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hyperbola

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Hyperbola - Wikipedia
A hyperbola is a set of points, such that for any point of the set, the absolute difference of the distances to two fixed points (the foci) is constant , usually denoted by. : The midpoint of the line segment joining the foci is called the center of the hyperbola. The line through the foci is called the major axis. en.wikipedia.org
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12.2: The Hyperbola - Mathematics LibreTexts
A hyperbola is a conic section formed by intersecting a right circular cone with a plane at an angle such that both halves of the cone are intersected. math.libretexts.org
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Hyperbolas: Their Equations, Graphs, and Terms | Purplemath
An hyperbola looks like two parabolas opening in opposite directions. The term comes from the Greek word for excess, and refers to the eccentricity. www.purplemath.com
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hyperbola
hyperbola Geom. (haɪˈpɜːbələ) [a. mod.L. hyperbola, ad. Gr. ὑπερβολή the name of the curve, lit. excess (cf. hyperbole), f. ὑπερβάλλειν to exceed (ὑπέρ over + βάλλειν to throw). In F. hyperbole. The hyperbola was so named either because the inclination of its plane to the base of the cone exceeds th... Oxford English Dictionary
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Equation, Properties, Examples | Hyperbola Formula - Cuemath
A hyperbola is an important conic section formed by the intersection of the double cone by a plane surface, but not necessarily at the center. www.cuemath.com
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Hyperbola -- from Wolfram MathWorld
The hyperbola is the shape of an orbit of a body on an escape trajectory (ie, a body with positive energy), such as some comets, about a fixed mass, such as ... mathworld.wolfram.com
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Feuerbach hyperbola
The line is tangent to this hyperbola at . The pedal circle of any point on the hyperbola passes through the Feuerbach point, the center of the hyperbola. wikipedia.org
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Hyperbola - Math is Fun
A spacecraft can use the gravity of a planet to alter its path and propel it at high speed away from the planet and back out into space. www.mathsisfun.com
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Hyperbola
Hyperbola is an independent, free and libre system built from scratch using the package-management from Arch GNU/Linux and especially patchsets for security ... www.hyperbola.info
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Intro to hyperbolas (video) | Conic sections - Khan Academy
The shape of a hyperbola, as opposed to an ellipse, has to do with the behaviors of x and y as they approach infinity. A hyperbola's equation will result in ... www.khanacademy.org
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Equations of Hyperbolas | College Algebra - Lumen Learning
A hyperbola is a conic section formed by intersecting a right circular cone with a plane at an angle such that both halves of the cone are intersected. courses.lumenlearning.com
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8.4: Hyperbolas - Mathematics LibreTexts
A hyperbola is the set of points in a plane whose distances from two fixed points, called foci, has an absolute difference that is equal to ... math.libretexts.org
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hyperbola
hyperbola/haɪˈpɜ:bələ; haɪ`pəbələ/ n(geometry 几) curve produced when a cone is cut by a plane that makes a larger angle with the base than the side of the cone makes 双曲线. =>illus 见插图. 牛津英汉双解词典
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Unit hyperbola
When the conjugate of the unit hyperbola is in use, the alternative radial length is The unit hyperbola is a special case of the rectangular hyperbola on the unit hyperbola. wikipedia.org
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Hyperbolas - Standard Form This is probably a simple question but if $y = \frac{1}{x}$ is a hyperbola, then how does it comply with the standard form of a hyperbola? !Standard Form of Hyperbola
In general, for any angle of rotation $\theta$ from the $x-$axis, we may apply the following change of variable to put a hyperbola in standard form: $ $x = x\cos\theta - y'\sin\theta$$ $$y = x'\sin\theta +y'\cos\theta.$$ Notice our hyperbola $xy = 1$ is rotated by an angle of $\frac{\pi}{4}$ from the
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