-
shape will be the
evolute of that curve. The
evolute of a
circle is
therefore a
single point at its center. Equivalently, an
evolute is the
envelope of...
- used), cubocycloid, and paracycle. It is
nearly identical in form to the
evolute of an ellipse. If the
radius of the
fixed circle is a then the equation...
- \varphi +\cos 3\varphi ,3\sin \varphi +\sin 3\varphi )} (see above). The
evolute of a
curve is the
locus of
centers of curvature. In detail: For a curve...
- as the
string is
either unwrapped from or
wrapped around the curve. The
evolute of an
involute is the
original curve. It is
generalized by the roulette...
- curvature, form
another curve,
called the
evolute of C.
Vertices of C
correspond to
singular points on its
evolute.
Within any arc of a
curve C
within which...
-
perimeter of the
circle k{\displaystyle k}, one gets a limaçon of Pascal. The
evolute of a
curve is the
locus of
centers of curvature. In detail: For a curve...
- An
ellipse (red) and its
evolute (blue). The dots are the
vertices of the ellipse, at the
points of
greatest and
least curvature....
- Anahoplites).
Where it does not
cover those preceding, the
specimen is said to be
evolute (e.g., Dactylioceras). A thin
living tube
called a
siphuncle p****ed through...
- Mamikon's theorem. The
envelope of the
normals of the
tractrix (that is, the
evolute of the tractrix) is the
catenary (or
chain curve)
given by y = a cosh x/a...
- (red) and its
evolute (blue), the
locus of its
centers of curvature. The four
marked vertices of the
ellipse correspond to the four
cusps of the
evolute....
