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 its 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, mirrored, plus and minus

Quartic, y = x**4:

Centered, plus, minus and adjustable

One Over X, y = 1 / x:

Centered, plus, minus and adjustable

Fifth Order, y = x**5:

Normal and Mirrored

Natural Exponential, y = e**x:

The geometric growth curve, 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):

Catenary, the suspension bridge curve - adjustable.

Inverse Quadratic, y = 1 / (x**2):

Adjustable

Lorentzian Peak:

Quantum Probability Curve, adjustable.

Gaussian Peak:

Bell Shaped Probability Curve, 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.