# Search Results for “conchoid”

##### Nicomeded Conchoid Apparatus

This illustrates the apparatus used to draw Nicomedes Conchoid. The conchoid was used by Nicomedes in a geometric construction for extracting a cube root.##### Circle isotomic and Conchoid

The circle isotomic with respect to P is the locus of the reflection of P in the tangents of the circle. The Conchoid is the locus of the points a given fixed distance from a point on the circle, and lying on a line through that point and P.##### Nicomedes Conchoid Clock

This device is illustrated in Eustocius Commentaries on Archimedes (well.. not the clock part of it, I admit.)##### Circle Conchoid

Given a curve and a point (the pole) a conchoid is formed by offsetting the curve by a fixed distance along a line through the pole. Imagine that the purple points are fixed on the hands, but free to slide in the circular groove, while the hands are forced to pass through the red point. You can drag the red point and see how the conchoid varies.##### Nicomedes Conchoid

Nicomedes Conchoid is described in Eutocius' commentaries of Archimedes' book on Spheres and Cylinders. Archimedes glibly describes finding*two mean proportionals*(equivalent to extracting a cube root). Eutocius describes a dozen more or less slippery ways of doing this. One involves a drawing apparatus invented by Nicomedes, on which this clock is based. Drag the red point to vary the curve.