The curve traced by a point on the circumference of a circle as it rolls without slipping along a straight line. The length of the arc formed by one revolution of the circle is 8r, where r is the radius of the circle. The horizontal distance between cusps is 2πr.
The curve traced out by a point P on the circumference of a circle of radius a that rolls without slipping along a straight line. The cycloid has parametric equations x = a(t−sint), y = a(1−cost) (t∈ℝ). In the figure, OA = 2πa. (See brachistochrone.)
Tracing a cycloid
- fluid mosaic model
- fluid shift
- fluid stressing
- flukes
- flume
- flumen
- flumina
- flunitrazepam
- fluorescein
- fluorescence
- Fluorescence Explorer
- fluorescence in situ hybridization
- fluorescence microscopy
- fluorescence spectroscopy
- fluorescent lamp
- fluorescent light
- fluorescent protein
- fluorescent screen
- fluoridation
- fluoride
- fluoridization
- fluorination
- fluorine
- fluorite
- fluorite structure