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MF34: Areas of polygons

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Uploaded by on Jun 1, 2009

How to define the area of a polygon? The right way is to consider signed areas of oriented polygons. This leads to natural formulas that are important for calculus.

This video belongs to Wildberger's MathFoundations series, which sets out a coherent and logical framework for modern mathematics.

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Uploader Comments (njwildberger)

  • I think you can write that signed area formula in determinant matrix form.

    Interesting work, Professor.

  • Hi mathgeek37,

    You are quite right. Signed areas of triangles and determinants of 2x2 matrices are intimately connected. This geometrical interpretation of a determinant (which extends also to higher order determinants) is not given enough attention in linear algebra classes.

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  • I agree, sir. I have noticed that as well.

    Thank you for this lecture.

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