Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
space curve
|
| gptkbp:component |
curvature
normal vector torsion binormal vector tangent vector |
| gptkbp:describes |
kinematics of a particle along a space curve
|
| gptkbp:expressedIn |
derivatives of tangent, normal, and binormal vectors
|
| gptkbp:field |
differential geometry
|
| gptkbp:hasEquation |
dB/ds = -τN
dN/ds = -κT + τB dT/ds = κN |
| https://www.w3.org/2000/01/rdf-schema#label |
Frenet–Serret formulas
|
| gptkbp:introduced |
gptkb:Jean_Frédéric_Frenet
gptkb:Joseph_Alfred_Serret |
| gptkbp:introducedIn |
1847
1851 |
| gptkbp:involves |
curvature
torsion |
| gptkbp:namedAfter |
gptkb:Jean_Frédéric_Frenet
gptkb:Joseph_Alfred_Serret |
| gptkbp:notation |
T, N, B for tangent, normal, binormal
κ for curvature τ for torsion |
| gptkbp:relatedTo |
gptkb:Frenet_frame
gptkb:Serret–Frenet_frame differential geometry of curves |
| gptkbp:usedIn |
engineering
physics theory of curves |
| gptkbp:bfsParent |
gptkb:John_Serret
|
| gptkbp:bfsLayer |
7
|