TERMIUM Plus^®

Record 1,  Textual support,  English

Record number: 1, Textual support number: 1 DEF

The plane locus that is the foot of the perpendicular from the origin to a variable tangent to a rectangular hyperbola.  3, record 1, English, - lemniscate

Record number: 1, Textual support number: 1 OBS

Special use of Latin "lemniscus": pendent ribbon.  4, record 1, English, - lemniscate

Record 1,  Textual support,  French

Record number: 1, Textual support number: 1 DEF

Courbe, lieu géométrique des points tels que le produit de leurs distances à deux points fixes est constant.  1, record 1, French, - lemniscate

Record number: 1, Textual support number: 1 OBS

Du latin "lemniscatus", de "lemniscus" (ruban), d'origine grecque, à cause de la forme en 8 d'une des lemniscates.  1, record 1, French, - lemniscate

Record 1,  Textual support,  Spanish

Record 2,  Textual support,  English

Record number: 2, Textual support number: 1 DEF

Velocity of an enzyme reaction when the substrate concentration reaches a concentration equal to the Michaelis-Menten constant (Km).  2, record 2, English, - half%20the%20maximal%20velocity

Record number: 2, Textual support number: 1 CONT

The substrate concentration yielding half-maximal velocity provides a useful index for the analysis of some enzyme regulatory mechanisms... Some allosteric enzymes respond to the binding of a modulator with a change in the apparent Km for the substrate, without change in Vmax. A negative modulator will then produce an increase in the apparent Km and a positive modulator a decrease in the apparent Km. Here the term "apparent Km" refers to the substrate concentration giving half-maximal velocity; it cannot be used to calculate enzyme since the vo-vs.-(s) relationship is not a rectangular hyperbola, as required by the Michaelis-Menten assumptions and equations.  4, record 2, English, - half%20the%20maximal%20velocity

Record number: 2, Textual support number: 1 OBS

V/2 and 1/2Vmax are abbreviations of half the maximal velocity.  2, record 2, English, - half%20the%20maximal%20velocity

Record 2,  Textual support,  French

Record number: 2, Textual support number: 1 DEF

Vitesse d'une réaction enzymatique lorsque la concentration en substrat est égale à la constante de Michaelis (Km).  2, record 2, French, - moiti%C3%A9%20de%20la%20vitesse%20maximale

Record number: 2, Textual support number: 1 CONT

L'inhibition compétitive étant réversible, la vitesse maximale correspondant à une quantité élevée de substrat est la même qu'en l'absence d'inhibiteur. Par ailleurs, l'enzyme étant partiellement combinée à l'inhibiteur, la quantité de substrat nécessaire pour obtenir la moitié de la vitesse maximale augmente, donc la Km est plus élevée.  4, record 2, French, - moiti%C3%A9%20de%20la%20vitesse%20maximale

Record 2,  Textual support,  Spanish

Record 3,  Textual support,  English

Record number: 3, Textual support number: 1 DEF

Primary rainbow, due to refraction and reflection and, to a smaller extent, to diffraction of the light of the Sun or Moon by very small water droplets; it appears on a "screen" of fog or mist.  7, record 3, English, - white%20rainbow

Record number: 3, Textual support number: 1 CONT

White Rainbows. Rainbows can even come in the color of white. This type of rainbow is also called a cloud bow and a fog bow. The reason for these names is that [it] is produced by clouds of fog or raindrops. This type of rainbow appears as a white hyperbola shaped rainbow above horizontal clouds of moisture. It is best seen when flying in an aircraft above the clouds or on a high mountain  4, record 3, English, - white%20rainbow

Record number: 3, Textual support number: 1 OBS

The rainbow consists of a white band, usually fringed with a thin red band on the outside and a thin blue band on the inside.  7, record 3, English, - white%20rainbow

Record 3,  Textual support,  French

Record number: 3, Textual support number: 1 DEF

Arc-en-ciel principal, dû à la réfraction et à la réflexion et, dans une moindre mesure, à la diffraction de la lumière solaire ou lunaire par de très petites gouttelettes d'eau; il apparaît sur un «écran» de brouillard ou de brume.  3, record 3, French, - arc%2Den%2Dciel%20blanc

