Lectionary Calendar
Thursday, October 2nd, 2025
the Week of Proper 21 / Ordinary 26
Attention!
Tired of seeing ads while studying? Now you can enjoy an "Ads Free" version of the site for as little as 10¢ a day and support a great cause!
Click here to learn more!

Bible Encyclopedias
Strophoid Logocyclic Curve

1911 Encyclopedia Britannica

Search for…
or
A B C D E F G H I J K L M N O P Q R S T U V W Y Z
Prev Entry
Strophe
Next Entry
Stroud
Resource Toolbox

Or FOLIATE, a cubic curve generated by increasing or diminishing the radius vector of a variable point Q on a straight line AB by the distance QC of the point from the foot of the perpendicular drawn from the origin to the fixed line. The polar equation is rcose =a(1 sine), the upper sign referring to the case when the vector is increased, the lower when it is diminished. Both branches are included in the Cartesian equation (x 2 +y 2) ( 2a - x) = a 2 x, where a is the distance of the line from the origin. If we take for axes the fixed line and the perpendicular through the initial point, the equation takes the form y -1 (a - x) = x The curve resembles the folium of Descartes, and has a node between x = o, x= a, and two branches asymptotic to the line x=

Bibliography Information
Chisholm, Hugh, General Editor. Entry for 'Strophoid Logocyclic Curve'. 1911 Encyclopedia Britanica. https://www.studylight.org/​encyclopedias/​eng/​bri/​s/strophoid-logocyclic-curve.html. 1910.
 
adsfree-icon
Ads FreeProfile