Quadrance via Pythagoras and Archimedes | WildTrig: Intro to Rational Trigonometry | N J Wildberger

[@acudoc1949]

I continue to marvel at how your approach, Dr, Wildberger, undoes my lifelong vague uncomfortableness with the nature of abstract mathematics based on set theory and 'infinity' and infinite processes. Thank you!

[@pickeyberry4060]

Video Content 00:00 Introduction 3:12 Proof of pythagoras' theorem 5:36 Triple Quad Formula

[@robharwood3538]

Watching this again now, after gradually becoming more and more familiar with your approach and vision over several years, this video strikes me as a _lot_ more exciting than when I first watched it and was wondering, "Where the heck is this guy going with this?" Thankfully, your step by step, systematic methodology kept me interested to see just where you *were* going with it. And now that I have a good glimpse of that, I can finally really appreciate this video for what it already represented when I first watched it. I kinda get the feeling that you 'need' (lacking a better word; I don't mean it presumptuously) to foster a 'next generation' of rational trig practitioners who can themselves re-introduce rational trig from their own understanding -- essentially, to teach the next teachers how to teach rational trig, and then have them actually teach it. I suspect that's really the only way it will be able to start propagating into the culture at large. Right now, it's probably too dependent on being only fully understood/appreciated by (essentially) one person. Well, at least you've already developed this amazing legacy of YT videos (and books and other publications, of course!) documenting it, so I guess you've already covered that important base, but fostering its active use -- for example in explorations in math videos (such as what YTers like Mathologer and 3Blue1Brown do), in recreational maths, in tutoring, etc. -- seems to me to be an important next-step that is not currently being addressed. (If I could contribute to that effort, I would. I have several ideas as to how, mainly from the perspective of a former math/science tutor, but unfortunately I'm not currently in a position to devote time/focus on it for the foreseeable future. 😕)

[@federicofresneda7021]

The most beautiful proof of Pythagoras Theorem i´d ever seen.

[@lkledu2]

if I had watched this earlier. Thank you for the great content

[@cecilhenry9908]

Amazing. I have a grad degree in Engineering---but still much to learn!!

[@sergeyg2926]

Fascinating. But I am having trouble with the initial video warning us that visual proofs are subject to unexpected pitfalls - and the proofs in this segment being more visual than formal.

[@OrangeDrink]

This was explained well, 16(area)^2 through zero=4qq-(q+q-q)^2....is it important for the (q1) to be the shortest side for the following through to zero?

[@wernerhartl2069]

I note that a string might work to define distance.