First objective to be discussed is The life of Archimedes , where we can know when was the birth and the death of archimedes and what could be the reason of his death. This objective will just focus on the life of archimedes, when was the birth and the death of archimedes and as well as what archimedes contribute during the second punic war. The battle between the island of sicily in which the city of syracuse located and the Roman Empire.
The largest island in the mediterranean sea .
Sicily naturally became an object of contention. Self preservation demanded that the kings of Syracuse negotiate with the great powers, and as a result the small city-state often found itself allied with one against the other. Such was the case in 214 BC, when pro-Carthaginian factions within the city chose to side with Carthage against Rome. Shortly thereafter, legions of the Roman army sailed to Syracuse and laid siege to the city walls.
Well for me lang ha ,, I could compare archimedesto Rizal .. Because of his skills and abilities .. And also .. Because also of his patriotic attitude ..
During the childhood years, Archimedes was taught by his dad about math, astronomy, dynamics and machines. Generally, The father of archimedes was his first teacher. Just like Rizal, His mother was his first teacher .. hehehe
It is known that Archimedes spent some of his life in Alexandria, the center of scientific activity during his era. It was in Alexandria. Among the sciences cultivated in Alexandria were geometry, algebra, trigonometry, astronomy, astrology, geography, surveying, mechanics, and alchemy. The Alexandrians were generally specialists straying away from the old Greek philosophy that "all learning" is province 2.One of the first of the famous Alexandrian scholars was Euclid with his Elements of Geometry and it is suspected that while Archimedes was in Alexandria he studied with the pupils of Euclid. It is also assumed that while in Alexandria Archimedes became friends with the Conon of Samos and with Eratosthenes. After his study in alexandria …..
In fact, many of his inventions were created at Hieron’s request.It was also said by Plutarch that Archimedes was related to Hieron, King of Syracuse.Have you remembered the phrase, Eureka!, Eureka ??…………………………………………………………………….So much for that .. While Hieron was alive, the city of Syracuse was loyal to Rome providing defenses for southern Italy. It was with Hieron’s death in 215 B.C. that his grandson assumed rule of Syracuse and allied with Carthage. With this, Marcellus of Rome attacked Syracuse in an attempt to control Sicily
In such matter,archimedes invent many weapons against the roman army .. And that weapons would be discussed by Mr. Uraga, my co-reporter .. LaterBy the used of this weapons invented by Archimedes .. The roman army refused to attack until one day , when archimedes was so absorbed in solving geometric problem for his new inventions…. (next slide)so when archimedes was so absorbed his new invention and he did not noticed that … next slide
This would be the time that the syracuse was besieged by the roman army on 214 bce.
Accounts of his death has been told in various forms:Traditional StoryHe was absorbed in a geometrical problem whose diagram was drawn in the sand. As the shadow of an approaching Roman soldier fell over his diagrams, the agitated mathematician called out, “Don’t disturb my circles!” The soldier, insulted at having orders thus given to him, retaliated by drawing his sword
In his grief for the death of such a noble person, Marcellus erected an elaborate monument in Archimedes' honor and directed that he be honored with a burial. As requested by Archimedes, his friends and relatives placed on his tomb a representation of a cylinder circumscribing a sphere within it and an inscription stating the relationship between the two bodies (the volume of a sphere is equal to two thirds that of the circumscribing cylinder). From this, it can be inferred that Archimedes considered this his greatest achievement.
A legend goes that a king had ordered a new crown of solid gold, when he received his crown the king believed he had been cheated. The king asked Archimedes to help him find out if he had been cheated or not. After much thinking the idea of how to solve the problem came to Archimedes while he was getting into his bath. The story then says that Archimedes jumped out of the bathtub and ran down the street shouting eureka. What had happened is when Archimedes got into a full bathtub water was displaced and began flowing out. Archimedes got two bathtubs filled to the brim with water and first dropped an amount of silver equal in weight to the crown into the water. Then in the second tub he dropped an amount of gold equal in weight to the crown. Archimedes saw that the silver displaced more water than the gold because even though they are the same in weight they have a different volume. Archimedes then dropped the crown in a third tub and saw the crown displaced more water than the solid gold. Which means that the crown was not solid gold. This Discovery led to the development of Archimedes principle. Archimedes principle states that an object in a fluid is buoyed up by a force equal to the weight of the displaced fluid. Archimedes also did experiments with other devices like the lever that made it possible to lift weights many times greater than your own.
