Euclid's Muse

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Search Results for “parametrization”

By Phil Todd
Ellipse Parametrization
We examine a standard parametrization of an ellipse.

Tags: ellipse, conic-section, parametrization

By saltirenews
Morph curve depends on the parametrization of the circle
The form of the morph curve does depend on how the original curves are parametrized. Changing the parametrization of the original curves does not change their appearance when displayed, but it does change the appearance of the morph curve.

Tags: Clocks, Morph-curve

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

Tags: parabola, conic-section, parameter

By Phil Todd
Hyperbolic clock
Can you tell the time with a hyperbolic clock?

Tags: hyperbola, parametrization

By saltirenews
Morph a circle into a line
A morphing operation can be defined between any pair of parametric curves, open or closed. This app shows morphing a circle into a line segment.  Try moving the location of the destination line segment relative to the start of the circle’s parametrization by dragging the red dots to get different morph curves.

Tags: morph-circle-into-line, clocks, morph-clock-explained

By Phil Todd
hyperbolic clock with explanation
The hyperbolic clock is all about the parametrization.  Press the explain button to see why it moves the way it does.

Tags: hyperbola, clock


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