2006-12-30 04:01:00 · 6 answers · asked by Alan D 1 in Science & Mathematics ➔ Mathematics
Get a Spirograph !
2006-12-30 04:04:04 · answer #1 · answered by Anonymous · 0⤊ 1⤋
A cycloid is the curve defined by a fixed point on a wheel as it rolls, or, more precisely, the locus of a point on the rim of a circle rolling along a straight line.
epicycloid (circle rolling on outside of another circle, point on the rim of the rolling circle), the hypocycloid (circle on the inside, point on the rim)
Google for
cycloid wikipedia
and see more results. Those above are from wikipedia.
2006-12-30 04:13:46 · answer #2 · answered by Anonymous · 0⤊ 1⤋
use a circular item - coin, coaster, cup etc
draw round it to create a circle
find the exact centre of the circle
place the same item on the circle so that the edge touches the centre - then draw another circle
move the item so that it touches the centre and the point were the two circles are dissected. draw a circle
repeat until you have the effect you want
2006-12-30 04:09:26 · answer #3 · answered by Valerie C 2 · 0⤊ 1⤋
That is the basis of a toy called a Spirograph that was popular in the 60's. The curves you describe are mathematical curves of the variety technically known as hypotrochoids and epitrochoids.
http://en.wikipedia.org/wiki/Hypotrochoid
http://en.wikipedia.org/wiki/Epitrochoid
Good luck!
..........
2006-12-30 04:04:13 · answer #4 · answered by Jerry P 6 · 1⤊ 0⤋
Epycycloids
2006-12-31 02:44:42 · answer #5 · answered by Jan 1 · 0⤊ 0⤋
I expect you've worked it out by now from the answers you have, but the answer for the crossword is EPICYCLOIDS!
2007-01-01 19:33:17 · answer #6 · answered by Anonymous · 0⤊ 0⤋