Hudde’s rules

E686901

algebraic technique historical calculus precursor mathematical method

Hudde’s rules are a set of 17th-century algebraic techniques for finding maxima, minima, and multiple roots of equations, regarded as an early contribution to the development of calculus.

Try in SPARQL Jump to: Surface forms Statements Referenced by

All labels observed (1)

Label	Occurrences
Hudde’s rules canonical	1

Statements (39)

Predicate	Object
instanceOf	algebraic technique ⓘ historical calculus precursor ⓘ mathematical method ⓘ
appliesTo	algebraic equations ⓘ polynomial equations ⓘ
basedOn	symbolic algebra ⓘ
countryOfOrigin	Dutch Republic ⓘ
describedAs	early contribution to the development of calculus ⓘ
developedInCentury	17th century ⓘ
documentedIn	17th-century mathematical correspondence ⓘ
field	algebra ⓘ calculus ⓘ mathematics ⓘ
hasAuthor	Johann Hudde NERFINISHED ⓘ
hasConcept	algebraic condition for extrema ⓘ algebraic criterion for multiple roots ⓘ
hasMathematician	Johann Hudde NERFINISHED ⓘ
historicalPeriod	early modern mathematics ⓘ
influenced	Gottfried Wilhelm Leibniz NERFINISHED ⓘ Isaac Newton NERFINISHED ⓘ development of differential calculus ⓘ early infinitesimal methods ⓘ
influencedBy	François Viète NERFINISHED ⓘ René Descartes NERFINISHED ⓘ
languageOfOriginalPublication	Latin ⓘ
mainSubject	maxima of functions ⓘ minima of functions ⓘ multiple roots of equations ⓘ
namedAfter	Johann Hudde NERFINISHED ⓘ
notableFor	anticipating derivative-based tests for extrema ⓘ systematic algebraic treatment of multiple roots ⓘ
partOf	history of algebra ⓘ history of calculus ⓘ
relatedTo	differentiation ⓘ method of fluxions ⓘ tangent method ⓘ
usedFor	finding stationary points ⓘ optimization of algebraic expressions ⓘ testing for multiple roots ⓘ

How these facts were elicited

The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.

Instruction

You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10.

# Requirements
- If you don't know the subject at all, return an empty list.
- If the subject is not a named entity, return an empty list.
- Include at least one triple where predicate is "instanceOf".
- Do not get too wordy.
- Separate several objects into multiple triples with one object.

Input

Subject: Hudde’s rules
Description of subject: Hudde’s rules are a set of 17th-century algebraic techniques for finding maxima, minima, and multiple roots of equations, regarded as an early contribution to the development of calculus.

Referenced by (1)

Full triples — surface form annotated when it differs from this entity's canonical label.

Johannes Hudde → notableWork → Hudde’s rules ⓘ