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A charged tachyon traveling in a vacuum therefore undergoes a constant proper time acceleration and, by necessity, its worldline forms a hyperbola in space-time.
en.wikipedia.org Not only ellipses but also parabolas and hyperbolas turn into circles under appropriate projective transformations; they all are projectively equivalent figures.
en.wikipedia.org For the hyperbola the east-west opening case is given.
en.wikipedia.org Conversely, if the energy is positive (unbound orbits, also called scattered orbits), the eccentricity is greater than one and the orbit is a hyperbola.
en.wikipedia.org A central conic is called an ellipse or a hyperbola according as it has no asymptote or two asymptotes.
en.wikipedia.org 互联网提供的例句（未经PONS编辑处理）
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www.mpg.de It was thereby revealed that ISON orbits on a hyperbola; thus it must have been catapulted out of the depths of space into the interior of the planetary system, and is possibly even orbiting the Sun for the first time.
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Dabei zeigte sich, dass ISON auf einer Hyperbel läuft, folglich aus den Tiefen des Weltraums ins Innere des Planetensystems katapultiert wurde und vielleicht sogar erstmals die Sonne umrundet.
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www.photon.at controversely to great distances, where the path of light rays may rawly be described by hyperbolas, this approximation is no longer valid at smaller distances.
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Während in genügend großem Abstand die Bahn des vorbeiziehenden Lichtes noch durch Hyperbeln angenähert werden kann, ist diese Näherung bei kleinen Abständen unzulänglich bis falsch.
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