Perhaps the two most sought after concepts in the history of the subject were the integral and the derivative, as they were a necessity in finding out information needed about the physical world. ... 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 finds the area of any segment of a sphere, he shows that the volume of a sphere is two-third the volume of the circumscribed cylinder, and that the surface of a sphere is two-third the surfaces of a circumscribed cylinder including its bases. In the seco...

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