in the late 8th or 9th century, several mathematicians of medieval Islam were inspired to equal or improve on his achievements. That holds particularly in the determination of the volumes of solids of revolution, but his influence is also evident in the determination of centres of gravity and in geometric construction problems. Thus, several meritorious works by medieval Islamic mathematicians were inspired by their study of Archimedes.

What method did Archimedes use?

Learn More in these related Britannica articles: mathematics: Archimedes. Archimedes was most noted for his use of the Eudoxean method of exhaustion in the measurement of curved surfaces and volumes and for his applications of geometry to mechanics.

Who translated Archimedes' work?

The Latin translation of many of Archimedes’ works by Federico Commandino in 1558 contributed greatly to the spread of knowledge of them, which was reflected in the work of the foremost mathematicians and physicists of the time, including Johannes Kepler (1571–1630) and Galileo Galilei (1564–1642).

Who was the most influential mathematician of the 17th century?

David Rivault’s edition and Latin translation (1615) of the complete works, including the ancient commentaries, was enormously influential in the work of some of the best mathematicians of the 17th century, notably René Descartes (1596–1650) and Pierre de Fermat (1601–65).

How did Archimedes die?

Archimedes died in 212 BC at the age of 75, when Syracuse was captured by Roman forces. Legend says that he was working on a math problem when a Roman soldier ordered him to meet with his commander. Archimedes reportedly refused to do so - which angered the soldier who killed Archimedes on the spot.

How did Archimedes help repel the Romans?

Archimedes helped repel the Romans with his brilliant inventions. He fortified the city walls with military contraptions such as catapults and ballistas, which could fire projectiles long distances and attack enemy ships. These weapons were used in battle and enabled Syracuse to hold out against Rome for about three years.

What was Archimedes' invention?

Archimedes is best known for his inventions created during the reign of King Hiero II, such as the Archimedes screw . Originally developed by the ancient Egyptians, it was a device used to raise water from a lower to higher level. Archimedes improved upon that creation.

What is the Archimedes screw used for?

Today, the Archimedes screw is still in use as a method of irrigation in developing countries. It is also used to lift loose materials, such as grains. The Archimedes Screw. ( Public Domain )

Where was Archimedes born?

Born in Syracuse on the island of Sicily in 287 BC, Archimedes was the son of an astronomer and mathematician named Phidias. Very little is known about his family, early life, and schooling other than that he was educated in Alexandria, Egypt - the chief center of Greek learning at that time. Alexandria is where Archimedes studied with disciples ...

How were Roman ships sunk?

At the same time huge beams were run out from the walls so as to project over the Roman ships: some of them were then sunk by great weights dropped from above, while others were seized at the bows by iron claws or by beaks like those of cranes, hauled into the air by means of counterweights until they stood upright upon their sterns, and then allowed to plunge to the bottom, or else they were spun round by means of windlasses situated inside the city and dashed against the steep cliffs and rocks which jutted out under the walls, with great loss of life to the crews. Often there would be seen the terrifying spectacle of a ship being lifted clean out of the water into the air and whirled about as it hung there, until every man had been shaken out of the hull and thrown in different directions, after which it would be dashed down empty upon the walls.

Where is the Palimpsest manuscript?

Called a “ palimpsest ”, the manuscript began its new life at the Mar Saba monastery in the Judean desert in the Middle East , where Archimedes' work was unread and unknown for centuries. The palimpsest would turn up again rather mysteriously in a library in Constantinople in 1906, before it went missing again - until it was auctioned off in New York in 1998. Today, this book is the sole surviving source for two works by Archimedes, which are now fully legible through imaging technology.

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