STROPHOID L0G0CYCLIC See also:

• CURVE (Lat. curvus, bent)

CURVE  or FOLIATE, a cubic See also:

• CURVE (Lat. curvus, bent)

curve generated by increasing or diminishing the See also:

• RADIUS

radius vector of a variable point Q on a straight See also:

• LINE

line AB by the distance QC of the point from the See also:

• FOOT

foot of the perpendicular See also:

• DRAWN

drawn from the origin to the fixed line . The polar See also:

• EQUATION (from Lat. aequatio, aequare, to equalize)

equation is rcosO =a(r t sing), the upper sign referring to the See also:

• CASE
• CASE, JOHN (d. 1600)

case when the vector is increased, the See also:

• LOWER

lower when it is diminished . Both branches are included in the Cartesian equation (x2+y2) (2a—x) =a2x, 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 See also:

• FORM (Lat. forma)

form y sl (a—x) =x Al (a+x) . The curve resembles the See also:

• FOLIUM

folium of See also:

• DESCARTES, RENE (1596-1650)

Descartes, and has a See also:

• NODE (Lat. nodus, a loop)

node between x = o, x = a, and two branches asymptotic to the line x=-- 2a .