Скачать или смотреть Geometry with a general dot product | WildTrig: Intro to Rational Trigonometry | N J Wildberger

With the powerful point of view of rational trigonometry, metrical geometry can be extended far beyond even the blue, red and green chromogeometry of the last few lectures. We can consider a general dot product given by an arbitrary (invertible) symmetric 2x2 matrix, and consider corresponding notions of quadrance, perpendicularity and spread.

To illustrate this, we show how it works in a particular case, where the unit circle is an ellipse in our usual view. This powerful general approach will turn out to have major applications to classical triangle geometry.

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Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of the lectures for various Playlists: great for review, study and summary.

My research papers can be found at my Research Gate page, at https://www.researchgate.net/profile/...

My blog is at http://njwildberger.com/, where I will discuss lots of foundational issues, along with other things.

Online courses will be developed at openlearning.com. The first one, already underway is Algebraic Calculus One at https://www.openlearning.com/courses/... Please join us for an exciting new approach to one of mathematics' most important subjects!

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Here are the Insights into Mathematics Playlists:

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Here are the Wild Egg Maths Playlists (some available only to Members!)

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