In geometry, Euler's theorem states that the distance d between the circumcenter and incenter of a triangle is given by d 2 = R ( R − 2 r ) {\displaystyle...

In the mathematical field of differential geometry, Euler's theorem is a result on the curvature of curves on a surface. The theorem establishes the existence...

length Euler squares, usually called Graeco-Latin squares Euler's theorem in geometry, relating the circumcircle and incircle of a triangle Euler's quadrilateral...

In geometry, Euler's rotation theorem states that, in three-dimensional space, any displacement of a rigid body such that a point on the rigid body remains...

In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle...

theorem (geometry) Euler's theorem in geometry (triangle geometry) Exterior angle theorem (triangle geometry) Feuerbach's theorem (geometry) Finsler–Hadwiger...

In geometry, Pick's theorem provides a formula for the area of a simple polygon with integer vertex coordinates, in terms of the number of integer points...

which has Euler characteristic 2. This viewpoint is implicit in Cauchy's proof of Euler's formula given below. There are many proofs of Euler's formula...

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

The Riemann–Roch theorem is an important theorem in mathematics, specifically in complex analysis and algebraic geometry, for the computation of the dimension...

Pascal's theorem Affine geometry Affine space Affine transformation Finite geometry Differential geometry Contact geometry Riemannian geometry Symplectic...

The Nash embedding theorems (or imbedding theorems), named after John Forbes Nash Jr., state that every Riemannian manifold can be isometrically embedded...

algebraic geometry are ideal tools to study these equations. Diophantine geometry is part of the broader field of arithmetic geometry. Four theorems in Diophantine...

proved the theorem in full generality connecting global topology with local geometry. The Riemann–Roch theorem and the Atiyah–Singer index theorem are other...

the Euler characteristic of the 2-sphere is two. Therefore, there must be at least one zero. This is a consequence of the Poincaré–Hopf theorem. In the...

eigenvalue comparison theorem Clifford's theorem on special divisors Cohn-Vossen's inequality Erdős–Mordell inequality Euler's theorem in geometry Gromov's inequality...

In the mathematical field of differential geometry, the Gauss–Bonnet theorem (or Gauss–Bonnet formula) is a fundamental formula which links the curvature...

published in Acta Eruditorum, 1744 The title page of Euler's Methodus inveniendi lineas curvas Euler's 1760 world map Euler's 1753 map of Africa Euler is listed...

known as Euler's theorem. Later in the 1700s, the new French school led by Gaspard Monge began to make contributions to differential geometry. Monge made...

used to compute Hilbert polynomials Friedrich Hirzebruch,Topological Methods in Algebraic Geometry ISBN 3-540-58663-6 The Hirzebruch-Riemann-Roch Theorem...

sometimes called Euler's number, after the Swiss mathematician Leonhard Euler, though this can invite confusion with Euler numbers, or with Euler's constant,...

sphere are concentric with each other and with the sphere. By Euler's theorem in geometry on the distance between the circumcenter and incenter of a triangle...

Last Theorem. The equation is wrong, but it appears to be correct if entered in a calculator with 10 significant figures. Mathematics portal Euler's sum...

known as Feuerbach's circle (after Karl Wilhelm Feuerbach), Euler's circle (after Leonhard Euler), Terquem's circle (after Olry Terquem), the six-points circle...

relationship with the Delaunay triangulation of a set of points. By Euler's theorem in geometry, the distance between the circumcenter O and the incenter I is...

The Euclid–Euler theorem is a theorem in number theory that relates perfect numbers to Mersenne primes. It states that an even number is perfect if and...

geometry topics Glossary of Riemannian and metric geometry What follows is an incomplete list of the most classical theorems in Riemannian geometry....

James R. Newman. In the history of mathematics, Euler's solution of the Königsberg bridge problem is considered to be the first theorem of graph theory...

In differential geometry, the Atiyah–Singer index theorem, proved by Michael Atiyah and Isadore Singer (1963), states that for an elliptic differential...

algorithms in computer vision. Earth radius#Principal sections Euler's theorem (differential geometry) Surface Curvature Berry, M. V.; Hannay, J. H. (1977). "Umbilic...