Math Tool Set
Draw curves that follow defined equation curves:
The math tool set lets you draw curves that are
defined by common mathematical functions like
parabolas, exponentials, sine waves, and many others
(40 variations in all). The tool set is shown
on the screen shot- the 4 x 10 tool palette upper
left of the drawing area.
Many uses - even if you are not a geometry teacher:
These are the equations and proportions of nature.
For example the Hyperbolic Cosine (the light blue
curve shown in the screen shot below) is the
equation for the shape of a free hanging uniform
cable. It is called the Catenary Curve,
Notice how it's use gives the simple sketch below
the realistic look of a suspension bridge.
Easy to create, orient, and edit:
These elements are created, sized, and oriented with
one mouse motion, click-drag-click just like our
rotated oval. Compare this with the effort required
to draw the heart beat waveform shown below using
free hand techniques. When appropriate
additional control handles are provided for direct
on screen interactive editing of the precise shape
and configuration of the curve. Our
graphic-details drawer (shown in the screen shot to
the right of the drawing canvas) is always available
for exact numerical specification of the curve.

Details on functions available:
The following is a list of the mathematical functions
available on the Math Tool Set. Many functions
exhibit Mirror Symmetry, y(x) = -y(-x). In these
cases two version of the tool are needed because
rotating the graphic may not provide the shape or
orientation desired.
Parabola, y = x**2:
Centered.
Plus,
minus.
Adjustable.
Cubic, y = x**3:
Normal
and mirrored.
Plus and
Minus.
Quartic,
y = x**4:
Centered.
Plus,
minus.
Adjustable.
One Over X, y = 1 / x:
Normal
and Mirrored.
Fifth Order, y = x**5:
Normal
and Mirrored.
Natural Exponential, y = e**x:
Normal
and Mirrored.
Natural Logarithm, y = ln(x):
Normal
and Mirrored.
Tangent,
y = tan(x):
Normal
and Mirrored.
Hyperbolic Sin,
y = sinh(x):
Normal
and Mirrored.
Hyperbolic Tangent,
y = tanh(x):
Normal
and Mirrored.
Hyperbolic Cosine,
y = cosh(x):
Adjustable.
Inverse Quadratic,
y = 1 / (x**2):
Adjustable.
Gaussian Peak:
Bell
Shaped Probability Curve, adjustable.
Lorentzian
Peak:
Quantum
peak shape, adjustable.
Sin X over X, the Fourier Transform Pulse:
Fourier
Transform (or heartbeat) Pulse, adjustable.
Intersecting Radii:
American
Football Shape.
Periodic Wave Forms:
Square
Wave.
Sawtooth
Wave.
Triangle
Wave.
Square
Pulse.
Trigonometric Wave Forms:
Sine
Wave.
Absolute
Value of Sine Wave.
Sine
Cubed Wave.
Absolute
Value of Sine Cubed.