Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
Lissajous figure
|
| gptkbp:application |
signal analysis
harmonic motion oscilloscope patterns |
| gptkbp:category |
plane curves
parametric curves |
| gptkbp:describedBy |
parametric equations
|
| gptkbp:dimensions |
2D
|
| gptkbp:discoveredBy |
1857
|
| gptkbp:field |
gptkb:mathematics
physics |
| gptkbp:frequency |
a:b
|
| gptkbp:hasEquation |
x = A sin(at + δ)
y = B sin(bt) |
| gptkbp:hasSpecialCase |
circle (when a = b, δ = π/2)
ellipse (when a = b, δ ≠ π/2) line (when δ = 0 or π, a = b) |
| https://www.w3.org/2000/01/rdf-schema#label |
Lissajous curve
|
| gptkbp:namedAfter |
gptkb:Jules_Antoine_Lissajous
|
| gptkbp:parameter |
A (amplitude)
B (amplitude) a (angular frequency) b (angular frequency) δ (phase difference) |
| gptkbp:relatedTo |
Fourier analysis
harmonic oscillator |
| gptkbp:symmetry |
depends on frequency ratio
|
| gptkbp:visualizes |
oscilloscope
|
| gptkbp:bfsParent |
gptkb:Lagrange_point
|
| gptkbp:bfsLayer |
5
|