きょくせん曲線kyokusen
1.

A continuous line that bends smoothly without sharp angles or points, forming a shape that can be classified in various geometric contexts.

2.

A representation of beauty characterized by smooth, flowing shapes, often associated with the aesthetic qualities of the human body, particularly in the context of femininity.

3.

A type of line that is not straight, often used in mathematics to denote any non-linear path, where straight lines can also be considered as a specific case of curves.

4.

A line that smoothly transitions from one point to another through a series of gentle bends, often used in artistic or design contexts to create visually appealing forms.

きょくせんび曲線美kyokusenbi
1.

A concept that refers to the beauty characterized by smooth, flowing curves, particularly in artistic or natural forms.

2.

The aesthetic appeal found in the graceful and harmonious shapes created by curved lines, often associated with the human body, especially female figures.

3.

An appreciation for visual qualities that derive from the presence of curves, contrasting with angular or rigid forms, highlighting elegance and softness.

そうきょくせん双曲線soukyokusen
1.

A geometric curve in a plane, which is formed by the set of all points where the absolute difference in distances to two fixed points (foci) remains constant, typically resembling two mirrored arcs that extend infinitely and approach straight lines known as asymptotes.

2.

A specific type of conic section that represents the trajectory of points that maintain a consistent difference in distance from two designated foci, mathematically expressed in its standard form equation as \( x²/a² - y²/b² = 1 \).

3.

A curve characterized by its two branches that extend indefinitely, created when a vertical plane intersects a double cone in a manner that does not pass through its vertex, illustrating the relationship inherent in inverse variation.