ellipsoids of revolution造句

• Then it can be shown that the equipotential solution is an ellipsoid of revolution.
• An ellipsoid of revolution has only two umbilics.
• 14 . " This article concentrates on the problem on an ellipsoid of revolution ( both oblate and prolate ).
• Assume that the spheroid, an ellipsoid of revolution, has an equatorial radius a and polar semi-axis b.
• Consequently, in contrast with a popular assumption, the toric lens is " not " an ellipsoid of revolution.
• :: : In the case of our planet, two ratii will suffice, as reference ellipsoids for the Earth are ellipsoids of revolution.
• An ellipsoid of revolution is uniquely defined by two numbers : two dimensions, or one dimension and a number representing the difference between the two dimensions.
• The ultimate goal of his computations was the determination of the precise shape of the Earth, which had long been known to be approximately an ellipsoid of revolution.
• :For an ellipsoid of revolution, the characteristic constant defining the geodesic was found by Clairaut ( 1735 ) in application to Cassini's map projection for France.
• The geoid is a gently undulating surface due to the irregular mass distribution inside the Earth; it may be approximated however by an ellipsoid of revolution called the reference ellipsoid.
• :In 1735, Clairaut first defined the characteristic constant of an ellipsoid of revolution when he solved the problem in application to the astronomer Cassini's map of France.
• To make computations feasible, scientists defined ellipsoids of revolution; a given ellipsoid would be a good compromise for measurements in a given area, such as a country or continent.
• Typically the model is based on simplifying assumptions, such as that, under its self-gravitation and rotational motion, the planet assumes the figure of an ellipsoid of revolution.
• Scientific literature ( particularly geodesy ) often uses'ellipsoid'in place of'ellipsoid of revolution'and only applies the adjective'tri-axial'when treating the general case.
• On the ellipsoid of revolution, geodesics may be written in terms of elliptic integrals, which are usually evaluated in terms of a series expansion; for example, see Vincenty's formulae.
• It is an ellipsoid of revolution, whose short ( polar ) axis ( connecting the two flattest spots called geographical north and south poles ) is approximately aligned with the rotation axis of the Earth.
• Any planar cross section of an ellipsoid forms an ellipse on its surface : this degenerates to a circle for sections normal to the symmetry axis of an ellipsoid of revolution ( or all sections when the ellipsoid degenerates to a sphere .)
• :: : Steve's point is valid, but mostly nullified by the fact that the Earth's shape is very close to an ellipsoid of revolution whose polar axis is the same one that our latitude and longitude coordinates are based on.
• Note that for biaxial crystals the index ellipsoid will " not " be an ellipsoid of revolution ( " spheroid " ) but is described by three unequal principle refractive indices " n " ?, " n " ? and " n " ?.
• The fifth paper is " Elliptic and Hyperbolic Analysis " which considers the spherical law of cosines as the fundamental theorem of the sphere, and proceeds to analogues for the ellipsoid of revolution, general ellipsoid, and equilateral hyperboloids of one and two sheets, where he provides the hyperbolic law of cosines.