Archimedes was one of the greatest philosophers who lived from 287 BC to 211 BC in Syracuse. Archimedes was a physicist, astronomer, engineer and mathematician who discovered and invented machines such as the Archimedean screw, Archimedes principle, Archimedean spiral, Archimedes claw, planetarium, compound pulley system and many war machines. His greatest contributions were in geometry and his methods and ideas started the idea of calculus and finding the density of an object without damaging the object.

Archimedes was asked by a king, one day to find out if his crown was made out of pure gold without damaging it. Before Archimedes came up with the concept of the Archimedes principle, the only way to find out if things were made out of pure gold was they would have to melt the item. To figure if the crown was made of pure gold Archimedes used the Archimedes’s principle. Archimedes’s principle states that a body immersed in a fluid experiences a buoyant force equal to the weight of the displaced fluid. The Archimedes screw was a machine with a revolving screw shaped blade inside a cylinder which would pump water threw it. The Archimedes screw was created when Archimedes was studying in Egypt and is still used today in Egypt. The Archimedean screw helped the Egyptians pump water out of rivers and helped pump water back into the ocean when hurricane Katrina hit New Orleans. Another weapon made by Archimedes was the claw that was a crane like arm with a hook that would drop on an attacking ship, swing upwards lifting the ship out of the water and possibly even sinking the ship. Machines of war created by Archimedes helped Syracuse defeat the attack of Roman fleets. The catapults, levers, and pulleys were also created to help defeat the Romans when they tried to attack Syracuse.

Archimedes early advances in mathematics included the first known outline of infinite series which is still used today. Archimedes determined that the area of a circle was equaled to...

...the son of an astronomer, Phidias, in 287 B.C., Archimedes' education began as a young man in Syracuse. He furthered his education in Alexandria, where he studied with fellow scholar Conon, an Egyptian mathematician.
What we know of Archimedes comes from his personal works as well as those of Cicero and Plutarch. However, "due to the length of time between Archimedes' death and his biographers' accounts, as well as inconsistencies among their writings, details of his life must remain subject to question" (Galenet 1).
It is doubtless that Archimedes was the greatest geometer of his time, and he has not been paralleled since then. To imagine just how much knowledge he discovered, and the amount of intelligence he must have had to discover it, is practically impossible. "Archimedes' contributions to mathematical knowledge were diverse" (Galenet 1). He discovered the concepts of Pi, the area of a circle, wrote principles on plane/solid geometry, and developed a somewhat rudimentary form of calculus.
In his dealings with plane geometry, Archimedes wrote several treatises, three of which survive today: Measurement of a Circle, Quatdrature of the Parabola, and On Spirals. It is in Measurements of a Circle that Archimedes reveals how he calculated Pi.
Pi was found by using a theoretically simple method. Pi represents the number 3.14... In turn, 3.14 represents the circumference...

...Archimedes’ Principle
Abstract
The purpose of this experiment was to investigate the Archimedes’ Principle for objects of different densities and use the principle to determine the density of a golf ball. The weight of rubber stopper and the wood cube were measured in the air by using the force sensor. When the objects were submerged in the water, the apparent weight of the objects was measure with the force sensor and the volume of the displaced water were measure with a graduated cylinder. These same procedure was used to obtain weight and apparent weight of the golf ball. The weight of the displaced water when the rubber stopper was submerged was 1.94 N. Buoyant force obtained was 1.96 N and 2.14 N with a percent discrepancy of 0.97% and 9.30% respectively. The weight of the displaced water by the object was 1.14 N. The buoyant force was 1.14 N and 1.24 N with a percent discrepancy of 0.0% and 8.39%, respectively. The density of the golf ball was 1201.50 kg/m3. The theoretical values of the golf ball was 1130 kg/m3. The percent discrepancy was 6.19%. The percent discrepancy between the predicted mass and the experimental mass of the beaker, water, and golf ball was 0.056% which indicates an accurate prediction. The objective of the experiment was successfully met, investigators were able to confirm that the object is buoyed up by a force equal to the weight of the water displaced by the object.
Objective
The purpose of...

...Title:
Archimedes principle
Objective:
To use Archimedes Principle to determine the density of an object more dense than water.
Introduction:
Archimedes' principle is a law of physics stating that the upward force (buoyancy) exerted on a body immersed in a fluid is equal to the weight of the amount of fluid the body displaces. In other words, an immersed object is buoyed up by a force equal to the weight of the fluid it actually displaces. Hence, the buoyant force on a submerged object is the same with the weight of the fluid displaced. The weight of the displaced fluid is directly proportional to the volume of the displaced fluid (if the surrounding fluid is of uniform density). In simple terms, the principle states that the buoyant force on an object is going to be equal to the weight of the fluid displaced by the object, or the density of the fluid multiplied by the submerged volume times the gravitational constant, g. Thus, among completely submerged objects with equal masses, objects with greater volume have greater buoyancy. In this experiment, to calculate the density, we can use two methods:direct and indirect measurement. Direct measurement is used to calculate the mass and volume of object eg. magnet bar, pendulum bob and marble by using vernier calipers. By finding the density, we could determine the specific gravity of the object(the ratio of its density versus that of water, ρwater=1000kg/m3).
ρ=m/█(v@ )...

