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Summary Of: Parabola

parabola consisting of a... The parabola is an important concept in abstract mathematics... a parabola with an axis parallel to the... a parabola is a curve in the... A parabola may also be characterized as a conic section with an... A parabola can also be obtained as the... a parabola may be considered an ellipse that has one focus at... A parabola has a single axis of reflective... point of intersection of this axis and the parabola is called the vertex... A parabola spun about this axis in three dimensions traces out a shape known as a... The parabola is found in numerous situations in the physical world... a parabola with the focus at the origin and the directrix parallel to the... from the focus to the apex of the parabola or the perpendicular distance from the focus to the latus rectum... of symmetry and opposite the focus of the parabola from the vertex... This is similar to saying that a parabola is an ellipse... of symmetry and opposite the focus of the parabola from the vertex... This is similar to saying that a parabola is an ellipse... of symmetry and opposite the focus of the parabola from the vertex... This is similar to saying that a parabola is an ellipse... Given a parabola whose axis of symmetry is parallel to the... on the parabola will be equidistant from both the focus and a line perpendicular to the axis of... All this was for a parabola centered at the origin... The tangent of the parabola described by equation... will bounce off the parabola moving directly towards the focus... known instance of the parabola in the history of... Another situation in which parabola may arise in nature is in two... Parabola As Envelope of Straight Lines... Parabola As Envelope II...

Encyclodia Page On: Parabola

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Parabola (disambiguation) | A parabola | | | | A graph showing the reflective property, the directrix (green), and the lines connecting the focus and directrix to the parabola (blue) | | mathematics | /pəˈræbələ/ | Greek | conic section | conical surface | plane | focus | directrix | locus | points | equi | distant | degenerate | straight line | engineering | physics | Cartesian coordinates | Cartesian plane | irreducible | Parabolas are conic sections. | | conic sections | | | eccentricity | similar | limit | ellipses | infinity | inverse transform | cardioid | symmetry | paraboloid | polar coordinates | semilatus rectum | Gauss-mapped | Parabolic curve showing directrix (L) and focus (F). The distance from a given point Pn to the focus is always the same as the distance from Pn to a point Qn directly below, on the directrix. | | Parabolic curve showing arbitrary line (L), focus (F), and vertex (V). L is an arbitrary line perpendicular to the axis of symmetry and opposite the focus of the parabola from the vertex (i.e. farther from V than from F.) The length of any line F - Pn - Qn is the same. This is similar to saying that a parabola is an ellipse, but with one focal point at infinity. | | Q.E.D. | standard form | vertical | parabolic reflector | A bouncing ball captured with a stroboscopic flash at 25 images per second. Note that the ball becomes significantly non-spherical after each bounce, especially after the first. That, along with spin and air resistance, causes the curve swept out to deviate slightly from the expected perfect parabola | | air resistance | physics | trajectory | gravitational field | air resistance | friction | Galileo | mathematically | center of mass | Parabolic shape formed by the surface of a liquid under rotation | | liquid | hyperbola | ellipse | escape velocity | suspension bridges | catenary | parabolic reflector | electromagnetic radiation | focal point | 3rd century BC | Archimedes | Syracuse | Roman | telescopes | microwave | centrifugal force | liquid mirror telescope | Aircraft | weightless state | NASA | Vomit Comet | free fall | zero gravity | Catenary | Conic section | Ellipse | Hyperbola | Parabolic constant | Parabolic mirror | Parabolic partial differential equation | Paraboloid | doi | 2006 | 08-08 | | Wikisource | 1911 Encyclopædia Britannica | Eric W. Weisstein | MathWorld | cut-the-knot | cut-the-knot | cut-the-knot | cut-the-knot | cut-the-knot | cut-the-knot | cut-the-knot | Categories | Conic sections |
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Parabola".