A plane curve in mathematics that is approximately u-shaped

Today's crossword puzzle clue is a general knowledge one: A plane curve in mathematics that is approximately U-shaped. We will try to find the right answer to this particular crossword clue. Here are the possible solutions for "A plane curve in mathematics that is approximately U-shaped" clue.

In mathematics , a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a point the focus and a line the directrix. The focus does not lie on the directrix. The parabola is the locus of points in that plane that are equidistant from the directrix and the focus. Another description of a parabola is as a conic section , created from the intersection of a right circular conical surface and a plane parallel to another plane that is tangential to the conical surface. The line perpendicular to the directrix and passing through the focus that is, the line that splits the parabola through the middle is called the "axis of symmetry".

A plane curve in mathematics that is approximately u-shaped

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Online Math Solver. In geometry, a parabola is a two-dimensional, mirror symmetrical curve which is approximately U-shaped. It fits any of several superficially different mathematical descriptions which can all be proved to define curves of exactly the same shape. One description of a parabola involves a point the focus and a line the directrix. The focus does not lie on the directrix. The vertex is the point where the parabola intersects its axis of symmetry. The term "parabola" is derived from the Latin word parabolus, which means "to throw" or "to place side by side. A parabola can open either upwards or downwards.

A plane curve in mathematics that is approximately u-shaped

In mathematics , a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a point the focus and a line the directrix. The focus does not lie on the directrix. The parabola is the locus of points in that plane that are equidistant from the directrix and the focus. Another description of a parabola is as a conic section , created from the intersection of a right circular conical surface and a plane parallel to another plane that is tangential to the conical surface.

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Paraxial Optics. The point F is in the pink plane of the parabola, and the line VF is perpendicular to the plane of the parabola. The Steiner generation of a conic can be applied to the generation of a dual conic by changing the meanings of points and lines:. Parabolic shape formed by a liquid surface under rotation. If light travels along the line CE , it moves parallel to the axis of symmetry and strikes the convex side of the parabola at E. The latus rectum is defined similarly for the other two conics — the ellipse and the hyperbola. He discovered a way to solve the problem of doubling the cube using parabolas. This is derived from geometrical optics , based on the assumption that light travels in rays. Another hypothetical situation in which parabolas might arise, according to the theories of physics described in the 17th and 18th centuries by Sir Isaac Newton , is in two-body orbits , for example, the path of a small planetoid or other object under the influence of the gravitation of the Sun. Since B is on the x axis, which is the tangent to the parabola at its vertex, it follows that the point of intersection between any tangent to a parabola and the perpendicular from the focus to that tangent lies on the line that is tangential to the parabola at its vertex. Another perpendicular to the axis, circular cross-section of the cone is farther from the apex A than the one just described. The above proofs of the reflective and tangent bisection properties use a line of calculus.

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. The locus of points in the plane that are equally spaced apart from the directrix and the focus is known as the parabola. Even when Parabola is a mathematical concept, it is highly found in its surroundings.

Retrieved 30 September First, locate the point on the parabola where its slope equals that of the chord. One side of the parallelogram is the chord, and the opposite side is a tangent to the parabola. It is frequently used in physics , engineering , and many other areas. The " latus rectum " is the chord of the parabola that is parallel to the directrix and passes through the focus. The radius of curvature at the vertex is twice the focal length. You can search by using the letters you already have! Therefore, the point F, defined above, is the focus of the parabola. This conclusion about reflected light applies to all points on the parabola, as is shown on the left side of the diagram. Other points and lines are irrelevant for this purpose. The gap between the sheets is closed at the bottom, sides and top.