In geometry, Poncelet's closure theorem, also known as Poncelet's porism, states that whenever a polygon is inscribed in one conic section and circumscribes...

as Steiner constructions. In geometry, Poncelet's porism (sometimes referred to as Poncelet's closure theorem) states that whenever a polygon is inscribed...

Brianchon's theorem Ceva's theorem Desargues's theorem Menelaus's theorem Pascal's theorem Poncelet's closure theorem Ptolemy's theorem Apollonian circles...

Sonnier Poncelet Prize, a mathematics prize by the French Academy of Sciences Poncelet's closure theorem, mathematics Poncelet–Steiner theorem, mathematics...

(Euclidean geometry) Poncelet's closure theorem (conics) Poncelet–Steiner theorem (geometry) Ptolemy's theorem (geometry) Pythagorean theorem (geometry) Reuschle's...

absolute geometry. Fuss' theorem for the relation among the same three variables in bicentric quadrilaterals Poncelet's closure theorem, showing that there...

independently by Leonhard Euler), which is a special case of Poncelet's closure theorem, as well as the Grace–Danielsson inequality in one dimension higher...

Finding Ellipses: What Blaschke Products, Poncelet’s Theorem, and the Numerical Range Know about Each Other is a mathematics book on "some surprising connections...

to an n-gon. The fact that it will always do so is implied by Poncelet's closure theorem, which more generally applies for inscribed and circumscribed...

In geometry, the incenter–excenter lemma is the theorem that the line segment between the incenter and any excenter of a triangle, or between two excenters...

circumcircle. This is a special case of Poncelet's porism, which was proved by the French mathematician Jean-Victor Poncelet (1788–1867). Examples of bicentric...

1007/BF02924855 1987: (with Kers, C.; Oort, F.; Raven, D. W.) "Poncelet's closure theorem", Exposition. Math. 5 no. 4, 289–364. Joseph Harris wrote for...

some of the major theorems of projective geometry including Desargues's theorem, Pascal's theorem, and Poncelet's closure theorem. Later chapters of...

2018). The book studies a connection between Blaschke products, Poncelet's closure theorem, and the numerical range of matrices. A Blaschke product is a...

the incircle and circumcircle. This is the triangular case of Poncelet's closure theorem, which applies more generally to polygons of any number of sides...

principle, the conservation of energy can be rigorously proven by Noether's theorem as a consequence of continuous time translation symmetry; that is, from...

is similar in spirit to the constructions underlying Desargues' theorem and Poncelet's porism. It echoes the rationale and construction underlying a conjecture...

number theory, which eventually led to Wiles's proof of Fermat's Last Theorem. Schemes elaborate the fundamental idea that an algebraic variety is best...