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EPISODE · Mar 16, 2022 · 57 MIN

The Beauty of Geometrical Curves

from Gresham College Lectures · host Gresham College

The path traced out by a given point on the rim of a circle as you roll it along a straight line is a beautiful curve called a cycloid, whose appeal to mathematicians has had it dubbed “the Helen of Geometry”. This curve is known in geometry as a roulette, which is a curve you get by rolling one curve along another, and there are many more with an amazing range of applications, from clockwork toys to nuclear reactors. This lecture will provide a guided tour of the beauty of geometrical curves.A lecture by Sarah HartThe transcript and downloadable versions of the lecture are available from the Gresham College website:https://www.gresham.ac.uk/lectures-and-events/geometrical-curvesGresham College has been giving free public lectures since 1597. This tradition continues today with all of our five or so public lectures a week being made available for free download from our website. There are currently over 2,000 lectures free to access or download from the website.Website: http://www.gresham.ac.ukTwitter: http://twitter.com/GreshamCollegeFacebook: https://www.facebook.com/greshamcollegeInstagram: http://www.instagram.com/greshamcollegeSupport the show

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The path traced out by a given point on the rim of a circle as you roll it along a straight line is a beautiful curve called a cycloid, whose appeal to mathematicians has had it dubbed “the Helen of Geometry”. This curve is known in geometry as a roulette, which is a curve you get by rolling one curve along another, and there are many more with an amazing range of applications, from clockwork toys to nuclear reactors. This lecture will provide a guided tour of the beauty of geometrical ...

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The Beauty of Geometrical Curves

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