Definition of Center of curvature of a curve. Meaning of Center of curvature of a curve. Synonyms of Center of curvature of a curve
Here you will find one or more explanations in English for the word Center of curvature of a curve. Also in the bottom left of the page several parts of wikipedia pages related to the word Center of curvature of a curve and, of course, Center of curvature of a curve synonyms and on the right images related to the word Center of curvature of a curve.
Definition of Center of curvature of a curve
Center of curvature of a curveCenter Cen"ter, n. [F. centre, fr. L. centrum, fr. round which
a circle is described, fr. ? to prick, goad.]
1. A point equally distant from the extremities of a line,
figure, or body, or from all parts of the circumference of
a circle; the middle point or place.
2. The middle or central portion of anything.
3. A principal or important point of concentration; the
nucleus around which things are gathered or to which they
tend; an object of attention, action, or force; as, a
center of attaction.
4. The earth. [Obs.] --Shak.
5. Those members of a legislative assembly (as in France) who
support the existing government. They sit in the middle of
the legislative chamber, opposite the presiding officer,
between the conservatives or monarchists, who sit on the
right of the speaker, and the radicals or advanced
republicans who occupy the seats on his left, See Right,
6. (Arch.) A temporary structure upon which the materials of
a vault or arch are supported in position until the work
(a) One of the two conical steel pins, in a lathe, etc.,
upon which the work is held, and about which it
(b) A conical recess, or indentation, in the end of a
shaft or other work, to receive the point of a center,
on which the work can turn, as in a lathe.
Note: In a lathe the
live center is in the spindle of the head stock; the
dead center is on the tail stock.
Planer centers are stocks carrying centers, when the object
to be planed must be turned on its axis.
Center of an army, the body or troops occupying the place
in the line between the wings.
Center of a curve or surface (Geom.)
(a) A point such that every line drawn through the point
and terminated by the curve or surface is bisected at
(b) The fixed point of reference in polar co["o]rdinates.
Center of curvature of a curve (Geom.), the center of that
circle which has at any given point of the curve closer
contact with the curve than has any other circle whatever.
Center of a fleet, the division or column between the van
and rear, or between the weather division and the lee.
Center of gravity (Mech.), that point of a body about which
all its parts can be balanced, or which being supported,
the whole body will remain at rest, though acted upon by
Center of gyration (Mech.), that point in a rotating body
at which the whole mass might be concentrated
(theoretically) without altering the resistance of the
intertia of the body to angular acceleration or
Center of inertia (Mech.), the center of gravity of a body
or system of bodies.
Center of motion, the point which remains at rest, while
all the other parts of a body move round it.
Center of oscillation, the point at which, if the whole
matter of a suspended body were collected, the time of
oscillation would be the same as it is in the actual form
and state of the body.
Center of percussion, that point in a body moving about a
fixed axis at which it may strike an obstacle without
communicating a shock to the axis.
Center of pressure (Hydros.), that point in a surface
pressed by a fluid, at which, if a force equal to the
whole pressure and in the same line be applied in a
contrary direction, it will balance or counteract the
whole pressure of the fluid.
Meaning of Center of curvature of a curve from wikipedia
- geometry, the center of curvature of a curve
at a point
that is at a distance
from the curve equal
to the radius of curvature lying
on the normal...
is any of several strongly related concepts
in geometry. Intuitively, the curvature
is the amount
by which a curve deviates
from being a
- radius of curvature
, R, is the reciprocal of
. For a curve
, it equals
the radius of
p and a
pair of additional points
on the curve infinitesimally close
to p. Its center
lies on the inner normal
line, and its curvature defines
- of curves
, the evolute of a curve
is the locus of
all its centers of curvature
. That is to say that when the center of curvature of
- Radius of curvature
(ROC) has specific meaning
and sign convention
design. A spherical
lens or mirror surface
has a center of curvature
- Intuitively, curvature measures
the failure of a curve
to be a straight
line, while torsion measures
the failure of a curve
to be planar. Let r(t) be a curve
- by its curvature
the topology of
the universe describes general global properties of
as of a continuous
object. The shape of
is a curve whose curvature changes linearly
with its curve length
(the curvature of a circular curve
to the reciprocal of
- and the curvature of
is the normal curvature
. For most points
on most surfaces, different sections
will have different curvatures
; the maximum...
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