witch of agnesi
Very LowTechnical / Academic
Definition
Meaning
A specific cubic plane curve in mathematics, also known as the versiera.
A mathematical curve studied in calculus and analytic geometry, historically named due to a mistranslation of the Italian term 'versiera' (meaning 'curve' or 'turning') which was confused with 'avversiera' (meaning 'witch' or 'female devil'). It has no connection to witchcraft.
Linguistics
Semantic Notes
The term is used exclusively in mathematical contexts. Its name is a historical curiosity stemming from a translation error. It refers to a curve defined by the equation y = 8a³/(x² + 4a²).
Dialectal Variation
British vs American Usage
Differences
No significant differences in usage; the term is identical in both mathematical communities.
Connotations
Purely mathematical, with a historical anecdote about its naming.
Frequency
Equally rare in both UK and US academic English, encountered primarily in advanced mathematics textbooks or history of mathematics.
Vocabulary
Collocations
Grammar
Valency Patterns
The [witch of Agnesi] is a classic example.Plot/Draw/Graph the [witch of Agnesi].The equation for the [witch of Agnesi] is...Vocabulary
Synonyms
Strong
Neutral
Weak
Vocabulary
Antonyms
Phrases
Idioms & Phrases
- “None”
Usage
Context Usage
Business
Not used.
Academic
Used in advanced mathematics, history of mathematics, or calculus courses.
Everyday
Virtually never used.
Technical
The primary context; refers to a specific mathematical curve.
Examples
By Part of Speech
verb
British English
- The tutor asked us to plot the curve known as the witch of Agnesi.
- We can parametrise the witch of Agnesi.
American English
- The problem set involved graphing the witch of Agnesi.
- Let's derive the equation for the witch of Agnesi.
adjective
British English
- The witch-of-Agnesi curve has interesting asymptotic properties.
- It's a classic witch-of-Agnesi problem.
American English
- We analyzed the witch-of-Agnesi function.
- He presented a witch-of-Agnesi example.
Examples
By CEFR Level
- The witch of Agnesi is a famous curve in the history of mathematics.
- Maria Agnesi wrote about this curve in the 18th century.
- The witch of Agnesi, defined by the equation y = 8a³/(x² + 4a²), provides a compelling example of a curve with a local maximum and asymptotes.
- A common exercise in calculus is to find the area under the witch of Agnesi or the volume of its solid of revolution.
Learning
Memory Aids
Mnemonic
Imagine a witch's hat with a very specific, smooth, bell-shaped curve — that's the 'witch' (due to a mistranslation) studied by mathematician Maria Agnesi.
Conceptual Metaphor
A SHAPE IS AN ENTITY (a witch).
Watch out
Common Pitfalls
Translation Traps (for Russian speakers)
- Do not translate 'witch' literally as 'ведьма' in a mathematical context; the standard term is 'верзьера' or 'кривая Аньези'.
- The phrase is a fixed mathematical term, not a description of a magical person.
Common Mistakes
- Capitalising 'witch' in the middle of the phrase (e.g., 'Witch of Agnesi').
- Omitting 'of' (e.g., 'witch Agnesi').
- Mispronouncing 'Agnesi' (common: /æɡˈniːzi/; correct: /ænˈjeɪzi/ or /ɑːnˈjeɪzi/).
Practice
Quiz
What is the 'witch of Agnesi' primarily?
FAQ
Frequently Asked Questions
No, it is not. The name comes from a mistranslation of the Italian word 'versiera', which means 'curve'. It was mistakenly linked to 'avversiera' (witch).
Maria Gaetana Agnesi (1718-1799) was an Italian mathematician, philosopher, and philanthropist. She was one of the first women to write a mathematics textbook.
Almost exclusively in university-level mathematics courses, particularly in calculus, analytic geometry, or the history of mathematics.
No, it is a very specialised, low-frequency term known mainly within mathematical and academic historical circles.