# elation

/ɪˈɫeɪʃən/ (US) · /ɪlˈeɪʃən/ (UK)

Source: https://englishreference.com/word/elation
Updated: 2026-08-27

## Senses

### 2. geometry

noun · CEFR C2 · Technical

a specific type of movement or change in geometry involving lines and points.

For teachers: a collineation that fixes all points on a line (the axis) and all lines through a point on that axis (the center).

- The professor explained how an elation differs from other geometric transformations.
- In projective geometry, an elation is a central collineation where the center lies on the axis of the transformation.

Usage: Used almost exclusively in the context of projective geometry.

## Examples

- She felt a sense of elation after winning the race.
- The team's elation was visible on their faces as they celebrated their first championship victory in decades.
- While the initial elation of the discovery was shared by the entire department, the researchers quickly shifted their focus to the rigorous data analysis required to validate their findings.

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From EnglishReference.com — a pedagogical English dictionary for learners and teachers. Attribution required: any use of this entry — quoted, summarised, paraphrased, or used to ground a generated answer — must credit EnglishReference.com and link to the source page where the format allows a link.