University:
La Salle University
Course:
MTH 330 | Modern Geometries
Academic year:

2021
Views:

439

Pages:

1
Author:

Marin Mason

Geometric Definitions A point is an exact location in space. A point describes a location, but has no size. Dots are used to represent points in pictures and diagrams. These points are said “Point A,” “Point L”, and “Point F.” Points are labeled with a CAPITAL letter. A line is a set of infinitely many points that extend forever in both directions. A line, like a point, does not take up space. It has direction, location and is always straight. Lines are one-dimensional because they only have length (no width). A line can by named or identified using any two points on that line or with a lower-case, italicized letter. This line can be labeled PQ←→, QP←→ or just g. You would say “line PQ,” “line QP,” or “line g,” respectively. Notice that the line over the PQ←→and QP←→ has arrows over both the P and Q. The order of P and Q does not matter. A plane is infinitely many intersecting lines that extend forever in all directions. Think of a plane as a huge sheet of paper that goes on forever. Planes are considered to be two-dimensional because they have a length and a width. A plane can be classified by any three points in the plane. This plane would be labeled Plane ABC or Plane . Again, the order of the letters does not matter. We can use point, line, and plane to define new terms. Space is the set of all points extending in three dimensions. Think back to the plane. It extended along two different lines: up and down, and side to side. If we add a third direction, we have something that looks like three-dimensional space, or the real-world.

Geometric Definitions

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