parametre
Parametre means often a quantity which is considered as constant in a certain situation but which may take different values in other situations; so the parametre is a “variable constant”. But in giving a curve or a surface in parametric form, the parametres work as proper variables which determine the values of the coordinates of the points; then we can describe the parametres as “auxiliary variables”.
The parametric
of the origin-centered circle of parametres: (the radius) is a variable constant which is held constant all the time when one considers one circle; is an auxiliary variable which has to get all real values (e.g. from the interval ) for obtaining all points of the perimetre.
In the analytic geometry, one speaks of the parametre of parabola (a.k.a. latus rectum): it means the chord of the parabola which is perpendicular to the axis and goes through the focus; it is the quantity in the standard equation of the parabola ( is the distance of the focus and the directrix).
Title | parametre |
Canonical name | Parametre |
Date of creation | 2013-03-22 17:06:59 |
Last modified on | 2013-03-22 17:06:59 |
Owner | pahio (2872) |
Last modified by | pahio (2872) |
Numerical id | 17 |
Author | pahio (2872) |
Entry type | Definition |
Classification | msc 00A05 |
Synonym | parameter |
Related topic | Indeterminate |
Related topic | DerivativeForParametricForm |
Related topic | Curve |
Related topic | PerimeterOfAstroid |
Related topic | CissoidOfDiocles |
Related topic | Variable |
Related topic | SurfaceNormal |
Defines | auxiliary variable |
Defines | parametric form |
Defines | parametric presentation |
Defines | parameter of parabola |