Record number: 3, Textual support number: 1 OBS

L'arc-en-ciel consiste en une bande blanche, généralement bordée d'une fine frange rouge à l'extérieur et d'une fine frange bleue à l'intérieur.  3, record 3, French, - arc%2Den%2Dciel%20blanc

Record 3,  Textual support,  Spanish

Record number: 3, Textual support number: 1 DEF

Arco iris primario debido a la refracción, la reflexión y, en menor grado, la difracción de la luz del Sol o de la Luna por gotas de agua muy pequeñas; este arco aparece sobre una "pantalla" de niebla o neblina.  1, record 3, Spanish, - arco%20de%20la%20niebla

Record number: 3, Textual support number: 1 OBS

El arco iris consiste en una franja blanca, generalmente con una franja roja estrecha en su borde exterior y con una franja azul estrecha en su borde interior.  1, record 3, Spanish, - arco%20de%20la%20niebla

Record 4,  Textual support,  English

Record number: 4, Textual support number: 1 CONT

A hyperbola is defined as the locus of all points whose difference in distance from two foci is constant.  1, record 4, English, - focus

Record 4,  Textual support,  French

Record 4,  Textual support,  Spanish

Record number: 4, Textual support number: 1 DEF

En las cónicas y otras curvas planas, punto situado en el plano y fuera de la curva, de tal modo que su distancia a todos los puntos de la misma pueda ser expresada por una ecuación.  1, record 4, Spanish, - foco

Record number: 4, Textual support number: 1 CONT

La parábola tiene un solo foco; la hipérbola y la elipse tienen dos, llamándose distancia focal la que media entre los mismos.  1, record 4, Spanish, - foco

Record 5,  Textual support,  English

Record number: 5, Textual support number: 1 DEF

The velocity of a body whose path is a hyperbola.  2, record 5, English, - hyperbolic%20velocity

Record number: 5, Textual support number: 1 OBS

The residual velocity in excess of the escape velocity.  3, record 5, English, - hyperbolic%20velocity

Record 5,  Textual support,  French

Record 5,  Textual support,  Spanish

Record 6,  Textual support,  English

Record number: 6, Textual support number: 1 DEF

The larger of the two eccentric circles of an ellipse or hyperbola. It is used in obtaining the parametric equations for the curve.  2, record 6, English, - auxiliary%20circle

Record 6,  Textual support,  French

Record 6,  Textual support,  Spanish

Record 7,  Textual support,  English

Record number: 7, Textual support number: 1 DEF

A line or lines which approach nearer to a curve than any other line although infinitely extended, but never meet the curve. They may be curves or straight lines.  2, record 7, English, - asymptote

Record number: 7, Textual support number: 2 DEF

A straight line in relation to a curve such that as point moves along infinite branch of curve, the distance from point to line approaches zero.  3, record 7, English, - asymptote

Record number: 7, Textual support number: 1 CONT

... the asymptotes of the hyperbola, from the Greek word meaning "not meeting. "  4, record 7, English, - asymptote

Record 7,  Textual support,  French

Record number: 7, Textual support number: 1 DEF

Ligne dont les différents points s'approchent de plus en plus d'une courbe sans jamais l'atteindre. L'asymptote est tangente à la courbe à l'infini.  2, record 7, French, - asymptote

Record number: 7, Textual support number: 1 OBS

L'adjectif «asymptote» cooccurre avec «cercle», «cône», «courbe», «droite», «forme», «plan», «point». Par contre, «asymptotique» se combine de préférence avec «approche», «comportement», «développement», «direction», «estimation», «ligne», «limite», «raccordement», «solution», «trajectoire» et «valeur». On dit «être asymptote à quelque chose», «être asymptotiquement stable ou instable», et «tendre ou converger asymptotiquement vers un attracteur».  2, record 7, French, - asymptote

Record number: 7, Textual support number: 1 PHR

L'asymptote se rapproche indéfiniment.  2, record 7, French, - asymptote

Record number: 7, Textual support number: 2 PHR

définir, déterminer géométriquement une asymptote, obtenir une asymptote.  2, record 7, French, - asymptote

Record 7,  Textual support,  Spanish

Record 8,  Textual support,  English

Record number: 8, Textual support number: 1 DEF

Curve formed by intersection of plane with right circular cone.  3, record 8, English, - conic%20section

