-
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...
- 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...
- \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...
- 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...
- 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...
- 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...
-
correspond to the
cusps of its
evolute, the
curve formed by the
centers of
curvature of the
given curve. Thus, the
evolute of any
smooth closed curve has...
-
amount of dispersion. As a mathematician,
Huygens developed the
theory of
evolutes and
wrote on
games of
chance and the
problem of
points in Van Rekeningh...
-
Ptychitidae and, Isculitidae.
Nannites is very small, subglobose,
generally evolute and smooth, with a
rounded venter, and
simple goniatitic sutures. Treatise...
- 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...
