A Comparison of the Methods of Archimedes to the Methods Used Today (Part II)

This is part 2 of a 4-part mini-series about the mathematical works of Archimedes and how we can solve the problems using the methods that we have available to us today. In this video, we will be discussing Archimedes' work titled "Quadrature of the Parabola" which describes his method of finding the area of a parabolic segment. We will also be showing how we can use calculus to solve the same problem. Below is a list of sources that I reference in the video. You can find the corresponding numbers in the top right of the video. Feel free to take a look if you would like to learn more! 1. Archimedes. "QUADRATURE OF THE PARABOLA." In The Works of Archimedes: Edited in Modern Notation with Introductory Chapters, edited by Thomas L. Heath, 233-52. Cambridge Library Collection - Mathematics. Cambridge: Cambridge University Press, 2009. doi:10.1017/CBO9780511695124.018. 2. O’Connor, J J, and E F Robertson. “Calculus History.” Maths History, February 1996. https://mathshistory.st-andrews.ac.uk/Hist.... 3. Bourne, Murray. “Archimedes and the Area of a Parabolic Segment - Interactive Mathematics.” Interactive Mathematics - Mathematics, learning, computing, travel - and whatever... , March 30, 2019. https://www.intmath.com/blog/mathematics/a.... The diagrams were created using GeoGebra