Author Topic: Arctangent Without a Calculator ...Why Bother?  (Read 5237 times)

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Mad Dog Mike

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Re: Arctangent Without a Calculator ...Why Bother?
« Reply #15 on: October 10, 2017, 11:17:59 pm »
Holden,

While I was solving some exercises dealing with [classical] trigonometry, I caught myself becoming slightly disgusted.  I mean, even though it is cool how we can compute certain lengths and such using the angle measure and trigonometric ratios, I could not help but think of Wildberger and his Rational Trigonometry.

When you asked me where do I think you ought to start, I always steered you in the direction of the classical and the standard methods.  I di not want you to become confused.   I figured you would have your hands full just with that.

Then I wondered if it might be worthwhile for you to learn Wildberger's Rational Trigonometry AS OPPOSSED to the trigonometry the rest of us learned.

Eh, it was just a thought.

Maybe it's not such a great idea as it would only intensify your OUTSIDER status.

I suppose you will want to know about angle measurement even though I suspect Wildberger is correct in surmising that "squared distance" is more central and that all the focus on angles and trigonometric identities might have been a wrong path which no one ever had the courage to call out.

Maybe just save the PDF of the book, Rational Trigonometry for the future if you are curious.

Myself, I have put it on hold for awhile.

I don't need to remind you that you are free to ignore these suggestions.  I will not take any offense in the least.

I know you are not too crazy about Camus, but there is something he wrote in The Myth of Sisyphus which now reminds me of you.  He had written something about how the logic of triangles and such do not speak to the heart at all.   

I am sincerely sorry that I can offer you no guidance when it comes to getting through this life, how to deal with issues caused by your employment, etc.

I have long since given up trying to make any sense of our world. 

I value leisure even if this excessive leisure gives me too much time to think.

If I have banished myself from the workforce by accepting the diagnosis of rapid-cycling manic-depressive "disorder," then I am one of a growing legion who have, at some point, found it nearly impossible to act as if we want to submit.

a warm place

One day I might have such a deep understanding that I would probably make an effective educator of some kind - and yet, you and I both are well aware of the laughable impossibility of the gorts ever putting me in any kind of position to "instruct the youth."

I would never be so naïve as to ever think such a thing would happen.   It's not like I would ever even want to be put in such a position.  Nothing but trouble.  As a matter of fact, fuuck that, I would prefer not to anyway.  ;D

burn

« Last Edit: October 11, 2017, 01:38:28 am by Non Serviam »
Things They Will Never Tell YouArthur Schopenhauer has been the most radical and defiant of all troublemakers.

Gorticide @ Nothing that is so, is so DOT edu

~ Tabak und Kaffee Süchtigen ~

Holden

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Re: Arctangent Without a Calculator ...Why Bother?
« Reply #16 on: October 11, 2017, 07:14:57 pm »
Quote
I am sincerely sorry that I can offer you no guidance when it comes to getting through this life, how to deal with issues caused by your employment, etc.

You have been extremely compassionate to me -that is all one man can do for another in this wretched world.In fact,you have helped me more than anyone else on this planet. Your thoughts and ideas and philosophy give me a great deal of moral strength.
La Tristesse Durera Toujours                                  (The Sadness Lasts Forever ...)
-van Gogh.

There is but one truly serious philosophical problem and that is suicide.-Camus

Mad Dog Mike

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Re: Arctangent Without a Calculator ...Why Bother?
« Reply #17 on: February 24, 2018, 04:37:28 pm »
Dead Reckoning: Calculating Without Instruments, circa 1993 by Ronald W. Doerfler at Library Genesis.

Things They Will Never Tell YouArthur Schopenhauer has been the most radical and defiant of all troublemakers.

Gorticide @ Nothing that is so, is so DOT edu

~ Tabak und Kaffee Süchtigen ~

Mad Dog Mike

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Re: Arctangent Without a Calculator ...Why Bother?
« Reply #18 on: September 18, 2025, 09:00:16 am »
If this world can ignore and make look like a quack a mental giant such as Norman Wildberger, I can expect to be seen as a clown, a comical orangutan who knows some tricks.

I wish I had this man's understanding.

https://web.maths.unsw.edu.au/~norman/Rational1.htm

See An Invitation to Investigate Rational Trigonometry.

Maybe, if I find an apartment, and get settled with books, I might pick up where I left off in 2021 or so when I ran out of steam,
« Last Edit: September 18, 2025, 09:05:27 am by kRazi gHost »
Things They Will Never Tell YouArthur Schopenhauer has been the most radical and defiant of all troublemakers.

Gorticide @ Nothing that is so, is so DOT edu

~ Tabak und Kaffee Süchtigen ~