Lissajous figure, also called Bowditch Curve, pattern produced by the intersection of two sinusoidal curves the axes of which are at right angles to each other. ... Lissajous used a narrow stream of sand pouring from the base of a compound pendulum to produce the curves.

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2. LISSAJOUS PATTERN
Scientists :
•Nathaniel Bowditch In 1815
•Jules Antoine Lissajous In 1857
Definition
•Any of an infinite variety of curves
formed by combining two mutually
perpendicular simple harmonic motions ,
commonly exhibited by the oscilloscope
, and used in studying frequency,
amplitude, and phase relations of
harmonic variables
:

3. PLOTTING OF PARAMATRIC EQUATIONS
 A set of equations that express
a set of quantities as explicit
functions of a number of
independent variables
X=Asin(at+Δ) Y=Bsin(bt)
Formation of Lissajous Pattern
 Lissajous Patterns are formed
when you combine periodic
waves moving back and forth
with periodic waves moving up
and down
 We can generate this pattern
by applying signals horizontal
and vertical inputs of an
oscilloscope.

4. FREQUENCY MEASUREMENT
BY LISSAJOUS METHOD:
The fv = fh pattern stands still
and is a single circle or ellipse.
The fractional relationship
between the two frequencies is
determined by counting the
number of cycles in the vertical
and horizontal.
Fv/Fh = No of horizontal
tangencies/No of vertical
tangencies