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INSCRIBED CIRCLE [6 records]

Filter results by subject field Alphabetical list of terms

Filter results by subject field

Alphabetical list of terms

Record 1 2011-07-26

English

Subject field(s)
  • Geology
  • Petrography
DEF

The ratio of the average radius of curvature of the corners of a particle to the radius of the maximum inscribed circle.

OBS

The roundness value of a perfectly rounded particle is 1.0, whereas the roundness value of less-rounded particles is smaller than 1.0.

French

Domaine(s)
  • Géologie
  • Pétrographie
DEF

Évaluation quantitative du degré d'usure des galets.

CONT

L'indice d'émoussé reflète les usures subies par le galet; «c'est un enregistreur global de la somme des actions érosives auxquelles a été soumis le matériel détritique» (A. Cailleux). On le mesure à l'aide d'une cible ou de calibres spéciaux [...]

CONT

Les cailloux, roulés sur le fond du lit, émoussent leurs angles assez rapidement, après quelques kilomètres; mais les galets se fragmentent, obligeant la rivière à recommencer toujours le même travail. Les valeurs de l'indice d'émoussé restent donc moyennes, entre 100 et 300, rarement 500, et ne fournissent que le rapport d'équilibre entre l'usure et la fragmentation [...]

CONT

L'indice d'émoussé : 2 r'/L où r' est le plus petit rayon de courbure du contour apparent du galet mesuré dans le plan contenant L. Il donne une idée de l'état d'usure du galet. Il varie de 0 (objet anguleux) à 1 (sphère ou cylindre aplati).

Spanish

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Record 2 2002-02-18

English

Subject field(s)
  • Mathematical Geography
DEF

A graduated circle, usually marked in degrees, indicating directions and printed or inscribed on an appropriate medium.

OBS

compass rose : term and definition standardized by NATO.

French

Domaine(s)
  • Géographie mathématique
DEF

Cercle gradué, généralement en degrés, matérialisant des directions et imprimé ou gravé sur un support approprié.

OBS

rose du compas : terme et définition normalisés par l'OTAN.

Spanish

Campo(s) temático(s)
  • Geografía matemática
DEF

Círculo graduado, normalmente dividido en grados, que indica las direcciones y está impreso o grabado en un material adecuado.

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Record 3 1999-05-19

English

Subject field(s)
  • Mathematics

French

Domaine(s)
  • Mathématiques

Spanish

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Record 4 1997-08-20

English

Subject field(s)
  • Scientific Measurements and Analyses
  • Geology
DEF

The degree of abrasion of a clastic particle as shown by the sharpness of its edges and corners, expressed by Wadell (1932) as the ratio of the average radius of curvature of the several edges or corners of the particle to the radius of curvature of the maximum inscribed sphere (or to one-half the nominal diameter of the particle).

CONT

... roundness may be defined as the ratio of the average radius of curvature of the corners of the particle "image" to the radius of the maximum inscribed circle.

French

Domaine(s)
  • Mesures et analyse (Sciences)
  • Géologie
CONT

[...] un cube aurait un émoussé nul et une sphéricité forte, tandis qu'un cylindre terminé par deux hémisphères aurait une sphéricité nulle et un émoussé élevé.

CONT

[...] l'émoussé des grains de sable peut être évalué à la loupe binoculaire à l'aide d'un micromètre-cible.

OBS

Il faut distinguer entre forme (sphéricité) et arrondi («roundness»). L'arrondi résulte de l'usure des bords et des coins, tandis que la forme n'a rien à faire avec l'allure des bords et des coins [...]

Spanish

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Record 5 1995-10-16

English

Subject field(s)
  • Mathematics
  • Computer Graphics
DEF

The residual set of an Apollonian packing.

CONT

The Apollonian construction concludes with five circles, three given and two Apollonian, which together define six circular triangles. Repeating the same procedure, we draw the largest inscribed circle in each triangle. Infinite further repetition is called Apollonian packing. To the resulting infinite collection of circles one adds its limit points, and one obtains a set I call Apollonian net. A portion of net within a circular triangle... is to be called Apollonian gasket.

CONT

Formation of an Apollonian gasket : the points that are never inside any of the circles form a set of zero area which is, as it were, more than a line, but less than a surface. Its fractal dimension therefore lies between 1 and 2, though its exact value is not known. It is approximately 1.3.

OBS

See Sierpinski gasket.

French

Domaine(s)
  • Mathématiques
  • Infographie
DEF

L'ensemble non dénombrable des points à surface nulle qui restent non couverts par un bourrage apollonien.

OBS

Voir bourrage, entassement.

Spanish

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Record 6 1994-11-14

English

Subject field(s)
  • Mathematics
  • Computer Graphics
DEF

Packing obtained when a sequence of closed balls V is the interior of a curvilinear triangle in a bidimensional space. Different from "osculatory packing".

CONT

The Apollonian construction concludes with five circles, three given and two Apollonian, which together define six circular triangles. Repeating the same procedure, we draw the largest inscribed circle in each triangle. Infinite further repetition is called Apollonian packing.

OBS

See Apollonian gasket, packing, worm problem.

French

Domaine(s)
  • Mathématiques
  • Infographie
DEF

Bourrage obtenu d'un triangle formé de trois boules tangentes deux à deux, par itération infinie de la construction d'Apollonius de Perge (cercles tangents à trois cercles donnés). L'union des intérieurs des cercles couvre presque entièrement le triangle.

OBS

L'ensemble des points non couverts a une surface nulle et constitue un "tamis apollonien".

OBS

Voir bourrage, tamis, tapis de Sierpinski.

Spanish

Save record 6

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