Brianchon's Theorem states that for any hexagon circumscribed about a conic section, meaning each of its six sides is tangent to the conic, the three main diagonals connecting opposite vertices all meet at a single point. Named for Charles Julien Brianchon, it is the projective dual of Pascal's Theorem, exchanging the roles of points and lines.
Facts
StatementWhen a hexagon is circumscribed around a conic section, its principal diagonals meet in a single point. 1 Classification
Statement FormCharacterization Theorem 1 Connections
Has Statement Form
Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
In Branch
Source Brianchon's theorem, Wikipedia
Sources
1. Brianchon's theorem, Wikipedia
Lead paragraph
when a hexagon is circumscribed around a conic section, its principal diagonals (those connecting opposite vertices) meet in a single point.
In Branch: Geometry, Lead sentence
In geometry, Brianchon's theorem is a theorem stating that when a hexagon is circumscribed around a conic section, its principal d
View the SourceReader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.