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Short note on archimedese
Research paper on archimedes
Short note on archimedese
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Born 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 of a circle. In order to find this number, Archimedes started with the obvious: draw a circle.
In this circle, he drew a six-sided polygon, with each vertex touching part of the circle. Similarly, he drew a hexagon on the outside of the circle, with each segment's midpoint touching part of the circle. He calculated the perimeters of both figures. Arch...
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...subject of arithmetic, Archimedes wrote several essays, the only one of which surviving is The Sand Reckoner. In the essay, Archimedes proposed ways of determining the number of grains of sand in the universe.
While the problem of sand was never solved, Archimedes has been found to be that one grain of sand in the universe that stands out against the rest. His greatness is still observed and learned about today by millions of students and scholars alike, all hoping for a glimpse into the mind of a genius.
With history being such an inconstant, it is left to us to wonder if Archimedes was truly so magnanimous, and it is also left to us to hope that one day the rest of his works will be recovered. If such a small portion of surviving information could sway the world to such a magnitude, imagine how different our world would be if the rest of his works were uncovered.
Bragg, Melvyn, On Giants' Shoulders: Great Scientists and Their Discoveries from Archimedes to DNA. New York: John Wiley & Sons, 1998.
Geometry, a cornerstone in modern civilization, also had its beginnings in Ancient Greece. Euclid, a mathematician, formed many geometric proofs and theories [Document 5]. He also came to one of the most significant discoveries of math, Pi. This number showed the ratio between the diameter and circumference of a circle.
In the second meditation of Descartes, he continues his topic about doubt and certainty. And he doubts that nothing is certain and wanted to use the Archimedes’s methods – “Demand just one firm and immovable point in order to shift the entire earth.” (Descartes, p394) - to make something certain. And the starting point is to find at least one thing that he can assure is “certain and unshakeable” (Descartes, p354).
Hippocrates taught in Athens and worked on squaring the circle and also worked on duplicating the cube. He grew far in these areas and although his work is not lost, it must have contained much of what Euclid later included in Books One and Two of the Elements.
Archimedes was labeled as one of the top scientists in classical antiquity. In those times, when blackboards and paper were not yet around, Archimedes constructed ashes, dust or any available surface to help sketch his geometric figures. It’s been told that he used to get so intrigued with all of the work he did that sometimes he forgot to eat, skipped a meal or two just to finish the project. He was considered the greatest mathematician in antiquity and possibly the greatest of all time. Once, King Hiero II ordered a gold crown and was suspicious that the crown was not only made of pure gold, but also some silver was suspected to be included in this crown.
in 212 B.C. at the age of 75 in Syracuse. It is said that he was killed
Sophocles was born around 496 B.C. in the rural area of Hippeious Colonus, Attica, near Athens. His father was an wealthy armor manufacturer (“Sophocles”). Sophocles was educated in music, dancing, and athletics.
Pi occurs in various mathematical calculations. The circumference (c) of a circle can be determined by multiplying the diameter (d) by : c = d. The area (A) of a circle is determined by the square of the radius (r): A = r2. Pi is applied to mathematical problems involving the lengths of arcs or other curves, the areas of ellipses, sectors, and other curved surfaces, and the volumes of solids. It is also used in various formulas of physics and engineering to describe such periodic phenomena as the motion of pendulums, the vibration of strings, and alternating electric currents.
Parmenides was a very important philosopher. His influences on later philosophers are easily documented as many of them commented on his beliefs and philosophies. His philosophies laid a foundation for future questioning about the basic make-up of our universe.
Euclid and Archimedes are two of the most important scientists and mathematicians of all time. Their achievements and discoveries play a pivotal role in today’s mathematics and sciences. A lot of the very basic principles and core subjects of mathematics, physics, engineering, inventing, and astronomy came from the innovations, inventions, and discoveries that were made by both Euclid and Archimedes.
Carl Friedrich Gauss was born April 30, 1777 in Brunswick, Germany to a stern father and a loving mother. At a young age, his mother sensed how intelligent her son was and insisted on sending him to school to develop even though his dad displayed much resistance to the idea. The first test of Gauss’ brilliance was at age ten in his arithmetic class when the teacher asked the students to find the sum of all whole numbers 1 to 100. In his mind, Gauss was able to connect that 1+100=101, 2+99=101, and so on, deducing that all 50 pairs of numbers would equal 101. By this logic all Gauss had to do was multiply 50 by 101 and get his answer of 5,050. Gauss was bound to the mathematics field when at the age of 14, Gauss met the Duke of Brunswick. The duke was so astounded by Gauss’ photographic memory that he financially supported him through his studies at Caroline College and other universities afterwards. A major feat that Gauss had while he was enrolled college helped him decide that he wanted to focus on studying mathematics as opposed to languages. Besides his life of math, Gauss also had six children, three with Johanna Osthoff and three with his first deceased wife’s best fri...
Democritus was the leader of a group called Atomists. Although they were unable to prove that matter was made up of small particles, they were the first to come up with the idea. Democritus believed that atoms differed in size, shape, and movement but were all made of the same substances. Aristotle was the most important scientific philosopher in Greece. He believed that all matter on earth consisted of four pure substances or elements, which were earth, air, fire, and water. He also believed that the earth was the centre of the universe, and that anything beyond the earth consisted of a fifth pure substance called quintessence. Archimedes was an inventor and mathematician, who discovered several basic scientific principles and developed a number of measuring techniques. Ptolemy was an Egyptian astronomer. He developed a model for predicting the positions of the sun, moon, stars, and planets. Like Aristotle, he believed that the earth was the center of the universe. Between 400 AD. and 1000 AD.
There are many people that contributed to the discovery of irrational numbers. Some of these people include Hippasus of Metapontum, Leonard Euler, Archimedes, and Phidias. Hippasus found the √2. Leonard Euler found the number e. Archimedes found Π. Phidias found the golden ratio. Hippasus found the first irrational number of √2. In the 5th century, he was trying to find the length of the sides of a pentagon. He successfully found the irrational number when he found the hypotenuse of an isosceles right triangle. He is thought to have found this magnificent finding at sea. However, his work is often discounted or not recognized because he was supposedly thrown overboard by fellow shipmates. His work contradicted the Pythagorean mathematics that was already in place. The fundamentals of the Pythagorean mathematics was that number and geometry were not able to be separated (Irrational Number, 2014).
The 17th Century saw Napier, Briggs and others greatly extend the power of mathematics as a calculator science with his discovery of logarithms. Cavalieri made progress towards the calculus with his infinitesimal methods and Descartes added the power of algebraic methods to geometry. Euclid, who lived around 300 BC in Alexandria, first stated his five postulates in his book The Elements that forms the base for all of his later Abu Abd-Allah ibn Musa al’Khwarizmi, was born abo...
Euclid, also known as Euclid of Alexandria, lived from 323-283 BC. He was a famous Greek mathematician, often referred to as the ‘Father of Geometry”. The dates of his existence were so long ago that the date and place of Euclid’s birth and the date and circumstances of his death are unknown, and only is roughly estimated in proximity to figures mentioned in references around the world. Alexandria was a broad teacher that taught lessons across the world. He taught at Alexandria in Egypt. Euclid’s most well-known work is his treatise on geometry: The Elements. His Elements is one of the most influential works in the history of mathematics, serving as the source textbook for teaching mathematics on different grade levels. His geometry work was used especially from the time of publication until the late 19th and early 20th century Euclid reasoned the principles of what is now called Euclidean geometry, which came from a small set of axioms on the Elements. Euclid was also famous for writing books using the topic on perspective, conic sections, spherical geometry, number theory, and rigor.