-
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...
- 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...
- all the
osculating circles (also
called "centers of curvature") is the
evolute of the curve. If the
derivative of
curvature κ'(t) is zero, then the osculating...
-
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...
- 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...
-
light forces are
locked in an
eternal battle while being two
sides (or
evolutes) of the same "Force", the
force of time
itself (Zurvan)—the
prime mover...
- (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....
