Why is a curve one-dimensional
One-dimensional geometric objects:
Below are all known one-dimensional geometric objectsdiscussed.
1-D is an abbreviation for one-dimensional objects.
As a rule, these have a linear structure.
A Point is one-dimensional (it has neither width, length nor depth).
But it designates a clear position (a place).
It is designated with a capital letter e.g. A
There are two main uses for the use of points:
a) Labeling of the corner points of geometric figures
b) for representations in the coordinate system defined by the "x / y" variables.
The route is the shortest connection between two points (e.g. as the crow flies between two locations).
In other words, the line is a one-dimensional structure, a straight line segment that has a starting point (e.g. A) and an end point (e.g. B).
A route is mathematically designated with [AB], the length of the route with | AB |.
A Just is a one-dimensional structure that is unlimited in both directions.
It therefore has no start point and end point.
Every straight line can be represented as a linear function.
Straight lines are designated with lower case letters e.g. g
Two straight lines in the plane can be parallel, intersecting or identical to each other
Two straight lines in space can be parallel, intersecting, or identical to one another
A beamhas a starting point but no end point.
It is therefore infinitely long.
The ray is also called a half-line.
A ray has an orientation that is determined by its starting point.
A point divides a straight line into two half-straight lines.
The ray is thus closely related to the term interval:
An interval can be defined as the intersection of two half-lines.
A Curve (Latin curvus = "bent") represents a one-dimensional object in mathematics, as one can only move on it in one direction or in the opposite direction.
The geometric point test
The geometric half-line test
The geometric route test
The straight test
PDF sheets for printing:
Geometric objects 1-D leaflet
Geometric object 1-D exercise sheet
Geometrical object 1-D exercise sheet 2
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