..."Give me a lever long enough and a place to stand, and I will move the world."
Archimedes
By Alex Christopher
Archimedes was a mathematician, physicist, engineer, inventor and astronomer in ancient Greece. He was born in 287 BC and lived until 212 BC in Syracuse, Sicily where he lived his whole life, except for when he went to school. Archimedes father was an astronomer and the family was related to the king of Syracuse. His family had money so they were able to afford to send him to school. When he became a teenager, he studied in Alexandria, Egypt in school that was run by students of Euclid. Euclid was known as the father of geometry which helped Archimedes learn about how to calculate angles for his inventions. There is not a lot of information about Archimedes personal life, like whether he was married or had children. He was killed during the battle of Syracuse when the Romans invaded. Even though there were orders to not kill Archimedes, he was killed by a soldier who didn’t know him.
Archimedes made a lot of contributions and is considered one of the greatest mathematicians of all times. He invented machines to protect Syracuse, pulley systems, the Archimedean screw, the planetariums and Archimedes mirror. The Archimedes mirror is also called the Death Ray and is supposed to have caught passing Roman ships on fire during...

...Archimedes Background/Upbringing
Archimedes was one of the most known and respected mathematicians of ancient Greece. He was born between the years of 290 and 280 BCE in Syracuse, Sicily which is currently known as Italy. His death took place in Syracuse, Sicily between the years of 212 and 211 BCE. In autumn of 212 or the spring of 211 Syracuse was taken over by Roman General Marcus Claudius Marcellus (Encyclopedia Britannica, n.d). It was during the cities take over that Archimedes was killed. There is rumors about what lead up to a Roman solider killing him. Some historians believe his death was due to Archimedes not willing to give up his mathematical diagrams of mirrors that would burn the Roman ships. The exact years of his birth and death are uncertain, but Greek historian John Tzetes believes he lived to be 75 years old (“Archimedes”, n.d). Archimedes father was named Phidias who was an astronomer. His mother’s name is unknown, but there is belief that Archimedes is related to the Ruler of Syracuse King Hiero II. There are currently not many documents of Archimedes upbringing. In fact there is only one record of his life that was written by his friend Heracleides. Unfortunately this biography was lost.
Education
Archimedes was not only a mathematician but also a physicist, engineer, inventor, and astronomer...

...Archimedes (287 BC- 212 BC)
When people discuss the achievements of the greatest mathematicians of all time, a name that always comes up is Archimedes. Archimedes was a Greek mathematician astronomer, philosopher, physicist and engineer. He had a reputation in his own time that very few other mathematicians of this period achieved. He is considered by most historians of mathematics as one of the greatest mathematicians of all. His nicknames were, "the wise one", "the master", and "the great geometer." He is credited with a number of important inventions, such as the pi, which is extremely important in mathematical calculations. Other theorems and inventions are attributed to him such as the Archimedes screw, compound pulleys and the lever.
Archimedes was probably born around 287 BC. Archimedes spent most of his life in Syracuse, the principal city-state in Sicily. Archimedes published his works as letters and correspondence with the other great mathematicians of his time, including the Alexandrian scholars Conon of Samos and Eratosthenes of Cyrene. Some of the works which have survived throughout time are the following: On plane equilibriums (two books), Quadrature of the Parabola, On the Sphere and Cylinder (two books), On Spirals, On Conoids and Spheroids, On Floating Bodies (two books), Measurement of a Circle, and The Sandreckoner. There may have been other works...

...
The Life of ArchimedesArchimedes was a Greek mathematician, a scientist, and a skilled inventor who was born around 287 B.C. in the seaport city of Syracuse, Sicily. It has been said that since his father was an astronomer, Archimedes inherited his fathers interest for mathematics, science, and inventions, however his biggest interest was in Geometry. In his lifetime not only was he was able to create a ton of helpful inventions, he also discovered how to find the volume of a sphere, determine the exact value of Pi, created the Principle of Buoyancy, and also created Scientific Notation (Powers of Ten). He took great pride in his work and there were times where he became so in depth with his work, he often forgot to bathe or eat and some would say his real hunger was to learn! Archimedes became famous for many things and he has come to be known as one of the biggest contributors to today's mathematics. He was often called “the wise one”, “the master”, and also “the great geometer” by his peers.
One of Archimedes' many accomplishments was “The Archimedes Screw” which was created to fulfill the needs of his king and good friend, King Hieron II. Archimedes was his military adviser and his job was to create useful tools as well as build things. One day King Hieron commissioned Archimedes to design a luxury ship of sorts which came to be known as “The...

...Philippines
EXPERIMENT NO. 1
ARCHIMEDES PRINCIPLE
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Archimedes Principle
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Abstract:
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Sophomore students from Occupational Therapy in De La Salle Health Sciences Institute had conducted an experiment concerning Archimedes’ Principle to determine the density of solids and liquids usingArchimedes’ Principle. For the density of solids, they had made use of spring balance to measure the mass of the metal samples, which were tied via string, in air and when immersed inside a 2000mL beaker, where H2O lies. They had computed the density of each sample metal using the formula: ϱs = maϱw / ma - mw and computed a percentage error. As for the density of liquids, they had filled a graduated cylinder with 250mL liquid sample and had immersed a hydrometer. They had immersed a sample metal in the liquid sample and had measured its mass in air and beneath the liquid. They also had measured the volume of displaced liquid as the metal sample is immersed in the liquid and had computed the density using the formula: ϱL = WaWL / gV, and the percentage error after. They had been successful to support the theory of Archimedes and had came up with percentage error ranging from 5.76% to 9.91%.
Introduction:
Tradition tells us that the king was suspicious about...