... perimeters and concluded that 223/71 < π < 22/7 or 3.1408 < π < 3.1429 Archimedes proved a wide variety of geometric theory including volume of a sphere, area of a circle, surface area, and the area under a parabola are all proved by Archimedes through various methods that he developed. Exhaustion method, applying concepts of infinitesimals and anticipating modern calculus. He was the first to use exponential numbers to ... ...

• Word Count: 1721
• Approx Pages: 7
• Grade Level: High School

... has the most angles, perceiving that it would hold more honey than either of the two others for the same expenditure of material. Book VI determines the center of an ellipse in relation to the circle. This volume is called "Little Astronomy" due to its associations with nature. It also covers optics, reflection and refraction of light. Book VII the "Treasury ... ...

• Word Count: 647
• Approx Pages: 3
• Grade Level: Undergraduate