5 ms·
Yep. The abstract for the conference talk is coy: https://meetings.ams.org/math/spring2023se/meetingapp.cgi/Paper/23621 https://meetings.ams.org/math/spring202
by kickaha 3y ago
Yep. The abstract for the conference talk is coy:
https://meetings.ams.org/math/spring2023se/meetingapp.cgi/Paper/23621 https://meetings.ams.org/math/spring2023se/meetingapp.cgi/Pa...
In the 2000 years since trigonometry was discovered it's always been assumed that any alleged proof of Pythagoras’s Theorem based on trigonometry must be circular. In fact, in the book containing the largest known collection of proofs (The Pythagorean Proposition by Elisha Loomis) the author flatly states that “There are no trigonometric proofs, because all the fundamental formulae of trigonometry are themselves based upon the truth of the Pythagorean Theorem.” But that isn’t quite true: in our lecture we present a new proof of Pythagoras’s Theorem which is based on a fundamental result in trigonometry—the Law of Sines—and we show that the proof is independent of the Pythagorean trig identity \sin^2x + \cos^2x = 1.
- freedsoftware 3y agoThis talk already happened but for some reason it's not posted. Very odd.