Parabolic Segment: Archimedes Insight

Creation of this resource was inspired from watching [url=https://twitter.com/stevenstrogatz]Steven Strogatz[/url] 's [url=https://youtu.be/1r6893ga_So?t=2615]"The Beauty of Calculus"[/url] lecture (specifically, 43:35 - 51:42) he delivered at Yale University. [br][br]This GeoGebra applet dynamically illustrates one interesting fact Archimedes discovered as he was using triangles in his attempt to calculate the area of a parabolic segment (i.e. area bounded by a parabola and any secant line drawn through it) by method of exhaustion. [br][br]LARGE POINTS are MOVEABLE at any time. [br]The unlabeled slider (upper right) adjusts the parabola's vertical stretch. [br][br][b]Note: [/b][br]Segments and/or lines of same style-type ([color=#9900ff]color[/color], style) that appear parallel ARE PARALLEL.
Quick (Silent) Demo

Information: Parabolic Segment: Archimedes Insight