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The curve of fastest descent is not a straight or polygonal line (blue) but a cycloid (red).. In physics and mathematics, a brachistochrone curve (from Ancient Greek βράχιστος χρόνος (brákhistos khrónos) 'shortest time'), [1] or curve of fastest descent, is the one lying on the plane between a point A and a lower point B, where B is not directly below A, on which a bead slides ...
English: [1] Forces on a particle on a smooth slope. There is a the force due to the weight of the particle (vertical) and the reaction of the slope on the particle (if the particle had spacial dimensions, these two forces would not be collinear and hence a torque would develop). [2]
The (unsigned) curvature is maximal for x = – b / 2a , that is at the stationary point (zero derivative) of the function, which is the vertex of the parabola. Consider the parametrization γ(t) = (t, at 2 + bt + c) = (x, y). The first derivative of x is 1, and the second derivative is zero.
a 2-sphere is an ordinary -dimensional sphere in -dimensional Euclidean space, and is the boundary of an ordinary ball ( -ball). a 3 -sphere is a 3 {\displaystyle 3} -dimensional sphere in 4 {\displaystyle 4} -dimensional Euclidean space.
The shape of the cross-section of a solid may depend upon the orientation of the cutting plane to the solid. For instance, while all the cross-sections of a ball are disks, [2] the cross-sections of a cube depend on how the cutting plane is related to the cube. If the cutting plane is perpendicular to a line joining the centers of two opposite ...
The AOL.com video experience serves up the best video content from AOL and around the web, curating informative and entertaining snackable videos.
The position of the ball compared to the datum lights indicated the aircraft's position in relation to the desired glidepath: if the ball was above the datum, the plane was high; below the datum, the plane was low; between the datum, the plane was on glidepath. The gyro stabilisation compensated for much of the movement of the flight deck due ...
The shoot kicked off in June 2023 in Morocco with the film’s 14-minute opening sequence, which Mescal calls “one of the best battle scenes Ridley has ever shot.”