geometry, Varignon's theorem holds that the midpoints of the sides of an arbitrary quadrilateral form a parallelogram, called the Varignon parallelogram...

Varignon's theorem is a theorem of French mathematician Pierre Varignon (1654–1722), published in 1687 in his book Projet d'une nouvelle mécanique. The...

&f_{0j}\\f_{01}&...&f_{1j}\\...&...&...\\f_{i0}&...&f_{ij}\\\end{array}}\right)} Varignon's theorem states that the moment of a force about any point is equal to the...

in Elements de mathematique in 1731. Varignon was a friend of Newton, Leibniz, and the Bernoulli family. Varignon's principal contributions were to graphic...

parallelogram. Varignon's theorem holds that the midpoints of the sides of an arbitrary quadrilateral are the vertices of a parallelogram, called its Varignon parallelogram...

(geometry) Thomsen's theorem (geometry) Van Aubel's theorem (quadrilaterals) Van Schooten's theorem (Euclidean geometry) Varignon's theorem (Euclidean geometry)...

Reusch's theorem where all four vertices of a tetrahedron are coplanar and lie on a single plane, thereby degenerating into a quadrilateral, Varignon's theorem...

equations—each representing a plane having this line as a common intersection. Varignon's theorem states that the midpoints of any quadrilateral in R 3 {\displaystyle...

The principle of moments, also known as Varignon's theorem (not to be confused with the geometrical theorem of the same name) states that the resultant...

diagonals always goes through the midpoint of the opposite side. Varignon's theorem states that the midpoints of the sides of an arbitrary quadrilateral...

original quadrilateral. Circulant matrix Midpoint-stretching polygon Varignon's theorem Gardner 2006, p. 36. Gardner & Gritzmann 1999, p. 92. Kasner 1903...

m_{1}=m_{2}=m_{3}=1} ) Varignon's theorem geometric median MathePrisma Uni Wuppertal: Lösung eines Standort-Problems mit GeoGebra The Frame of Varignon: Mathematical...

upon Varignon's theorem and quantifies feelings of rightness toward knowledge certainty. RIF uses the Principle of Moments or Varignon's Theorem to calculate...

In polyhedral combinatorics, a branch of mathematics, Steinitz's theorem is a characterization of the undirected graphs formed by the edges and vertices...

The risk inclination formula uses the principle of moments, or Varignon's theorem, to calculate the first factorial moment of probability in order to define...

the diagonals.: p.126  This is sometimes known as Euler's quadrilateral theorem and is a generalization of the parallelogram law. The German mathematician...

general moments, is a "free vector". (This fact is called Varignon's Second Moment Theorem.) The proof of this claim is as follows: Suppose there are...

and expand on Jacob Bernoulli's 1696 treatment. (Varignon's math…) The final version of Varignon's paper is dated February 16, 1715, and it appeared...

outside the context of polyhedra, appeared as early as 1725, in Pierre Varignon's posthumously published work, Nouvelle Méchanique ou Statique. This was...

November 1719) was a French mathematician. He is best known for Rolle's theorem (1691). He is also the co-inventor in Europe of Gaussian elimination (1690)...

part: Of the propositions [The Properties of Oblique Weights], Page 41, Theorem XI, Proposition XIX, he derived the condition for the balance of forces...

\displaystyle a^{2}+c^{2}=b^{2}+d^{2}.} This follows from the Pythagorean theorem, by which either of these two sums of two squares can be expanded to equal...

of the Varignon parallelogram are equal-length and perpendicular; that is, it is a square. For the same reason, a quadrilateral whose Varignon parallelogram...

virtual work law appeared in his letter to Pierre Varignon in 1715, which was later published in Varignon's second volume of Nouvelle mécanique ou Statique...

retrieved 2012-04-23. See in particular Theorem 7 on p. 19. Silvester, John R. (2006), "Extensions of a theorem of Van Aubel", The Mathematical Gazette...

included (Cum Prodiisset). In a 1702 letter to French mathematician Pierre Varignon subtitled “Justification of the Infinitesimal Calculus by that of Ordinary...

holds true also for smaller arcs; the reasoning is the same. Just after Theorem 6 of Two New Sciences, Galileo warns of possible fallacies and the need...

complementary angle to the pitch angle) see Section 9.9, Theorem 1, p. 300 Rutter, J.W. (2018), "Theorem 7.11", Geometry of Curves, CRC Press, p. 143, ISBN 9781482285673...

used in a linkage defined by Alfred Kempe as part of Kempe's universality theorem, stating that any algebraic curve may be traced out by the joints of a...

Bolzano–Weierstrass theorem. He also gave the first purely analytic proofs of the fundamental theorem of algebra and the intermediate value theorem. Adam Sedgwick...