Archimedes Research Paper

My mathematician is Archimedes he was born in two hundred twelve BC and died in two hundred eighty seven BC. Born in Syracuse , Sicily not only was he a mathematician but a physicist, engineer, inventor, and astronomer. Archimedes was killed by a roman soldier in Siege Syracuse. Although his life is not very detailed there is some things we know about him. He is considered one of the leading scientist in classical antiquity as well as the greatest mathematician in antiquity. A biography was written by his friend Heracleides but it was lost so it left some blanks about his life. He might have gone to study to Alexandria, Egypt, he also referred to Conon of Samos as his friend in two of his works. Archimedes is best known for his method of determining …show more content…
He had to determine and find out without damaging the crown, so he then realized that when he got in the bath the level of the water went up so he figured with that he could determine the volume of the crown. He was so excited about his discovery that he forgot to put on clothes and walked out naked. Now this story does not appear in his work but since we do not know much information on him it is still unknown because he had to use extreme accuracy to measure the water. Archimedes predicted modern calculus, to prove the geometrical theorems as well as the surface area, the volume of a sphere, area of the circle, and are under a parabola. One of his achievements is getting an accurate approximation of pi, he also created a system using exponentiation for expressing large numbers. In addition he is also one of the firsts to use mathematics to physical phenomena finding statics and hydrostatics. Including he found an explanation of the lever. He designed many machines like the screw pump, compound pulleys, and war …show more content…
This machine was a device that revolved a screw shaped blade inside a cylinder. This machine was used by hand, today this machine is still used to transfer water. Another machine he said he designed was the Claw of Archimedes this was a weapon he designed especially to defend the city of Syracuse. Archimedes wrote “He placed his whole affection and ambition in those purer speculations where there can be no reference to the vulgar needs of life”. He could give answers to problems with a degree of accuracy, while stating the limits this is known as the method of exhaustion and he used it to approximate the value of pi. For measurement of a circle he did it by drawing a larger regular hexagon outside a circle and a smaller regular hexagon inside it. And he did this by doubling the number of sides of each polygon calculating the length of each at each step. As the number goes up it becomes more accurate of a circle. He also proved that pi equals to the area of the circle multiplied by the square of the radius of the circle. He had many The Quadrature of the Parabola, The Sand Reckoner are great examples as