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{{Short description|Triangle comparison theorem in Riemannian geometry}} In the [[mathematics|mathematical]] field of [[Riemannian geometry]], '''Toponogov's theorem''' (named after [[Victor Andreevich Toponogov]]) ...

...stanford.edu/~vakil/0708-216/216class38.pdf|title=Foundations of algebraic geometry class 38|first=Ravi|last=Vakil|publisher=Stanford University|year=2007–2008 There is yet another projection formula in the setting of [[étale cohomology]]. ...

...book|url=https://books.google.com/books?id=ePf_AwAAQBAJ|title=Differential Geometry of Complex Vector Bundles|last=Kobayashi|first=Shoshichi|date=2014-07-14|pu ...first2=Shigeo|date=1954|title=Note on Kodaira-Spencer's proof of Lefschetz theorems|url=https://projecteuclid.org/euclid.pja/1195526105|journal=Proceedings of ...

{{short description|Theorem about orthocenter and polars in circle geometry}} '''Brokard's theorem''' is a theorem in [[projective geometry]].<ref>{{cite book ...

...are parallel to the according sides of triangle <math>ABC</math> intersect in a common point <math>V'</math> as well]] '''Maxwell's theorem''' is the following statement about triangles in the plane. ...

{{Short description|Statement in elementary geometry}} The '''eyeball theorem''' is a statement in elementary geometry about a property of a pair of disjoined circles. ...

{{Short description|Theorem in complex analysis about the sheaf of holomorphic functions}} ...h>) is [[coherent sheaf|coherent]].<ref>{{harvtxt|Noguchi|2019}}</ref><ref>In {{harvtxt|Oka|1950}} paper it was called the [[idéal de domaines indétermin ...

{{short description|Geometry theorem relating line segments created by intersecting secants of a circle} In [[Euclidean geometry]], the '''intersecting secants theorem''' or just '''secant theorem''' desc ...

...r=2373099| url=http://nrs.harvard.edu/urn-3:HUL.InstRepos:3597248 }}</ref> in 1967 states that if ''L'' is a semi-ample [[invertible sheaf]] with [[Iitak [[Category:Theorems in algebraic geometry]] ...

...In other words, one seeks the probability that there is some [[Half-space (geometry)|half-space]] with the origin on its boundary that contains all ''N'' point |last = Wendel|first = James G.|title = A Problem in Geometric Probability|journal = Math. Scand.|volume = 11|year = 1962|pages ...

{{short description|Collinearity of the midpoints of parallel chords in a conic}} ...a [[Conic section|conic]]. It states that the midpoints of parallel chords in a conic are located on a common line. ...

...subsequently given by [[Richard Palais]] in 1957. The main difficulty lies in showing that a distance-preserving map, which is a priori only [[continuity ...row M</math> is <math display="inline">\mathcal{C}^1</math>differentiable (in both variables). This is a generalization of the easier, similar statement ...

{{Short description|Criterion for vector stability in algebraic geometry}} ...ion for the [[Geometric invariant theory#Stability|stability]] of a vector in a [[group representation|representation]] of a complex [[reductive group]]. ...

...iguet–Puiseux theorem''' expresses the [[Gaussian curvature]] of a surface in terms of the [[circumference]] of a [[geodesic]] circle, or the area of a g ...st=Marcel | authorlink=Marcel Berger|title= A Panoramic View of Riemannian Geometry | publisher=Springer-Verlag | year=2004 | isbn=3-540-65317-1}} ...

...algebraic subsets of ''X'' there is a fundamental system of neighborhoods (in the classical topology) of ''x'' whose intersection with ''Y'' is connected ...and geometrically unibranch points are used in some theorems in algebraic geometry. For example, there is the following result: ...

In mathematics, a '''Delzant polytope''' is a [[convex polytope]] in <math>\mathbb{R}^n</math> such that for each vertex <math>v</math>, exactly [[Category:Symplectic geometry]] ...

...by [[Joseph O'Rourke (professor)|Joseph O'Rourke]], and published in 1987 in the International Series of Monographs on Computer Science of the [[Oxford ...the book has as a theme "the interplay between discrete and computational geometry".{{r|avis}} ...

In [[Euclidean geometry]], '''Kosnita's theorem''' is a property of certain [[circle]]s associated ...tension from a circle to a conic having center: The creative method of new theorems], International Journal of Computer Discovered Mathematics, pp.21-32.</ref> ...

In [[mathematics]], the '''Holomorphic Lefschetz formula''' is an analogue for ...| author2-link=Joe Harris (mathematician) | title=Principles of algebraic geometry | publisher=[[John Wiley & Sons]] | location=New York | series=Wiley Classi ...

...n invariant neighborhood of <math>G/G_x</math> (viewed as a zero section) in <math>G \times_{G_x} T_x M / T_x(G \cdot x)</math> so that it defines an [[ In [[algebraic geometry]], there is an analog of the slice theorem; it is called [[Luna's slice the ...