Properties (69)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Theorem
|
| gptkbp:appliesTo |
projective geometry
|
| gptkbp:description |
a property of a hexagon inscribed in a conic section
|
| gptkbp:hasHistoricalSignificance |
the development of projective geometry
|
| gptkbp:hasRelatedPatent |
computer graphics
|
| https://www.w3.org/2000/01/rdf-schema#label |
Pascal's Theorem
|
| gptkbp:involves |
conic_sections
|
| gptkbp:isA |
geometric theorem
theorem in mathematics result in projective geometry theorem in projective geometry |
| gptkbp:isActiveIn |
mathematical journals
geometry textbooks geometry research papers |
| gptkbp:isAttendedBy |
geometric diagrams
|
| gptkbp:isAvenueFor |
engineering problems
a projective theorem |
| gptkbp:isCitedIn |
mathematical literature
academic research papers textbooks on projective geometry |
| gptkbp:isConnectedTo |
the concept of duality in geometry
the study of incidence geometry |
| gptkbp:isConsidered |
a classic result in mathematics
a significant theorem in mathematics a foundational theorem in geometry a fundamental theorem in projective geometry a key result in geometry |
| gptkbp:isCounteredBy |
a hexagon inscribed in a circle
|
| gptkbp:isDiscussedIn |
academic papers
mathematical conferences mathematical seminars mathematical forums |
| gptkbp:isExaminedBy |
geometry textbooks
|
| gptkbp:isExploredIn |
educational resources
research studies mathematical discussions geometry research geometry workshops |
| gptkbp:isIncorporatedIn |
geometric constructions
geometry classes geometric proofs |
| gptkbp:isInfluencedBy |
modern mathematics
|
| gptkbp:isPartOf |
the history of mathematics
the study of conic sections the curriculum in advanced mathematics the study of conic properties the study of geometric properties |
| gptkbp:isRelatedTo |
the study of algebraic curves
the concept of harmonic division the study of geometric transformations the concept of projective transformations projective duality the concept of collinearity the concept of cyclic quadrilaterals the concept of projective points the properties of cyclic polygons theorems about tangents and secants |
| gptkbp:isTaughtIn |
geometry courses
|
| gptkbp:isUsedBy |
solve geometric problems
prove other geometric properties |
| gptkbp:isUsedIn |
geometry
mathematical modeling computer-aided design mathematical proofs theoretical mathematics the analysis of geometric figures |
| gptkbp:isVisitedBy |
synthetic geometry methods
|
| gptkbp:namedAfter |
gptkb:Blaise_Pascal
|
| gptkbp:state |
that if a hexagon is inscribed in a conic, the three pairs of opposite sides meet at points that are collinear
|