# Euclid's Muse

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# Trammels

Exploring Archimedes Trammel, an ancient tool for drawing ellipses.

Tags: trammel, curves

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#### Collection Contents:

##### Trammel foci
Altering |AB| and |AC| changes the ellipse. Can you find a relationship between |AB|, AC| and |DE|, the distance between the foci?

Tags: ellipse, foci, trammel, principal-axes

##### Inverted Trammel
Archimedes trammel draws an ellipse if you fix the base and move the handle. What happens if you fix the handle and move the base? Drag point D to find out. See the curve.

Tags: trammel, ellipse

##### Inverted Trammel 2
Archimedes trammel draws an ellipse if used properly. Turning the trammel upside down gives a curve which is certainly not an ellipse.

Tags: Trammel-2

##### supertrammel
Archimedes Trammel has 2 sliders and 1 degree of freedom.  This ”supertrammel” has 3 sliders and still has 1 degree of freedom.  We made one out of wood and enjoyed playing with it. You can play with this electronic reproduction.

Tags: trammel, cycloid