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In [[mathematics]] and [[physics]], there is a large number of topics named in honor of [[Leonhard Euler]], many of which include their own unique function, equation, formula, identity, number (single or sequence), or other mathematical entity. Unfortunately, many of these entities have been given simple and ambiguous names such as '''Euler's function''', '''Euler's equation''', and '''Euler's formula'''.

== Vari ==

*[[Angoli di Eulero]]

==General "Euler-" mathematical topics==

*[[:en:Euler anglesbrick]] defining a rotation in space.-----------

*[[Cammino euleriano]]

*Euler approximation - (see [[Euler method]])

*[[EulerCaratteristica brickdi Eulero]]

*[[Cerchio di Eulero]], o ''cerchio di Feuerbach''

*[[Euler characteristic]] in [[algebraic topology]] and [[topological graph theory]], and the corresponding Euler's formula <math>\scriptstyle \chi(S^2)\,=\,F\,-\,E\,+\,V\,=\,2.</math>

*[[:en:Euler circlediagram]] -------

*[[:en:Euler class]] --------

*[[Eulerian circuit]] - (see [[Eulerian path]])

*[[EulerCriterio classdi Eulero]]

*[[Euler derivative]] ----------

*Euler's constant - (see [[Euler-Mascheroni constant]] or [[Euler's number]])

*[[:en:Euler's cycledisk]] - (see [[Eulerian path]])

*[[Grafo euleriano]]

*[[Euler's criterion]] - quadratic residues modulo primes

*Gli [[integrali di Eulero]] del primo e del secondo tipo, cioè la [[funzione beta]] e la [[funzione gamma]]

*[[Euler derivative]] (as opposed to [[Lagrangian derivative]])

*[[Retta di Eulero]]

*[[Euler diagram]] - likely better (but wrongly) known as ''[[Venn diagram]]'' (which has more restrictions)

*[[:en:Euler operator]] -----------

*[[Euler's disk]] - a circular disk that spins, without slipping, on a surface

*[[Parametri di Eulero-Rodrigues]]

*[[Eulerian graph]] - (see [[Eulerian path]])

*[[Polinomio di Eulero]]

*The [[Euler integral]]s of the first and second kind, namely the [[beta function]] and [[gamma function]].

*[[Pseudoprimo di Eulero]]

*[[Euler's line]] - relation between [[triangle center]]s

*[[Regola di Eulero]] per i [[numeri amicabili]]

*[[Euler-Mascheroni constant]] or ''Euler's constant'' γ ≈ 0.577216

*[[:en:Euler spline]] ---------------

*[[Euler's number]], e, the base of the [[natural logarithm]].

*[[Somma di Eulero]]

*[[Euler operator]] - set of functions to create [[polygon mesh]]es

*[[Sistema di Eulero]]

*Euler parameters - (see [[Euler-Rodrigues parameters]])

*[[Problema dei tre corpi di Eulero]]

*[[Eulerian path]], a path through a graph that takes each edge once.

*[[Euler polynomials]]

*[[Euler pseudoprime]]

*[[Euler-Rodrigues parameters]] - Concerns [[Lie group]]s and [[quaternions]]

*[[Euler's rule]] - finding [[amicable numbers]]

*[[Euler spline]] - composed of classical Euler polynomial arcs (cred. to [http://pages.cs.wisc.edu/~deboor/HAT/fpapers/isobib.pdf Schoenberg, 1973 - PDF])

*Euler squares, usually called [[Graeco-Latin square]]s.

*[[Euler summation]]

*[[Euler system]], a collection of cohomology classes.

*[[Euler's three-body problem]]

(See also: [[#Other things named after Euler]])

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Editor's Note: "Euler-xxxx" reinforces the idea that entries have both "Euler" and "xxxx" IN THEIR NAME, whereas "Euler xxxx" just shows that entries are *related* to both "Euler" and "xxxx" -->

== Congettura di Eulero ==

Riga 72 ⟶ 60:

== Numeri di Eulero ==

*La costante [[e (costante matematica)|''e'']] è a volte detta numero di Eulero

*[[Costante di Eulero-Mascheroni]]

*[[Euler's idoneal numbers]] ------------------

*[[Numeri di Eulero]]

Riga 78 ⟶ 67:

*[[Lucky numbers of Euler]] ------------------

== Teorema di Eulero ==

*[[Teorema di Eulero sulle funzioni omogenee]]

*[[Teorema di Eulero (tetrazione)]] ---?

*[[Euler's rotation theorem]] -----------

*[[Teorema di Eulero (geometria differenziale)]]

*[[Teorema di Eulero (geometria)]] ----------- sembra ce ne siano due: la voce inglese ne linka uno diverso rispetto al nostro ([[:en:Euler's theorem in geometry]])

*[[perfect number|Euclid-Euler theorem]] ----- mai sentito con questo nome

*[[Teorema di Eulero (aritmetica modulare)]], o ''teorema di Eulero-Fermat

== Altri oggetti ==

*[[2002 Euler]], (anun asteroid)asteroide

*[[Medaglia Eulero]], un premio per la ricerca in [[combinatoria]]

*[[Euler (linguaggio di programmazione)]]

*[[AMS Euler]], typefaceun font

*[[Progetto Eulero]]

==Euler&mdash;theorems==

*[[Euler's homogeneous function theorem]], a theorem about [[homogeneous polynomial]]s.

*[[Euler's infinite tetration theorem]]

*[[Euler's rotation theorem]]

*[[Euler's theorem (differential geometry)]] on the existence of the [[principal curvatures]] of a [[surface]] and orthogonality of the associated principal directions.

*[[Euler's theorem in geometry]], relating the [[circumcircle]] and [[incircle]] of a [[triangle]].

*[[perfect number|Euclid-Euler theorem]]

*[[Euler-Fermat theorem]], that <math>a^{\phi(m)}=1 \pmod m</math> whenever ''a'' is [[coprime]] to ''m'', and φ is the [[Euler's totient function|totient function]].

==Other things named after Euler==

*[[2002 Euler]] (an asteroid)

*[[Euler Medal]], a prize for research in [[combinatorics]]

*[[Euler programming language]]

*[[Euler (software)]]

*[[AMS Euler]] typeface

*[[Project Euler]]

==Topics by field of study==

Riga 154 ⟶ 143:

*[[Euler's totient function]] (or Euler phi (φ) function) in [[number theory]], counting the number of coprime integers less than an integer.

[[:cs:Seznam pojmů pojmenovaných po Leonhardu Eulerovi]]

<nowiki>

[[:de:Leonhard Euler#Nach_Euler_Benanntes]]

[[cs:Seznam pojmů pojmenovaných po Leonhardu Eulerovi]]

[[de:en:List of topics named after Leonhard Euler#Nach_Euler_Benanntes]]

[[:ru:Список объектов, названных в честь Леонарда Эйлера]] </nowiki>