A legend goes that a king had ordered a new crown of solid gold, when he received his crown the king believed he had been cheated. The king asked Archimedes to help him find out if he had been cheated or not. After much thinking the idea of how to solve the problem came to Archimedes while he was getting into his bath. The story then says that Archimedes jumped out of the bathtub and ran down the street shouting eureka. What had happened is when Archimedes got into a full bathtub water was displaced and began flowing out. Archimedes got two bathtubs filled to the brim with water and first dropped an amount of silver equal in weight to the crown into the water. Then in the second tub he dropped an amount of gold equal in weight to the crown. Archimedes saw that the silver displaced more water than the gold because even though they are the same in weight they have a different volume. Archimedes then dropped the crown in a third tub and saw the crown displaced more water than the solid gold. Which means that the crown was not solid gold. This Discovery led to the development of Archimedes principle. Archimedes principle states that an object in a fluid is buoyed up by a force equal to the weight of the displaced fluid. Archimedes also did experiments with other devices like the lever that made it possible to lift weights many times greater than your own.While taking his bath on day, he noticed that that the level of the water in the tub rose as he got in, and he had the sudden inspiration that he could use this effect to determine the volume (and therefore the density) of the crown. In his excitement, he apparently rushed out of the bath and ran naked through the streets shouting, "Eureka! Eureka!" (“I found it! I found it!”). This gave rise to what has become known as Archimedes’ Principle: an object is immersed in a fluid is buoyed up by a force equal to the weight of the fluid displaced by the object.
The story says that the problem was presented to Archimedes causing considerable puzzlement. While pondering the problem he visited a public bath and noticed that the water in the tub rose in proportion to the amount that he immersed his body into it. This indicated a solution to the problem because Archimedes observed that by noting the difference in overflow when the crown and equal weights of gold or silver were immersed he would be able to distinguish if the crown were of pure gold.The story continues that Archimedes was so excited by the discovery that he ran through the streets naked shouting "eureka, eureka!" (I have found it, I have found it!).6
The Archimedes screw was perhaps Archimedes best known invention and often listed among the great ancient inventions. Best known because we know it worked - and worked well.As the story goes King Hieron II commissioned Archimedes to design a huge naval warship, the Syracusia. It was purported to be the largest ship built in classical antiquity.Since a ship of this size would leak a considerable amount of water through the hull, the Archimedes screw was purportedly developed in order to remove the bilge water.Archimedes' screw pump was simple and elegant. It had a revolving screw-shaped blade inside a cylinder and could be turned by hand.Why is the Archimedes screw listed as one of the greatest inventions? It is still in use today for pumping liquids and granulated solids such as coal and grain, in both the industrialized world and in the third world - where it is a preferred way to irrigate agricultural fields without electrical pumps
This is perhaps his most significant invention where Archimedes designed a structure that allowed water from a low lying plain to reach irrigation canals without laborious effort. The SS Archimedes was a ship named after the great inventor, which was the first steamship to come with a screw propeller. It was first called the Egyptian screw since Archimedes had been to Egypt on a visit from Syracuse. King Hiero II wanted Archimedes to design a huge ship that could hold an approximate of 600 people, complete with a gymnasium, temple, and garden-like interiors. When bilge water accumulated to a point where it became too deep (on the ship Syracusia), a man could pump out the water using the same screw design (fitted within a cylindrical structure) by Archimedes.
The account of this invention is vague, in the sense that it doesn't fully explain exactly how Archimedes designed the final structure. There are many variations of the 'iron claw' which Archimedes designed and had consequently constructed in order to ward off attacking ships. The mechanism of the iron claw was to upturn ships that approached the walls of Syracuse, where it would be lowered into the sea from a height. Once the claw fastened itself to the ship's underbelly, it would be tugged in an upward fashion. Once they were released, the ships would either fall to their sides or be dropped from a height that forced it to sink.
