The Cross Ratio - Numberphile

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  • Published on Jul 6, 2018

  • One of the most famous free kicks ever taken - but how far from the goal was Brazil's Roberto Carlos? More links & stuff in full description below ↓↓↓ Discussed by Federico Ardila from San Francisco State University. More Federico videos: http://bit.ly/Federico_Numberphile More football/soccer videos by Numberphile: http://bit.ly/Football_Numberphile The goal was scored by Carlos in a 1-1 drawn between France and Brazil at the Stade de Gerland, Lyon, on 3 June 1997 - it was game one of the "1997 Tournoi de France". Goal animation by Pete McPartlan Discuss this video on Brady's subreddit: https://redd.it/8wkcqh Patreon: http://www.patreon.com/numberphile Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outr... And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Special thanks to these Patreon supporters: Jeremy Buchanan Arjun Chakroborty Jeff Straathof Susan Silver Andy Yana Chernobilsky Christian Cooper Ken Baron Bill Shillito Ben Tony Fadell Turner Lehmbecker Bernd Sing Dr Jubal John Thomas Buckingham Adam Savage Roman Pinchuk James Bissonette john buchan Joshua Davis Steve Crutchfield Jon Padden Jean-Pierre Bergeron Kristo Käärmann Valentin-Eugen Dobrota D Hills Eric Mumford Charles Southerland Arnas Ian George Walker Tracy Parry George Greene Igor Sokolov Alfred Wallace Bodhisattva Debnath
  • The Cross Ratio - Numberphile etiketleri


  • Gerard Marquina
    Gerard Marquina 7 months ago

    people should apologize for using the imperial system, not the metric one

  • Petch85
    Petch85 7 months ago

    Never apologize for using SI units. However you are allowed to use any units you like if you can arguing for it.

  • Ashish Gupta
    Ashish Gupta 7 months ago

    reading the title i thought it might be about the probability a cross would result in a goal

  • Sam
    Sam 7 months ago (edited)

    And now this is in wikipedia. So it is officially an internet fact.

  • Abhijay Paul
    Abhijay Paul 7 months ago

    This guy definitely has one of the better handwritings of this channel 😌

  • Nym Alous
    Nym Alous 7 months ago

    I really like this. I especially like the quote he reads at the end, I find it humanizes math (with respect to geometry) somehow. Furthermore, everything in this video is completely testable using simple pictures of landscapes that can be measured after the calculations have been made. I just might try this sometime...

  • Miguel Pereira
    Miguel Pereira 7 months ago

    Why don't they show the actual goal, just an animation?

  • redguy333
    redguy333 7 months ago

    Do not apologize for using metric system, apologize for not determining error bars.

  • PinochleIsALie
    PinochleIsALie 7 months ago

    Is it just me or is it cool and refreshing to see real-world measurements incorporated into one of these

  • Venkata Karthik Bandaru

    Clever way to teach cross ratios.

  • Siren
    Siren 7 months ago

    Belgium won because they watched this.

  • Mateus Akino
    Mateus Akino 7 months ago


  • Selarom Ogeid
    Selarom Ogeid 7 months ago

    I thought this was gonna be about the ratio between angry people and non-angry people in any given population at any given time.

  • Brendan Beaver
    Brendan Beaver 7 months ago

    33.13 meters is about 36.23 yards, so whichever source claimed 35 and used the imperial units was more correct than the metric source 😉

  • unknown360ful
    unknown360ful 7 months ago


  • Bill Woo
    Bill Woo 7 months ago

    v=3ECoR__tJNQ. You really want to watch the replays, not the live shot.

  • Ciaron Bennett
    Ciaron Bennett 7 months ago


  • gabest4
    gabest4 7 months ago

    I just counted the number of stripes cut into the grass. 6+6+little.

  • Ben S
    Ben S 7 months ago

    Pero se va hasta Germania o se baja en la Javeriana?

  • patmepin15
    patmepin15 7 months ago

    nice handwriting!