ETYMOLOGIE DES WORTES EVOLUTE
From Latin ēvolūtus unrolled, from ēvolvere to roll out, evolve.
WAS BEDEUTET EVOLUTE AUF ENGLISCH
Evolute
In der Differentialgeometrie der Kurven ist die Evolute einer Kurve der Ort aller Krümmungsmittelpunkte. Das heißt, wenn der Krümmungsmittelpunkt jedes Punktes auf einer Kurve gezeichnet wird, wird die resultierende Form die Evolute dieser Kurve sein. Das Evolute eines Kreises ist also ein einziger Punkt in seiner Mitte. Äquivalent ist ein evolutes die Hüllkurve der Normalen zu einer Kurve. Das Evolute einer Kurve, einer Oberfläche oder allgemeiner eines Untermannes ist die Ätzung der normalen Karte. Sei M ein glatter, regelmäßiger Untermann in Rn. Für jeden Punkt p in M und jeden Vektor v, der bei p und normal zu M basiert, assoziieren wir den Punkt p + v. Dies definiert eine Lagrange-Karte, die so genannte normale Karte. Die Ätzung der normalen Karte ist die evolute von M.
Definition von evolute im Wörterbuch Englisch
Die Definition von evolute im Wörterbuch ist eine geometrische Kurve, die den Ort der Krümmungsmittelpunkte einer anderen Kurve beschreibt. Die Tangenten an die Evolute sind rechtwinklig zur Evolvente. Andere Definition von Evolute ist, dass die Margen nach außen gerollt werden.
MIT «EVOLUTE» VERWANDTE WÖRTER IM WÖRTERBUCH ENGLISCH
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10 BÜCHER, DIE MIT «EVOLUTE» IM ZUSAMMENHANG STEHEN
Entdecke den Gebrauch von
evolute in der folgenden bibliographischen Auswahl. Bücher, die mit
evolute im Zusammenhang stehen und kurze Auszüge derselben, um seinen Gebrauch in der Literatur kontextbezogen darzustellen.
1
Engineering Mathematics
As both Q2 and Q1 lie on the evolute and also on the normals, it is clear that the
normals to the original curve are tangents to the evolute. Hence, the evolute can
also be thought of as the envelope of the normals to the original curve. Q 2 Q 1 P
...
The evolute may alternatively be defined as the envelope of the normal to the
curve; for C lies on two tangents to this envelope and, as they approach
coincidence, the limiting position of C is a point on the envelope. Examples of
Evolutes ...
3
Gear Geometry and Applied Theory
Figure 10.2.1: Involute and evolute. 10.2 GEOMETRY OF INVOLUTE CURVES
Henceforth, we consider conventional, extended, and shortened involute curves (
see Section 1.6). We start with general definitions of the evolute and the involute
...
Faydor L. Litvin, Alfonso Fuentes,
2004
4
Ship Hydrostatics and Stability
evolute. The buoyancy force is always normal to the waterline. As the tangent to
the B-curve is parallel to the corresponding waterline, it follows that the buoyancy
force is normal to the B-curve. In Figure 2.14 the normals to the B-curve in the ...
5
Geometry of Curves and Surfaces with MAPLE
Definition 9.4.1 The envelope IQ of a family of normals to the given curve y\ is
called the evolute. The curve y\ is called the evolvent (involute) of the curve Yi if
Yi is the evolute of y\ • In fact, the evolute is related to the evolvent in the same
way ...
Vladimir Y. Rovenskii,
2000
6
Higher Engineering Mathematics
FFERENT1AL CALCULUS Thus the evolute given by X(t) and F(/) is the required
deltoid. Example 4: Calculate the total length of the evolute 2 2 2 of the astroid .v
5 + y 3 = a 3 . Solution: x = a cos1 /, y = a sin3 / are the parametric equations of ...
7
Elementary Geometry of Differentiable Curves: An ...
