Charles Link's latest activity

@Gavran Still I am a little disappointed that the PF members who can respond to these posts don't seem to have looked carefully over...

By replacing humans with artificial intelligence, this forum would lose its soul, and some kind of emptiness would be left.

a copy and paste of mine from the thread "a trigonometry problem of interest": I'm finding it somewhat amazing how the ai overview is...

I'm finding it somewhat amazing how the ai overview is able to summarize for me the steps that are needed for the method of finding...

Personal opinion: Machine Learning is, at this time, not a reliable tool. It needs much more work by folks without a financial agenda...

Just last night, I put an Edit 2 to post 48 that some may find of interest. Finding positive rational solutions to the problem...

Okay. ## c^2=a^2+(2R)^2-2\cdot a\cdot2R\cdot\cos(\angle ADC) ## ## c^2=x^2+b^2-2\cdot x\cdot b\cdot\cos(\angle ABC) ## I want to offer...

additional numbers to complete the set with 5 in the denominator for ## m ##: ## m=9/5 ##, ## a=59 ##, ## b=227 ##, ## x=151 ## ##...

Going back to post 56, I now tried, just for the fun of it, to see if I could get another solution using @daverusin 's method of post...

Although I slighted @Gavran by not mentioning his attempt, I don't think anyone had called out Ptolemy's Theorem by name. How often do...

In post 43 @Gavran cited it on his very last line in parentheses. It is so easy to overlook something like that though, because this...

@hutchphd It gets harder as we get older. I am 70 now. We sort of have an excuse. Too many of the younger ones though I see are...

Yes indeed. Through laziness I did not really look at the attempt.......bad form on my part (apologies!)

Looking back over things, I do think @daverusin in post 41 has something of considerable merit. With his method, which I figured out...

@Gavran I presume in your solution that you plugged in ## R=x ##. You then get ## a^2-b^2+3x^2 =2a^2+ab ## so that ## 3x^2=a^2+b^2+ab...