English Dictionary

conchoid

名詞

(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).

日本語の意味

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。

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.

セミナーで、教授は与えられた点を通る直線上で与えられた曲線との交点から一定距離にある点全体の軌跡として定義される曲線を用いて、ある点と距離を固定すると二つに分かれる枝が生じることを示した。

意味（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).

The conchoid of a circle with respect to a point on the circle is a cardioid if the fixed distance is equal to the diameter of the circle.

意味（2）

(geology) A conchoidal fracture in rock.

Conchoids of sound rock, from a few feet to 20 or more feet in diameter, entirely surrounded by comparatively thin layers of weathered material, were frequently encountered, sometimes in adjacent series.

conchoids （ plural ）