... in a fluid whether fully or partially submerged is equal to the weight of the fluid that the body displaces. He also studied the stability of various floating bodies of different shapes and different specific gravities. In his first book "On the Sphere and Cylinder" Archimedes shows that the surface of a sphere is four times that of a great circle, he ... an infinite series. The finite series was recorded in the standard Greek arithmetic notation. Considering the infinite and finite series as one data set, Archimedes stated a rational number problem by a 1/4 geometric infinite series, a...

• Word Count: 6149
• Approx Pages: 25
• Grade Level: Undergraduate

... of what is being? This theory incorporates the idea that musical sounds have mathematical tones of energy which ultimately allow them to relate with patterns of proportion dealing with angles, shapes, and movements. Through this theory Pythagoras suggested that the sun, moon, and other celestial objects all emit their own orbital resonance which is made by their individual orbits. Through these ... capacity of intellectual factoids that they could discover. Pythagoras was not one of these men and for this reason he was able to come up with a great change within the geometric division of...

• Word Count: 1076
• Approx Pages: 4
• Grade Level: Undergraduate