HALF PLANE Meaning and
Definition
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A half plane refers to a geometric concept that is widely used in mathematics and geometry. Specifically, it relates to a portion of a plane that is divided by a straight line. This dividing line acts as a boundary, splitting the plane into two distinct regions. One region is included in the half plane, while the other region is excluded.
Typically, a half plane is defined as the collection of points on one side of the dividing line and extends indefinitely in that direction. However, the half plane does not include any points on the dividing line itself. The boundary line plays a crucial role in determining which points are included in the half plane.
The concept of a half plane finds extensive applications in various branches of mathematics. It is particularly useful in the field of geometry, where it aids in describing and analyzing geometric figures and relationships. The idea of a half plane is often employed to discuss properties of angles, line segments, polygons, and other geometric objects.
In algebraic terms, a half plane can be represented using an inequality. By specifying a linear equation, one side of the plane is defined as having all points satisfying the inequality while the other side does not. This mathematical representation enables the precise characterization and manipulation of half planes in various mathematical contexts.
Common Misspellings for HALF PLANE
- galf plane
- balf plane
- nalf plane
- jalf plane
- ualf plane
- yalf plane
- hzlf plane
- hslf plane
- hwlf plane
- hqlf plane
- hakf plane
- hapf plane
- haof plane
- hald plane
- halc plane
- halv plane
- halg plane
- halt plane
- halr plane
- half olane
Etymology of HALF PLANE
The word "half plane" is derived from the combination of two words: "half" and "plane".
The term "half" originated from the Old English word "half", which means "one of two equal parts". It can be traced back to the Old Norse word "halfur" and the Proto-Germanic word "*halba-". These roots are related to the Latin word "albus", meaning "white", as a reference to the brightness of daylight that only covers half of a day.
The word "plane" comes from the Latin word "planus", meaning "flat" or "level". In mathematics and geometry, a plane represents a two-dimensional flat surface that extends infinitely in all directions, often visualized as a sheet of paper or a tabletop.
