In geometry, a cochleoid is a snail-shaped curve similar to a strophoid which can be represented by the polar equation r = a sin ⁡ θ θ , {\displaystyle r={\frac {a\sin \theta }{\theta }},} the Cartesian equation

Apr 8, 2025 · The cochleoid, whose name means "snail-form" in Latin, was first considered by John Perks as referenced in Wallis et al. (1699). The cochleoid has also been called the oui-ja board curve (Beyer 1987, p. 215). The points of contact of parallel tangents to the cochleoid lie on a …

The cochleoid A plane transcendental curve whose equation in polar coordinates is \begin{equation} \rho = a\frac{\sin\varphi}{\varphi}. \end{equation} The cochleoid has infinitely many spirals, passing through its pole and touching the polar axis (see Fig.).

The cochleoid is the locus of the extremity of an arc of a circle of fixed length a while the other end is fixed and tangent to a fixed straight line. In concrete terms, one can imagine the curve described by the extremity of a plastic pipe with a circular shape when the other end is fixed.

Description: The cochleoid, whose name means "snail-form" in Latin, was first considered by John Perks (1699). to save your graphs! Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

The cochleoid (in English cochleoid, in Italian cocleoide, in Greek Kochlias) draws its name from the snail "shell". It is a flat curve, similar to the vertical projection of the spatial

Sep 18, 2004 · It can be constructed as follows: given a point O and the y-axis. For all circles through O (so tangent to the y-axis), pace a constant distance on the circle. The collection of those points is the cochleoid 3). Another name for the cochleoid is the oui-ja board curve.

Find out information about cochleoid. A plane curve whose equation in polar coordinates is r θ = a sin θ. McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The...

It was discussed by J Peck in 1700. The form given here is due to a Belgium Joseph Neuberg. The name originated in 1884 with writers Benthan and Falkenburg. The points of contact of parallel tangents to the cochleoid lie on a strophoid.

Feb 1, 2012 · There are given details about the cochleoid geometry and there are traced, based on equations, different areas of cochleoid, based on a supporting mechanism. They are shown the laws of...