Livello Segreto

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Khurram Wadee ✅Forgive the recent apparent obsession (I’d call it a fascination) with the <a href="https://mastodon.org.uk/tags/cycloid" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#cycloid</a> but I’ve just discovered something I’d not heard of before. It is also called a <a href="https://mastodon.org.uk/tags/TautochroneCurve" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TautochroneCurve</a> or <a href="https://mastodon.org.uk/tags/Isochrone" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Isochrone</a> curve, which means that a particle starting from any location on the curve will get to the <a href="https://mastodon.org.uk/tags/MinimumPoint" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MinimumPoint</a> at precisely the same time as a particle starting at any other point.<a href="https://mastodon.org.uk/tags/Dynamics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Dynamics</a> <a href="https://mastodon.org.uk/tags/Kinematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Kinematics</a> <a href="https://mastodon.org.uk/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Mathematics</a> <a href="https://mastodon.org.uk/tags/AppliedMathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#AppliedMathematics</a> <a href="https://mastodon.org.uk/tags/Mechanics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Mechanics</a> <a href="https://mastodon.org.uk/tags/ClassicalMecanics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#ClassicalMecanics</a> <a href="https://mastodon.org.uk/tags/WxMaxima" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#WxMaxima</a> <a href="https://mastodon.org.uk/tags/FreeSoftware" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#FreeSoftware</a> <a href="https://mastodon.org.uk/tags/MyWork" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MyWork</a> <a href="https://mastodon.org.uk/tags/CCBYSA" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#CCBYSA</a>

Khurram Wadee ✅A couple of weeks ago, I posted an <a href="https://mastodon.org.uk/tags/animation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#animation</a> of a point on a circle generating a <a href="https://mastodon.org.uk/tags/cycloid" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#cycloid</a>.If you turn the curve "upside down", you get the <a href="https://mastodon.org.uk/tags/BrachistochroneCurve" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#BrachistochroneCurve</a>. This curve provides the shortest travel time starting from one cusp to any other point on the curve for a ball rolling under uniform <a href="https://mastodon.org.uk/tags/gravity" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#gravity</a>. It is always faster than the straight-line travel time.<a href="https://mastodon.org.uk/tags/MyWork" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MyWork</a> <a href="https://mastodon.org.uk/tags/CCBYSA" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#CCBYSA</a> <a href="https://mastodon.org.uk/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Mathematics</a> <a href="https://mastodon.org.uk/tags/Maths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Maths</a> <a href="https://mastodon.org.uk/tags/AppliedMathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#AppliedMathematics</a> <a href="https://mastodon.org.uk/tags/Physics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Physics</a> <a href="https://mastodon.org.uk/tags/Calculus" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Calculus</a>

Khurram Wadee ✅Imagine a circular wheel rolling, without skidding, on a flat, horizontal surface. The <a href="https://mastodon.org.uk/tags/locus" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#locus</a> of any given point on its <a href="https://mastodon.org.uk/tags/circumference" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#circumference</a> is called a <a href="https://mastodon.org.uk/tags/cycloid" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#cycloid</a>. It is a <a href="https://mastodon.org.uk/tags/periodic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#periodic</a> <a href="https://mastodon.org.uk/tags/curve" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#curve</a> with <a href="https://mastodon.org.uk/tags/period" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#period</a> over the <a href="https://mastodon.org.uk/tags/circle" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#circle</a>'s circumference and has <a href="https://mastodon.org.uk/tags/cusps" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#cusps</a> whenever the point is in contact with the surface (the two sides of the curve are tangentially vertical at that point).<a href="https://mastodon.org.uk/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Mathematics</a> <a href="https://mastodon.org.uk/tags/Geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Geometry</a> <a href="https://mastodon.org.uk/tags/Maths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Maths</a> <a href="https://mastodon.org.uk/tags/AppliedMathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#AppliedMathematics</a> <a href="https://mastodon.org.uk/tags/Mechanics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Mechanics</a> <a href="https://mastodon.org.uk/tags/Kinematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Kinematics</a> <a href="https://mastodon.org.uk/tags/Dynamics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Dynamics</a> <a href="https://mastodon.org.uk/tags/Physics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Physics</a> <a href="https://mastodon.org.uk/tags/MyWork" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MyWork</a> <a href="https://mastodon.org.uk/tags/CCBYSA" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#CCBYSA</a> <a href="https://mastodon.org.uk/tags/WxMaxima" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#WxMaxima</a>

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