Abstract
The paper relates that most of early philosophers were, what we would call today, theoreticians; they were mostly concerned with gaining the knowledge and less about practical applications. The paper discusses one notable exception that was Archimedes and describes how he was known for his technical ingenuity as well as applied mathematics to the so called 'real world'.

From the Paper
"Why Archimedes? Ancient Greece was a cradle of Western philosophy and science. It was a place where a new way of thinking about the Nature, Universe and life was born. The philosophers who lived in the city-states (polis) in the area that is now Greece were the first ones to challenge the religious ideas and explanations of the world around us. Sciences like mathematics, physics, astronomy, ethics, politics, atomistic ideas, to name just a few, can trace their origins to those early philosophers. Many of Greek thinkers influenced philosophers, scientists and leaders for centuries to..."

Tags:archimedes, history, hydraulics

Abstract
A look at the different discoveries by Archimedes focusing on what he is most greatly known for - discovering the solution of pi. His approximation of pi between 3-1/2 and 3-10/71 was the most accurate of his time, and with this discovery he devised a new way to approximate square roots.

From the Paper
"Little known details remain about the life of Archimedes who was one of antiquity's greatest mathematician, Archimedes. Most of the facts about Archimedes' life come from a biography written by the Roman biographer Plutarch. What is known, is that he was born in Syracuse, Sicily in the year 287 B.C., and died in 212 B.C. at the age of 75 in Syracuse. I was able to come up with an astonishing amount of information on Archimedes for this paper. It seems that there is no end to his accomplishments, and I tried not to leave out any of them. "

Tags:archimedes, burning, cicero, greek, marcellus, mathmetician, mirrors, pi

Abstract
This paper discusses the lives of Archimedes and Carl Friedrich Gauss, two of the greatest mathematicians of all time. The paper provides a point by point comparison of their childhood and education, outlines each of their mathematical contributions and examines the influence their work continues to have on the science of mathematics.

From the Paper
"Far more details survive about the life of Archimedes than about any other ancient scientist, but scholars disagree on which details are fact and which are anecdotal. The most famous Archimedes story centers on how he determined the proportion of gold and silver in a crown made for Hieron through measuring water displacement. Since he supposedly made the discovery while in the bathtub, the excited Archimedes ran naked through the streets of Syracuse shouting "Eureka!" (Muir 20)."

Tags:geometry

Abstract
This paper looks at the contribution of the ancient Greek civilization to modern day mathematics. In particular, the paper considers the contribution of the ancient Greeks to geometry. It covers Euclid, Pythagoras, Archimedes, Thales, Apolllonius, Nicomedes, Anaxogorass, Auchytas, Eurocius, Eudoxus, Menaechmus. and Aristarchus.

From the Paper
"Ancient Greece was one ancient civilization which probably contributed the most to modern day mathematics, particularly to geometry since that seems to be the field they excelled at. It gave us such things as Pythagoras' theorem and Euclidean geometry, the value of volumes of circles and columns and solved problems such as doubling the cube squaring the circle and trisecting an angle. Euclid, though he is not believed to have developed many theorems in geometry himself was the first to come up with a..."

Tags:mathematics, geometry, Greeks, ancient civilization, Euclid

Abstract
This paper first defines mechanics, a branch of study that deals with the influence of forces acting on bodies and dynamic responses of bodies to the imposition of those forces, and then lists the three different subdivision of mechanics. Included in this subdivision is dynamics, which the paper also explains and describes as it relates to the study of mechanics.

From the Paper
"Life without motion is better explained as death. A living being is said to be having life only when the walls of the heart engage in pumping the blood, when the blood circulates through the entire body, when nerves impulse electrically from brain to toe, lungs move to bring oxygen, food transports through the stomach and intestines, when the iris expands and contracts, when the eyeball rotates, etc. Not only in the living beings, the riddles of the non-living items like recoiling of a fired gun, acceleration of an automobile, action of a spinning top, the motion of a space rocket can also be broken down in terms of the analysis of motion."

Tags:archimedes, galileo, sir, isaac, newton, static, kinematic, fluid, hydraulics, law, velocity