I am not so perfect in English, but I could not resist. I have seen proofs before for sin(A+B) and cos(A+B), but the way you show in this video is amazing. Thank you for share. Congratulations.
Some fascinating work using Ptolemy's theorem can be found in Book 1 of 'De Revolutionibus Orbium Coelestium' by one Nicolaus Copernicus. No reference to either sine or cosine, nor Ptolemy nor Pythagoras but we get to the same place!
1:10 - this is simply false? That's only valid if one of the corners that connect to ∠A is 90°. It probably works out because the ratio's cancel out due to the later multiplication, but it's probably why this isn't being explained this way.
@David Schmitz why is 2*OB*sin(BOM)=sin (1/2*BOC)? We know that BOM=1/2*BOC. So 2*OB=1 which is clearly false. My general solution is BC=2*r*sin(BAC). Is there anything wrong with my solution?
This is the best and most intuitive proof of sine addition I have ever seen.
this is the simplest and most elegant proof of Ptolemy's theorem that I have seen so far.
I am not so perfect in English, but I could not resist. I have seen proofs before for sin(A+B) and cos(A+B), but the way you show in this video is amazing. Thank you for share. Congratulations.
Why is this the best geometry video out and why is it so old!
Perfect approach.
If only schools taught us this way...
They did, that is an old clip, I remember it from when I was a kid.
I'm talking about today.
. Xnxx video games l
4:16 first documented use of AlgebraAutopilot™️ c. 1990 :O
wish my trignometry teacher explained it this way....
Realmente incrível.
where can i get this full documentary
Caltech RUclips channel
@@burhan8795 what's it called? Can you link?
@@samisiddiqi5411 it's called project mathematics.
Simple, yet beautiful... :D
It's wunderful! It's beautyness!
Simply Awesome...Thanks a ton for uploading....if possible plz upload similar vedios.
This helps more than school
I would like to cite this video in a paper. Who is the author of this...
A fantastic video
Where is this clip from and what is "proj.math?" Are there any more like these? Where can I find it?
Very nicely explained sir...
Awesome🔥🔥🔥
amazingly well explained!!!!!
Best explanation
Excellent
very very helpful !! thank you ~~
Some fascinating work using Ptolemy's theorem can be found in Book 1 of 'De Revolutionibus Orbium Coelestium' by one Nicolaus Copernicus. No reference to either sine or cosine, nor Ptolemy nor Pythagoras but we get to the same place!
Yes ,, that's right, I had that book long time ago,, alas
Hi All,
Does anyone know what is the name of this documentary? Who is the professor/author? Does anyone have the full documentary?
Thank you.
Caltech RUclips channel
great
What's this from?
Caltech RUclips channel
1:10 - this is simply false? That's only valid if one of the corners that connect to ∠A is 90°. It probably works out because the ratio's cancel out due to the later multiplication, but it's probably why this isn't being explained this way.
@David Schmitz why is 2*OB*sin(BOM)=sin (1/2*BOC)? We know that BOM=1/2*BOC. So 2*OB=1 which is clearly false. My general solution is BC=2*r*sin(BAC). Is there anything wrong with my solution?
@David Schmitz thank you for your response :)
@David Schmitz But the factor of 2 is being left out. I gets cancelled in the end but this is wrong.
@David Schmitz Ah I see, I thought the *radius* was one. Good point.
Lovely presentation, infuriating music.
✌️