Archimedes as previously mentioned, came up with a way to defend the city of Syracuse by inventing the iron claw. Likewise, he came up with a way of erecting large mirrors placed at designated locations on land while positioning them in such a way that it targeted enemy ships at sea. Once the sunbeams reflected off the mirror, it ignited the enemy ships within moments. There are those that say such a thing may not have been possible since this method would only prove effective if weather conditions suited the mechanism's working. Others who tried to confirm the invention's usage, found that a ship at a distance couldn't be ignited - 400 ft. away to be exact. One such experiment was done by IoannisSakkas, a Greek scientist, who placed 70 mirrors around a Roman ship mock-up, which immediately burst into flames when the sun's light was concentrated. It was 160 ft. away and coated in tar paint which may have been the reason behind it being so flammable. Because tar paint was used frequently as a coating on ships back in the day, it made the existence of the invention highly probable.
This great scientist and mathematician passed away but his contributions led the world towards scientific development and betterment of the human race.
Archimedes of Syracuse
'Eureka' which means - I have
• The Life of Archimedes.
• Illustrate the different inventions
developed by Archimedes.
• Identify the different mathematical
concept he developed.
born around 287 B.C. in
the Greek city-state of
Syracuse on the island
He was known as
engineer, inventor and
Archimedes was the son of
an astronomer known for his
investigations into the sizes
and distances of the sun and
Older Life of Archimedes
• Archimedes was
educated at the
museum in Alexandria
Egypt where historians
believe that he may
have studied under the
former students of
Euclid, another ancient
Older life of Archimedes
• Archimedes didn‟t get
any job, he just spends
his whole life to invent,
discover and experience
and devoted his life to
the study of
• It seemed that it was
the devotion to King
Hieron II that induced
Archimedes to divert his
When the Sicily
Roman army, he
tried to help the
• The City was Besieged by the Romans
for three years beginning in 214 BCE.
Death of Archimedes
• He died around 212
B.C. at the age of 75.
• Some people may
already know that
Archimedes was killed
by Roman soldier. In a
myth Archimedes was so
absorbed in his new
invention and he didn‟t
know that Sicily island
Death of Archimedes
• Roman general said to soldiers that do
not kill Archimedes and bring him alive
however when the soldier found him
and tried to bring him to Roman camp
he said the famous word “do not
disturb my circles” so the soldier
killed him. When the general heard
that, the general killed that soldier.
The Tomb of Archimedes
• The tomb of Archimedes
carried a sculpture
illustrating his favorite
a sphere and
a cylinder of the same
height and diameter.
Archimedes had proven
that the volume and
surface area of the
sphere are two thirds
that of the cylinder
The second Objective
Illustrate the different inventions
developed by Archimedes.
King Hieron II had given the
goldsmith a particular amount of gold
to melt down and make into a crown.
When the crown was made and
returned to the king, the king was
suspicious that the goldsmith had
stolen some of the gold and replaced
it with an equal weight of silver.
The king turned to Archimedes for
Archimedes happened to go
to the bath, and on getting
a tub observed that the
more water ran out over
the tub. As this pointed
out the way to explain the
case in question, he jumped
out of the tub and rushed
home naked, crying with a
loud voice that he had
found what he was seeking;
for he, as he ran, shouted
repeatedly in Greek,
meaning “I have found it.”
THE LAW OF LEVER
• Archimedes did not invent the lever,
however he gave an explanation about the
• Earlier descriptions of the lever are found
in the Peripatetic school of the followers
• According to Pappus of Alexandria,
Archimedes' work on levers caused him to
remark: "Give me a place to stand on, and
I will move the Earth.“
• Plutarch describes how Archimedes
designed block-and-tackle pulley systems,
• A machine for raising water, allegedly
invented by Archimedes for removing
water from the hold of a large ship.
One form consists of a circular pipe
enclosing a helix and inclined at an
angle of about 45 degrees to the
horizontal with its lower end dipped in
the water; rotation of the device
causes the water to rise in the pipe.
Other forms consist of a helix revolving
in a fixed cylinder or a helical tube
wound around a shaft.
• Modern screw pumps, consisting of
helices rotating in open inclined
troughs, are effective for pumping
sewage in wastewater treatment
plants. The open troughs and the
design of the screws permit the
passage of debris without clogging.