plane section
Definition
Noun 1. A cross-section: In geometry, a "plane section" is the two-dimensional shape or area that results from the intersection of a plane with a three-dimensional solid object.
Usage
The term "plane section" is used specifically in geometry to describe and analyze the shape formed when a flat plane cuts through a solid. * The plane section of a cube can be a square, a rectangle, or a hexagon, depending on the angle of the cut. * To understand the internal structure, engineers studied the plane section of the mechanical part. * A horizontal plane section of a cone is a circle.
Advanced Usage
- Analysis of Sections: The study of plane sections is fundamental in fields like engineering, architecture, and computer graphics for understanding form, volume, and structural properties.
- By analyzing successive plane sections, they created a 3D model of the fossil.
Variants and Related Words
- Cross-section (n): A common synonym for "plane section," often used in both technical and general contexts.
- The diagram shows a cross-section of the building's foundation.
- Section (n): In geometry, "section" can be used more broadly, but often implies a cut by a plane.
- Intersection (n): The set of points common to the plane and the solid, which defines the boundary of the plane section.
Synonyms
- Cross-section
- Section (in a geometric context)
Related Phrases
- Conic section: A specific and important type of plane section, formed by intersecting a plane with a double cone (e.g., circle, ellipse, parabola, hyperbola).
- A parabola is a conic section.
Noun
-
(geometry) the area created by a plane cutting through a solid
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