The midpoints of the sides of any quadrilateral, connected in order, form a parallelogram. Named for Pierre Varignon, it is a simple and elegant fact about the geometry of general quadrilaterals.
Facts
StatementThe midpoints of the four sides of any quadrilateral, connected in order, form a parallelogram, called the Varignon parallelogram. 1 Classification
Statement FormCharacterization Theorem 1 Connections
Has Statement Form
In Branch
Principal Result Of
Source Pierre Varignon, Biography (MacTutor History of Mathematics)
Proved By
Source Varignon's Theorem (Wikipedia)
Sources
1. Varignon's Theorem (Wikipedia)
Wikimedia Foundationlead paragraph, theorem statement sentence
In Euclidean geometry, Varignon's theorem holds that the midpoints of the sides of an arbitrary quadrilateral form a parallelogram, called the Varignon parallelogram.
lead paragraph, attribution sentence
It is named after Pierre Varignon, whose proof was published posthumously in 1731.
Proved By: Pierre Varignon, Lead
It is named after Pierre Varignon, whose proof was published posthumously in 1731.
View the Source Pierre Varignon, Biography (MacTutor History of Mathematics)
Principal Result Of: Pierre Varignon, Biography textQuote, Principal Result Of: Pierre Varignon, Biography text
The book contains what is today known as Varignon's parallelogram theorem: The figure formed when the mid-points of the sides of a quadrilateral are joined in order is a parallelogram.
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