Geometry Tutorial #9 -Computational Geometry (Theory)

#IMO​ #Geometry #MathOlympiad​ In this video we discuss the fifth chapter from EGMO book "Computational Geometry". We study two bashing techniques which are Cartesian Coordinates and Trigonometry. The goal is to transform the geometry of the problem into pure algebraic relations. 00:00 Intro 3:03 Cartesian Coordinates 24:59 Areas 38:17 Trigonometry 01:05:35 Ptolemy's theorem 01:20:14 Stewart's theorem 01:26:49 Summary Thanks to Arc for desigining the thumbnail. Inequalities playlist: https://youtube.com/playlist?list=PL1qInO9wTp3mgEn4_X2niePNxrX26OJBl&si=ELV8IYRYz5cyq0sG IMO Past Problems: https://youtube.com/playlist?list=PL1qInO9wTp3kBq7mFRtDauNbuQnddGd6H Functional Equations playlist: https://youtube.com/playlist?list=PL1qInO9wTp3lh0uGN9W6JufoBk7g0BDCL Geometry playlist: https://youtube.com/playlist?list=PL1qInO9wTp3lG6O06huPmQjR1kpeLDI76&si=DBuTjkYVTqTaMLIM Shorts: https://youtube.com/playlist?list=PL1qInO9wTp3m388GGbyWbw85LZRhn3dQw __________________________________________________________________________________________ I upload videos concerning math Olympiad contests to help students preparing for math Olympiad and all people who share the love for some interesting math problems. Don't forget to subscribe to the channel! __________________________________________________________________________________________ Email me your thoughts! ([email protected]) Discord server: https://discord.gg/RcP9eX9yg2