The evolute of the eight-curve The evolute is obtained from the astroid (Example
4.3) by scalings of the variables. Note that the four cusps on the evolute arise
from the four vertices on the ellipse. It is not chance that vertices on the parabola
...
Hence prove that the evolute of the ellipse is the curve r m_ (a2-b\3 i*2 ~ & ^ r*\t/
— I L) i * \ a b Show that the evolute is regular except at four points. Write down
the Cartesian equation of the evolute. Prove that the length of the whole evolute
is ...
9
Modern Differential Geometry of Curves and Surfaces with ...
Hence the tangent line to evolute[/3] at evolute[/3](s) coincides with the normal
line to /3 at /3(s). Conversely, suppose 7 = /3 + / J/9'. Again, using Lemma 1.11,
we compute If the tangent line to 7 at each point 7(5) coincides with the normal
line ...
10
Curves and Singularities: A Geometrical Introduction to ...
Different lengths of string give involute curves Y all of which have evolute £.
Figure 2.21 shows some parallels and the evolute of a parabola: notice that the
cusps on the parallels all lie on the evolute - compare (2) above - and that the
point of ...
James William Bruce, P. J. Giblin,
1992
10 NACHRICHTEN, IN DENEN DER BEGRIFF «EVOLUTE» VORKOMMT
Erfahre, worüber man in den einheimischen und internationalen Medien spricht und wie der Begriff
evolute im Kontext der folgenden Nachrichten gebraucht wird.
Master Reports Sales In Bangladesh
It is the most evolute and technologically advanced machine of this category being at the same time easy to operate, rational and reliable. «Textile World Magazine, Jul 15»
BRIEF-Compagnia della Ruota unit signs 3 million euro …
Says its unit Dimore Evolute Srl signs management contract for the value of 3 million euros ($3.4 million) to provide Abitare Smart Soc. «Reuters, Jun 15»
#SOCIALHR: I TRENDS PIU' INNOVATIVI DEL 2015. 2. USARE I …
... complessità attraverso l'utilizzo di metodologie evolute di prescriptive e predictive analysis, come modelli e metodi matematici di forecasting, ... «Il Sole 24 Ore, Jun 15»
New Columns that Provide Simplified SPE Using the Load-Wash …
EVOLUTE® EXPRESS is a novel family of plates, and now columns, that simplify polymer-based SPE by employing a streamlined three step ... «Labmate Online, Jun 15»
Stiamo preparando la nostra estinzione
Effettivamente, il biologo di Harvard Edward O.Wilson ha calcolato che, all'attuale tasso di perdita, la metà delle forme di vita più evolute sulla ... «Internazionale, Jun 15»
Vita su altri mondi
Nessun progetto però ha portato finora a risultati positivi: in molti sostengono che civiltà più evolute della nostra potrebbero adottare tecnologie ... «l'Adige - Quotidiano indipendente del Trentino Alto Adige, Jun 15»
BRIEF-Compagnia Della Ruota unit buys 100 percent of Dimore …
Company's unit, CdR Recovery RE srl, buys 100 percent of Dimore Evolute, an Italian social housing company. Source text for Eikon:. «Reuters, Jun 15»
Perché c'è chi si ammala di Huntington? Ce lo svela l'evoluzione
Abbiamo cominciato a studiare i vertebrati e le specie più evolute. Ecco che il pesciolino zebrafish di CAG ripetuti ne ha quattro, il topo sette, ... «La Stampa, Jun 15»
Biotage® Announces EVOLUTE® EXPRESS Columns - Simplified …
EVOLUTE® EXPRESS is a novel family of plates, and now columns, that simplify polymer-based SPE by employing a streamlined three step ... «b3c newswire, Jun 15»
Proving Factory helps launch innovative automotive transmission …
Announcing a call for fresh investors, Evolute Drives said commercialisation of its high efficiency MSYS multispeed transmission system would ... «The Engineer, Jun 15»