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sectrix

 

Definitions from the Web

Sectrix

Definition

A sectrix is a curve generated by the motion of a point on a line which rolls tangentially on another line.

In mathematics, the sectrix is often used to trisect an angle or construct the logarithmic spiral.

Senses

Sense 1: Geometry

In geometry, a sectrix refers to a curve that is formed by the motion of a known point on a straight line as it rotates on another straight line that it touches tangentially.

Example: The sectrix of a semicircle is a logarithmic spiral.

Sense 2: Trigonometry

In trigonometry, a sectrix is used to construct trigonometric functions, especially the trisection of an angle.

Example: Use the sectrix method to divide the given angle into three equal parts.

Usages

Usage 1: Mathematics

When studying mathematics, it is essential to understand the properties and applications of sectrix curves.

Sample sentence: The mathematician used the sectrix to solve complex geometric problems.

Usage 2: Construction

Sectrix curves can be utilized in architectural designs to create intricate patterns and aesthetically pleasing structures.

Sample sentence: The architect incorporated sectrix curves in the building's facade, giving it an elegant and unique look.

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