Charles Link's latest activity
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Using the law of cosines and reasonably simple algebra, I got the following expression for the radius-squared in terms of the given... -
Charles Link replied to the thread I Trigonometry problem of interest.I took your suggestion, but no luck so far. I had more luck yesterday coming up with the video of post 18 with a search. I'll need to...
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That's an interesting point about knowing numbers. In the movie, The Man Who Knew Infinity, on the life of Ramanujan, there's a scene... -
Charles Link replied to the thread I Trigonometry problem of interest.@jedishrfu I am pleased with what I got so far on this one. It was my instincts that the integer combinations that would work for this...
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Charles Link reacted to jedishrfu's post in the thread I Trigonometry problem of interest with Like.
Once you tire of these triplets, you can move onto the Euler brick and then the perfect Euler brick where no one has found a solution...
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Charles Link replied to the thread I Trigonometry problem of interest.and I found a 4th one that works: 13,31, and 35 (correction =46 instead of 35) with ## x=r=31 ##. Like @jedishrfu said above,( post...
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Charles Link replied to the thread I Trigonometry problem of interest.I've been trying to find others, but so far only 2,7, and 11 along with 1, 13, and 22 plus multiples thereof. The combinations that...
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Charles Link reacted to jedishrfu's post in the thread I Trigonometry problem of interest with Like.
Historically, these are likely known triplets for this kind of problem similar to the pythagorean triplets.
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You are welcome, Charles. Please, take a second look, right triangles are hidden in your diagram: See the Thales' theorem in the...
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Charles Link reacted to jedishrfu's post in the thread I Trigonometry problem of interest with Like.
That's a great video description of the steps needed to solve the problem, and it eliminates the complex, difficult-to-reduce equations...
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Charles Link replied to the thread I Trigonometry problem of interest.@Lnewqban I didn't know the name of it, but Thales' theorem was one of a couple of things I was trying to apply to simplify things. It...
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Charles Link replied to the thread I Trigonometry problem of interest.See He has kind of a simple solution. Still no hidden symmetry, but he does have a good solution. His arithmetic is kind of simple...
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Charles Link replied to the thread I Trigonometry problem of interest.@Lnewqban Very good graphics. Thank you. :) I'm still looking for a simpler solution to this one. Perhaps the combination of 2,7, and...
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Using another point as center of the R = 11.0 largest blue circle: