Euclid's Muse

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Search Results for “parameter”

By Phil Todd
Scotch Yoke with Parameters
Can you work out which parameters change the amplitude, frequency and displacement of the output function?

Tags: sin, mechanism

By Phil Todd
Parabola Parametrization
Investigate the characteristics of the standard parametrization of a parabola.

Tags: parabola, conic-section, parameter

By Phil Todd
Four Bar linkage with line
The line has equation Ax+By+C=0 You can change line parameters and observe its location relative to the coupler curve. You can also press teh F button to see the coordinates of the coupler point F.

Tags: mechanism, linkage

By Phil Todd
I beam
Change the parameters and change the geometry of the beam.

Tags: I-beam, geometry, parametric

By Phil Todd
Scotch Yoke
This mechanism generates sinusoidal motion. Imagine a pen at F tracing on paper moving from left to right at velocity v. What parameter do you need to change to alter the amplitude of the curve? How about the period?

Tags: Scotch-Yoke, mechanism, sin

By Phil Todd
Minimum Inscribed Perimeter 2
The problem – find the triangle with minimal perimeter that can be inscribed in a given triangle. The solution:  reflection helps reduce the problem to a single parameter. The answer: is geometrically appealing. Can you solve it without using the hint?

Tags: triangle, Fagnano

By Duncan
Fourier Series
Try different values for the parameters, to generate different waveforms.

Tags: Fourier, waveform, trigonometry

By Phil Todd
parabola envelope
We use a trick to let the trace "open up" as you drag a point. The trick is this:  an initial point is given parametric location s*t, create a tangent at this point and its envelope as s varies. Now hide the original point and create another point with parameter t, and make it draggable. Dragging the new point changes the value of t and we see a trace from 0 to t.  

Tags: parabola, envelope

By Phil Todd
Spline Approximation
Spline approximation to a quarter unit circle.  Can you find the best value for parameter a?

Tags: spline, circle

By Phil Todd
Cam with reciprocating roller follower
Alter the parameters of the output curve and follower geometry, and see the cam shape change.

Tags: cam, sine


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