Equidistance Meaning: Definition, Examples, and Translations
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equidistance
[ษชหkwษชหdษชstษns ]
Definitions
mathematics
The state of being equidistant, or the quality of having the same distance from a central point or line.
Synonyms
equidistantness.
Which Synonym Should You Choose?
| Word | Description / Examples | 
|---|---|
| equidistance | 
                                                                                 Typically used in mathematical or geographical contexts to describe the property of being at equal distances from two or more points. 
  | 
                                                                        
| equidistantness | 
                                                                                 Most commonly used in technical or academic discussions to describe the quality or state of being equidistant. 
  | 
                                                                        
Examples of usage
- The equidistance of the two points from the center was crucial in the geometric calculation.
                                                                                                                    
    
 - In the equilateral triangle, the equidistance of the three sides ensures that all angles are equal.
                                                                                                                    
    
 
general
Equality of distance; the condition of being equidistant.
Synonyms
Which Synonym Should You Choose?
| Word | Description / Examples | 
|---|---|
| equidistance | 
                                                                                 This term, although identical to the previous one, may be used more formally or in technical contexts to describe geometry and spatial arrangements. 
  | 
                                                                        
| evenness | 
                                                                                 Refer to 'evenness' when talking about surfaces being flat or events being balanced in frequency or distribution. 
  | 
                                                                        
| uniformity | 
                                                                                 'Uniformity' is best used when discussing consistency or sameness over time or across different objects or people. 
  | 
                                                                        
Examples of usage
- The equidistance of the trees from each other created a harmonious alignment.
                                                                                                                    
    
 - The equidistance of the markers along the road allowed for accurate measurements.
                                                                                                                    
    
 
Translations
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Interesting Facts
Mathematics
- In geometry, points at equidistance form shapes like circles, where every point on the circle is the same distance from the center.
 - Equidistance is a crucial concept in more advanced mathematics, like coordinate geometry, where it helps define lines and shapes.
 - The idea is also key in calculating midpoints, which can be used in real-world applications like navigation and mapping.
 
Technology
- In computer graphics, understanding equidistance helps in creating realistic models and animations by ensuring elements are evenly spaced.
 - Navigation systems use equidistant principles to help generate routes that maintain equal spacing between waypoints.
 - Telecommunications rely on the concept to optimize signal coverage, ensuring equal service distance in cellular networks.
 
Physics
- In physics, equidistances are often discussed in relation to gravitational fields, where force is distributed evenly around an object.
 - It helps in understanding concepts like wave propagation, where waves move outwards equally from a source.
 - The notion plays a role in explaining certain properties of atoms, where the distribution of electrons can be seen as being at equidistance from the nucleus.
 
Art
- In visual arts, artists use the concept of equidistance to create balance and harmony in compositions.
 - Photographers may use equidistant spacing to guide the viewerโs eye across the image, creating a sense of movement and dynamism.
 - Designers employ equidistant layouts to enhance usability in web development, ensuring elements are spaced effectively for user experience.
 
Origin of 'equidistance'
Main points about word origin
- The word comes from Latin 'aequidistantia', with 'aequi' meaning 'equal' and 'distans' meaning 'distant'.
 - It emerged in English usage during the 19th century, blending mathematical concepts with physical space.
 - The root words reflect a mathematical idea that has been essential in geometry for centuries.
 
The word 'equidistance' is derived from the combination of the prefix 'equi-' meaning equal, and 'distance'. It first appeared in the English language in the mid-19th century. The concept of equidistance has been widely used in various fields such as mathematics, geography, and architecture to denote equal distances from a common point or line.
See also: distances, outdistance.