Adding the point K on AC is such an interesting step! I hope I can learn how to do geometric proofs like these at some point!

@ProfOmarMath

4 жыл бұрын

It's an interesting creative step. Maybe too magical!

I always love those "magic line" proofs :) -- They really embody the creativity and ingenuity in proof geometry (which is often seen as the boring, rigorous way to do things) that is often missed by those that don't study it as deeply (that can be said for almost all subjects, too). Thank you for this pretty cool proof. There are certainly more beautiful proofs, like the inversion one, but I still really like the approach you took. You seem more into mathematics than a lot of other people I've seen with similar channels... It doesn't feel like you're parroting a website and dryly restating the proof, but actually sharing your love of math with the audience.

@ProfOmarMath

2 жыл бұрын

Thanks Myrus! I really do love the stuff and wish I could share so much more

Excellent explanation Omar!

thanks very much!! I was really struggling with the proof I have in my book, yours is much easier to absorb.

Thank you for this. I was searching for proof of Ptolemy's theorem.

@ProfOmarMath

4 жыл бұрын

Definitely!

there is also slightly extended version of it- namely we have inequality AD*BC+AB*DC>= AC*BD with equality iff quadrilateral is cyclic.

Loved it! This channel is a gem. Here from blackpenredpen's video :D

@ProfOmarMath

4 жыл бұрын

Thanks!

Very good video!! Keep going :)

Excellent video. Thank you for sharing.

@ProfOmarMath

2 жыл бұрын

Thank you!

THANK U SOO MUCH ❤

Thank you so much for the explanation. :D. It really helped.

@ProfOmarMath

2 жыл бұрын

Awesome!

great! thank you! very enlightening!

@ProfOmarMath

Жыл бұрын

You're very welcome!

Cristal clear 👌

Great！ Beautiful！

Noice! A slow clear explanation!

@ProfOmarMath

4 жыл бұрын

Thanks!

you should do more things like this. I am personally a great fan of planimetry, but sometimes feel a bit too lazy to read the proofs myself.

@ProfOmarMath

4 жыл бұрын

More coming 😊

thank you .

@ProfOmarMath

2 жыл бұрын

Definitely!

How can I prove using Complex numbers?

Can you olympiad techniques for euclidean geometry like inversion and barycentric coordinates?

@ProfOmarMath

4 жыл бұрын

Hi Drag. I typically focus on undergrad math material but I have some interesting techniques that apply to geometry coming quite soon that are quite surprising! Did you think about this from the inversion proof of Ptolemy?

Nice explanation

@ProfOmarMath

3 жыл бұрын

Thanks!

subbed

can you please advice me some good book which has angle chasing problems ?

@ProfOmarMath

2 жыл бұрын

Hmmmm I actually can’t think of a specific outstanding one!

This proof looks like magic. Really. Inversion looks much more intuitive.

@ProfOmarMath

3 жыл бұрын

Truth. Inversion takes a lot of set up. There is a nice numberphile about it actually

@TechToppers

3 жыл бұрын

@@ProfOmarMath Yeah. I have a small request. Can you make a video on what's the idea of Circular Inversion, because that definition looks rather strange on first look but solves circle related problems in a jiffy.

Sir how did you get the idea to construct the angle bisector? Or you knew it beforehand?

@ProfOmarMath

3 жыл бұрын

This is indeed something I had seen before!

@atharavyadav2979

3 жыл бұрын

@@ProfOmarMath plz prove it

@SeanBenson23

3 жыл бұрын

@@atharavyadav2979 dude it doesn’t need to be proved. You’re allowed the make that construction. Use a protractor and a straightedge.

@atharavyadav2979

3 жыл бұрын

@@SeanBenson23 my friend i was asking therotical proof . yeah always we can prove it from construction not only that but even ptolmey theorem can proved by construction

Which theorem was invented first Pythagoras or Ptolemy??

@ProfOmarMath

3 жыл бұрын

I'm not sure!

نايس

good vid

@ProfOmarMath

3 жыл бұрын

Thanks!

dont knw why good youtubers have so less subs.....

@ProfOmarMath

2 жыл бұрын

Thanks Ujjwal. Can’t control the algorithm!

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤👍👍👍👍👍👍👍👍👍👍👍👍👍

2:05 Khabi Lame moment