Examples of using Polar coordinates in English and their translations into Romanian
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often on polar coordinates, illustrating the variation of luminous intensity of a lamp
for example, if polar coordinates are used in two dimensions or, in more general terms, if curvilinear coordinates are used, the formulas expressing
more intuitive to model using polar coordinates.
the differential transformation in polar coordinates).
Position and navigation[edit] Polar coordinates are used often in navigation as the destination
Position and navigation[editar] Polar coordinates are used often in navigation,
Three dimensions[editar] The polar coordinate system is extended into three dimensions with two different coordinate systems, the cylindrical and spherical coordinate systems, both of which include two-dimensional or planar polar coordinates as a subset.
there are references to his using polar coordinates in establishing stellar positions.
there are references to his using polar coordinates in establishing stellar positions.
it is possible to define the formula for the change of variables in polar coordinates:: please note that φ is valid in the& 91;
combining terms, the Pythagorean formula for distance in Cartesian coordinates produces the separation in polar coordinates as: :formula_32using the trigonometric product-to-sum formulas.
measured from 0 to 180°) and θ is the angle from the x-axis(as in the polar coordinates).
the function has some particular characteristics you can apply the transformation to polar coordinates( see the example in the picture) which means that the generic points P( x, y) in Cartesian coordinates switch to their respective points in polar coordinates.
Systems with a radial force are also good candidates for the use of the polar coordinate system.
Connection to spherical and cylindrical coordinates==The polar coordinate system is extended into three dimensions with two different coordinate systems,
Because of the circular nature of the polar coordinate system, many curves can be described by a rather simple polar equation,
horizontal give a polar coordinate(δ, a, β)
horizontal give a polar coordinate(δ, a, β)
One important aspect of the polar coordinate system, not present in the Cartesian coordinate system, is that a single point can be expressed with an infinite number of different coordinates.
In polar coordinates, the Hamiltonian can be written as.