Zvezda Circle Inversion

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MathCircles

MathCircles

7 жыл бұрын

This is a sample of Zvezda Stankova's Inversion in a circle math circle lesson. It is one of the videos for Circle in a Box.

Пікірлер: 18
@douro20
@douro20 2 жыл бұрын
She said that this was one of her favourite problems from the time she was training for the International Mathematics Olympiad as a high schooler in 1987. She won a silver medal both years she competed.
@WalterELorenz
@WalterELorenz 5 жыл бұрын
Very well done! If you are interested in solving the problem, maybe it helps to consider, what has to be proved after having inverted the construction. The statement is, that the point C' (thats the image of the touching point of the cirles K3 and K4) lies on the line B'D'. Remember, that this line needs not to be orthogonal to the lines L1 and L2 !
@matemaicon
@matemaicon 2 жыл бұрын
Zvezdelina is so amazing... would there be an entire course with her.
@devrimturker
@devrimturker 2 ай бұрын
Zvezda , you are a star :)
@stevethecatcouch6532
@stevethecatcouch6532 6 жыл бұрын
Should someone tell the Shaikh that this video is about 20 years old? Dr. Stankova is still cute as a button and sharp as a tack, but she's probably old enough to be his mother.
@douro20
@douro20 2 жыл бұрын
She's only 52.
@jpr4747
@jpr4747 5 ай бұрын
Il the past, in France, plan inversion was learned before the "bac" ( sat's). But now, only isoletries ans homotheties are being teached ( secoundary school). In the 70's, pure geometry decreased and was seen mire frim an algebraic point of view ( matrix and linear algevra) I didn't this beautiful problem.
@hiankun
@hiankun 4 жыл бұрын
Come from Numberphile. :-D
@davidwilkie9551
@davidwilkie9551 2 ай бұрын
This particular lesson adds to the Numberphile examples and the significance is the Observable constant unity-connection of Euler's rationalization function inside-outside positioning of 0-1-2-ness in 3-ness perspectives, ie 2-3 inversion of relative-timing 1-0-infinity instantaneous probability spectrum located at, on, in and around the Universal Singularity-point positioning with the properties described by Professor Zvevda.., it's flash-fractal recognition of e-Pi-i QM-TIME Completeness Actuality, after you have time to mix and match her teaching with experience, but still can't reproduce it (yet) in parallel coexistence time-timing terms. And the i-reflection parallel coexistence represents the orthogonal-normal z-axis parallels in rotation of the Polar-Cartesian self-defining Geometry.., (ask the Prof if you need to combine POV).
@abhinaamrawat1680
@abhinaamrawat1680 2 жыл бұрын
Great video mam
@himeshkumar5293
@himeshkumar5293 3 жыл бұрын
This is ought to be a basic lecture please provide more lectures on geometry , btw she is a 'female' IMOer and an amazing researcher.
@mikeRoweSoftLee
@mikeRoweSoftLee 6 жыл бұрын
what about paul's lemma?
@shaikhmullah-ud-din1964
@shaikhmullah-ud-din1964 6 жыл бұрын
I would take every single lecture just to look at her and look at her talk ❤️ I'd do every single home assignment just share a few minutes in her company ❤️
@KALSAFilms
@KALSAFilms 6 жыл бұрын
Shaikh Mullah-ud-Din creepy
@benreymamou
@benreymamou 3 жыл бұрын
Wow
@mauermeit-2565
@mauermeit-2565 2 ай бұрын
Here 13:25 we can see early Elon musk
@soutriksarangi5580
@soutriksarangi5580 4 жыл бұрын
What are these old guys doing in a high school geometry class?
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