ANSWERS: 2
-
Yes.
-
"For a mathematician, an object of beauty is something that can be described simply, but is absolutely - er - beautiful. Take the circle for instance. It can be described simply but has so many great properties! (why else do you think coins are circular?) Trouble is, most people are so used to seeing circles that they take them for granted. Perhaps that's why the most beautiful object is generally taken to be the cycloid, often called ``The Helen of geometry'', after the legendary Greek beauty. Cycloid? Not many people have heard of it. This is how it is constructed. Consider a circle rolling along a straight line. Mark a fixed point on it --- the curve created by that fixed point as the circle rolls is called a cycloid." "If you place a particle (eg a marble) at various points on a cycloidical bowl, it will always reach the bottom of the bowl in the same time! This is called the isochronous property, and was proved by the Dutch scientist Christian Huygens." Source and further information: http://www.geocities.com/CapeCanaveral/Lab/3550/cycloid.htm Further information: http://en.wikipedia.org/wiki/Cycloid#Cycloidal_pendulum
Copyright 2023, Wired Ivy, LLC

by 