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WT33: Projective geometry and homogeneous coordinates

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Uploaded by on Jan 28, 2009

One of the most important mathematical advances occurred in the 1800's with the introduction of homogeneous coordinates to describe the true nature of the projective plane.

This video is part of the WildTrig series, which introduces Rational Trigonometry and applies it to many different aspects of geometry.

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Uploader Comments (njwildberger)

  • Thanks again for an excellent video! BTW, the document math.ucdavis.edu/~temple/MAT21­­D/SUPPLEMENTARY-ARTICLES/Crow­e­_History-of-Vectors.pdf that you suggested was not found on the server. Might there be a spelling error in the URL?

  • @auspicious99 If you Google Crowe History of Vectors you will find it.

  • Here's an idea for you: Try to get Google to hire you to change the Math/Sci educational scene. Make it free AND high quality by using hi-tech OPEN technologies.

  • @beardymonger I am already trying to do that. My videos are free and hopefully of reasonable quality, and as time goes by I hope they present educationalists with an alternative to the status quo. And I already have a very pleasant job teaching at UNSW.

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All Comments (26)

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  • The penny's starting to drop now. Thanks for making these videos. You currently pretty much have the market covered on YouTube for homogeneous coordinates which is surprising given their utility.

  • Thanx a million Sir!

  • @njwildberger thanks, found it

  • @njwildberger excellent. looking forward to it.

  • @samruby82 Yes that is a good suggestion that others have made too. I will try to do that one of these days: perhaps in my Linear Algebra series (WildLinAlg)...

  • @njwildberger fyi, a synopsis can be found here: math.ucdavis.edu/~temple/MAT21­D/SUPPLEMENTARY-ARTICLES/Crowe­_History-of-Vectors.pdf

    Though the synopsis makes no mention of matrices (haven't found the book yet).

    I'm sure a lot of people stumble upon these videos looking for an understanding of the math behind computer graphics. Any chance you could cover this connection between projective geometry and projection/transformation matrices in a video down the road?

  • Great! I really need a quick explanation on homogenous coordinates, and that hit the spot. Thanks!

  • Oh, forgot to mention i like your videos very much :-)

    What i meant is we need new technology. A system that will allow revisions (a la wiki), allow commenting or selecting text from a specific location, interactive (3D) graphics (with some open format and animations), multiple heading levels (like Word's) which will allow the student to chose the level of exposition. All while keeping the level teaching as high as here on this video :-).

    I don't know why, but Google seems the one to pull it

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