A circular helix can be conceived of as a space curve with constant, non-zero curvature, and constant, non-zero torsion. Indeed, one can show that if a space curve satisfies the above constraints, then there exists a system of Cartesian coordinates in which the curve has a parameterization of the form shown above.
An important property of the circular helix is that for any point of it, the angle between its tangent and the helix axis is constant. Indeed, if we consider the position vector of that arbitrary point, we have (where is the unit vector parallel to helix axis)
as was to be shown.
and is also a constant.
|Date of creation||2013-03-22 13:23:25|
|Last modified on||2013-03-22 13:23:25|
|Last modified by||rspuzio (6075)|