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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

What this episode covers

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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How long is this episode of Gresham College Lectures?

This episode is 57 minutes long.

When was this Gresham College Lectures episode published?

This episode was published on March 16, 2022.

What is this episode about?

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...

Is there a transcript available for this episode?

Yes, a full transcript is available for this episode. You can read the complete transcript on the episode page.

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