Record number: 8, Textual support number: 1 CONT

When a right circular cone of revolution is cut by planes at different angles, four curves of intersection are obtained that are called conic sections... When the intersecting plane is perpendicular to the axis... a circle... If the plane makes a greater angle with the axis than do the elements... an ellipse... If the plane makes the same angle with the axis as the elements... a parabola... Finally, if the plane makes a smaller angle with the axis than do the elements or is parallel to the axis... a hyperbola.  4, record 8, English, - conic%20section

Record number: 8, Textual support number: 2 CONT

The parabola and the hyperbola, together with the ellipse and the circle, make up the family of conic sections, so called because each can be obtained by slicing a circular cone with a plane at various angles. Conic sections became objects of intense interest in the seventeenth century, first when the German astronomer Johannes Kepler determined that planets, comets and other bodies orbit the sun in elliptical paths, and later when Newton discovered that those bodies may also follow parabolic and hyperbolic orbits.  5, record 8, English, - conic%20section

Record 8,  Textual support,  French

Record number: 8, Textual support number: 1 DEF

Courbe ou section déterminée par la rencontre d'un cône et d'un plan [...] qui ne passe pas par son sommet. Selon leurs positions respectives, on obtient une section elliptique [...], hyperbolique [...] ou parabolique [...]  3, record 8, French, - section%20conique

Record number: 8, Textual support number: 1 CONT

Les différentes courbes obtenues par l'intersection d'un plan avec la surface latérale d'un cône circulaire droit [...] sont au nombre de quatre : la circonférence, l'ellipse, la parabole et l'hyperbole. On désigne ces courbes sous le titre général de coniques.  4, record 8, French, - section%20conique

Record 8,  Textual support,  Spanish

Record 9,  Textual support,  English

Record number: 9, Textual support number: 1 DEF

a group, party, or association of three.  2, record 9, English, - triumvirate

Record number: 9, Textual support number: 1 CONT

Around the beginning of the seventeenth century several mathematicians independently attempted to solve this problem [of squaring the hyperbola], notably Pierre de Fermat and René Descartes, who, together with Blaise Pascal, formed the great French triumvirate of mathematicians in the years just before the invention of calculus.  3, record 9, English, - triumvirate

Record number: 9, Textual support number: 2 CONT

a world-famed triumvirate of painters.  2, record 9, English, - triumvirate

Record 9,  Textual support,  French

Record number: 9, Textual support number: 1 DEF

Association de trois personnes qui exercent un pouvoir, une influence.  1, record 9, French, - triumvirat

Record 9,  Textual support,  Spanish

Record 10,  Textual support,  English

Record number: 10, Textual support number: 1 DEF

The curve formed by points whose difference in distance from two points (foci) remains constant.  2, record 10, English, - hyperbola

Record 10,  Textual support,  French

Record number: 10, Textual support number: 1 DEF

Ensemble des points d'un plan P, dont la valeur absolue de la différence des distances à deux points fixes de P est constante.  2, record 10, French, - hyperbole

Record number: 10, Textual support number: 1 OBS

L'orbite est une hyperbole quand la vitesse est supérieure à la vitesse parabolique V (ind.) P, une ellipse quand elle est inférieure à V (ind.) P.  3, record 10, French, - hyperbole

Record 10,  Textual support,  Spanish

Record 11,  Textual support,  English

Record number: 11, Textual support number: 1 DEF

Number used to define form of a conic section as an ellipse, circle, parabola, or hyperbola.  2, record 11, English, - eccentricity

Record number: 11, Textual support number: 2 DEF

The condition resulting from a situation where the central axis is not the common centre of the whole of the circumference of the roller, i.e. the surface of the roller and the circles of rotation of its elements are not concentric.  3, record 11, English, - eccentricity

Record 11,  Textual support,  French

Record number: 11, Textual support number: 1 DEF

État résultant d'une situation où l'axe central n'est pas le centre commun de la circonférence totale du cylindre (rouleau), c'est-à-dire que la surface du cylindre (rouleau) et les cercles de rotation de ses éléments ne sont pas concentriques.  1, record 11, French, - excentricit%C3%A9

Record 11,  Textual support,  Spanish

Record 12,  Textual support,  French

Record 12,  Textual support,  Spanish

Record 13,  Textual support,  French

Record 13,  Textual support,  Spanish

Record 14,  Textual support,  French

Record 14,  Textual support,  Spanish