Last Updated
：2025/11/25
conchoid
Noun
(mathematics,
geometry)
Any
of
a
family
of
curves
defined
as
the
locus
of
points
p,
such
that
each
p
is
on
a
line
that
passes
through
a
given
fixed
point
P
and
intersects
a
given
curve,
C,
and
the
distance
from
p
to
the
point
of
intersection
with
C
is
a
specified
constant
(note
that
for
nontrivial
cases
two
such
points
p
satisfy
the
criteria,
and
the
resultant
curve
has
two
parts).
Japanese Meaning
幾何学において、与えられた固定点Pと曲線Cに対し、各点pがPを通る直線上に存在し、その直線がCと交差する点から一定の距離離れた位置にあることを条件とする点の軌跡、すなわちそのような条件を満たす点全体がなす曲線。
Sense（1）
(mathematics,
geometry)
Any
of
a
family
of
curves
defined
as
the
locus
of
points
p,
such
that
each
p
is
on
a
line
that
passes
through
a
given
fixed
point
P
and
intersects
a
given
curve,
C,
and
the
distance
from
p
to
the
point
of
intersection
with
C
is
a
specified
constant
(note
that
for
nontrivial
cases
two
such
points
p
satisfy
the
criteria,
and
the
resultant
curve
has
two
parts).
（ plural ）
Quizzes for review
(mathematics, geometry) Any of a family of curves defined as the locus of points p, such that each p is on a line that passes through a given fixed point P and intersects a given curve, C, and the distance from p to the point of intersection with C is a specified constant (note that for nontrivial cases two such points p satisfy the criteria, and the resultant curve has two parts).
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See correct answer
conchoid
During the seminar, the professor used a conchoid to demonstrate how fixing a point and a distance relative to another curve produces two distinct branches.
See correct answer
During the seminar, the professor used a conchoid to demonstrate how fixing a point and a distance relative to another curve produces two distinct branches.
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