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Term: Plane Section

Definition: In geometry, a plane section refers to the shape obtained by intersecting a plane with a three-dimensional object.

Sense 1 as a noun (Mathematics):

In mathematics, a plane section is a two-dimensional shape obtained by slicing through a three-dimensional object with a plane.

Example sentence:

When a cone is intersected with a plane, the resulting plane section can be a circle, an ellipse, a parabola, or a hyperbola.

Sense 2 as a noun (Engineering):

In engineering and architecture, a plane section represents a horizontal or vertical cross-section of a building, bridge, or any other structure.

Example sentence:

The architect analyzed the plane section of the building to ensure that the design was structurally sound.

Sense 3 as a noun (Physics):

In physics, a plane section refers to the slice obtained from cutting through a volume of space with a flat surface.

Example sentence:

By analyzing the plane sections of a magnetic field, scientists can study the distribution and intensity of its flux lines.

Sense 4 as a noun (Art):

In art, a plane section represents the two-dimensional view of a three-dimensional object obtained by cutting it with a plane.

Example sentence:

The sculpture showcased the beautiful plane sections of a human body, emphasizing the elegance of its curves.

Sense 5 as a noun (Astronomy):

In astronomy, a plane section refers to the apparent intersection of an orbital plane with the celestial sphere.

Example sentence:

The plane section of Earth's orbit provides the basis for astronomers to determine the dates of equinoxes and solstices.