It is the pedal curve of the parabola where the pedal-point is taken as the reflection of the focus in the directrix. |
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The parabola results when the plane is parallel to a generating line of the cone. |
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As we saw earlier, x-axis is the pedal curve of the parabola with respect to its focus. |
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Let us begin where we left off, with the quadratic curves known as the circle, ellipse, hyperbola and parabola. |
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At an eccentricity of exactly one you have a parabola, and for eccentricities greater than one the orbit traces a hyperbola. |
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The circumcircle of a triangle formed by three tangents to a parabola passes through the focus of the parabola. |
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He defines evolutes and involutes of curves and, after giving some elementary properties, finds the evolutes of the cycloid and of the parabola. |
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The catenary is the locus of the focus of a parabola rolling along a straight line. |
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We conclude that A is the only point of intersection of that line with the parabola. |
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If the focus of the parabola is taken as the centre of inversion, the parabola inverts to a cardioid. |
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This exactly means that the directrix is the polar of the focus, while the focus is the pole of the directrix with respect to the parabola. |
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For aggressiveness, the coupe's hood rises higher, with multi-focal parabola headlamps cut into the forward edge. |
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The circumcircle of a triangle formed by three tangents to a parabola, passes through the focus of the parabola. |
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In other words, x-axis consists of the feet of the perpendiculars from the focus to the tangents to the parabola. |
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A feed system is placed with its phase center at the focus of the parabola. |
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If the cusp of the cardioid is taken as the centre of inversion, the cardioid inverts to a parabola. |
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I was in my usual spot in the library, graphing an inverse parabola, when a shadow fell over me. |
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He read Wallis's method for finding a square of equal area to a parabola and a hyperbola which used indivisibles. |
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In mathematics Jungius proved that the catenary is not a parabola. |
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The oscillating water column features a parabola, the two arms of which face out into the water, and a partially submerged structure. |
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You could trace his center of mass as a perfect parabola through the whole thing. |
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He rolled balls of varying size and weight down slopes with varying angles of incline. He showed that an object thrown into the air falls to the earth along a parabola. |
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But until last year, no analyst had thought to extrapolate the parabola shape out beyond the confines of professional baseball. |
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During the free-fall portion of each parabola, we experienced 20 seconds of weightlessness, a sensation akin to swimming without water. |
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As their efforts reach the downward end of each graceful parabola, they plop into the rice paddies in the valley below. |
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If I had that I would draw something that looked like an inverted parabola. |
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Because of its long range, the parabola probe can be used to pinpoint pneumatic air leaks over considerable distances. |
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The plane remains in free fall over the top of the parabola and part of the downward arc. |
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During the upward arc of the parabola, the thrust of the motors is controlled. |
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Each parabola lasts approximately 75 seconds, of which 15 to 20 seconds are at 0.01 g or less, followed by a 1.8 g pull-out. |
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When the sea level rises, the whole parabola has to rise with it, which means that extra sand is needed to build up the profile. |
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Each parabola provides 20-30 seconds of low-gravity conditions, followed by a 2.2 g pull-out. |
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Given a picture of a parabola, your task is to click on the point in the picture which you think is the focus of the parabola. |
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The focus and directrix of a parabola were considered by Pappus. |
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An unpowered glider can soar through the sky, a helicopter can hover and flit around, and a cannon can even shoot a circus performer in a parabola through the air. |
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Two tangents of a parabola are divided into segments of like proportion by a third and this third is divided in the same proportion by its point of tangency. |
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From a point above the evolute three normals can be drawn to the parabola, while only one normal can be drawn to the parabola from a point below the evolute. |
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Slice them any way you like, and you have a real-world example of conic sections 6 which can take the form of an ellipse, parabola, or hyperbola. |
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There will be fire on stage, the fire is generated true burning pasta and is placed in an metal bowl and protected with an aluminium parabola above the water. |
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For example, the BVP-E30 Series replaces the traditional use of vertical and horizontal saw-tooth and parabola waveforms for white-shading correction with digital 3D white-shading correction. |
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A parabola is permanently directed towards the sun and concentrates the rays on a focal point connected to the installation, where a Stirling engine is located. |
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In 1609 Galileo determined that the motion of any falling body is a parabola, and that its horizontal motion is independent of its vertical motion. |
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He designed a system based on five large reflectors, each 62 metres long and made of glass mirrors arranged to form a trough in the shape of a parabola. |
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A parabola can be defined by three points. |
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Canonical equations of a circle, ellipse, parabola and hyperbola. |
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We recorded vocalizations using a parabola, a Shure Beta-58 cardioid microphone, and a Nagra-E analog recorder. |
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A parabola has a curve that focuses all waves to a single point. |
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This value is interpolated by the method of least squares by taking the 10 points acquired before and after the point of Pmax and by regarding the pressure curve around of the maximum pressure as a parabola. |
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These generate modified sawtooth and parabola current waveforms to scan the electron beam in a linear way. |
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On the inertial frame, the bottom of the parabola is centered at the origin. |
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A semicubical parabola is a curve in which the ordinates are proportional to the square roots of the cubes of the abscissas. |
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The fx-CG20 comes with 55 types of color pictures that users can create graphs over, such as a picture of the parabola of jets from a water fountain and an image sequence of a clock's pendulum movement. |
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As the degree form Y2 or X2 of a parabola has only a single root, it has only one point at infinity. |
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For illustrating his thought, he uses the parabola of tomatoes: If you produce a million tomatoes, you risk that your tomatoes are worse than if you plan only one hundred. |
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Within these limits the maximum sale deflection of a beam of uniform curve may be taken as double that of a similar beam in which the curvative under stress, is a parabola. |
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Galilei further asserted that the parabola was the theoretically ideal trajectory of a uniformly accelerated projectile in the absence of friction and other disturbances. |
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Thus the total revenue curve for a monopoly is a parabola that begins at the origin and reaches a maximum value then continuously decreases until total revenue is again zero. |
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