| 单词 | ellipsoid |
| 例句 | The crucial dispute between Cartesians and Newtonians was over the shape of the Earth: Newton predicted an oblate ellipsoid, or flattened, Earth, while the Cartesians had predicted a prolate ellipsoid, or egg-shaped, Earth. The Invention of Science 2015-09-17T00:00:00Z Why was it necessary to calculate an error ellipsoid to accurately predict the satellite’s return to the planet’s surface? Hidden Figures 2016-09-06T00:00:00Z There are 20 windows, all in the same ellipsoid shape as the outer structure. Design: A Mobile Utopian House Is Star of a Rotterdam Design Exhibition 2011-08-14T13:12:00Z For the first time I was able to distinguish between olives, whereas before they all just tasted like over-salted ellipsoids forged in the furnaces of culinary hell. Frugal Traveler: Exercise and Olives, Part 2 2011-06-17T21:01:49Z “They’re not like chairs, even though they are chairs,” Castle says of the pieces, which feature cantilevered seats sprouting from clusters of ellipsoid forms. New Work by Wendell Castle at Friedman Benda 2015-03-16T04:00:00Z On Sunday, just before the Super Bowl, Skittles, the tasty ellipsoid confection, will present “Skittles Commercial: The Broadway Musical.” Who Needs a Super Bowl Ad? Skittles Ups the Ante With a Broadway Musical 2019-01-30T05:00:00Z At the start of the experiment, the team molded the clay into a "half ellipsoid" or half of an oval shape. Egypt’s Iconic Sphinx May Have Begun as Natural Carving by the Wind 2023-11-11T05:00:00Z This is because the Earth is not shaped like a perfect sphere but rather closer to an ellipsoid, with its thickness from the equator being roughly 70,000 feet wider than from the poles. The Indian Ocean's mysterious gravity hole may be the result of a prehistoric ocean erased by time 2023-07-26T04:00:00Z Dissecting these death-exposed flies revealed activity in the ellipsoid body, which integrates sensory information in the brain. These Flies Age Faster After Witnessing Death 2023-06-13T04:00:00Z A sphere, then, is an ellipsoid with a = b = c. Calculus, Volume 3 2016-03-30T00:00:00Z The central complex includes a ring-like structure called the ellipsoid body that contains heading neurons. How a fly’s neural compass adapts to an ever-changing world 2019-11-19T05:00:00Z They used changes in the shape of the microdroplets from spherical to ellipsoid to infer supracellular mechanical stresses, and so to map the spatial distribution of forces along the axis. Tissue ‘melting’ sculpts embryo 2018-09-04T04:00:00Z Improving the density of jammed disordered packings using ellipsoids. Granular materials flow like complex fluids 2017-10-31T04:00:00Z This oblate ellipsoid is brightest when viewed pole on, as the projected emitting surface area is greatest for this orientation. Origin of the heavy elements in binary neutron-star mergers from a gravitational-wave event : Nature : Nature Research 2017-10-15T04:00:00Z The trace of an ellipsoid is an ellipse in each of the coordinate planes. Calculus, Volume 3 2016-03-30T00:00:00Z The displacement parameter for the atomic position C6C corresponds to a strongly flattened ellipsoid. A low-spin Fe(iii) complex with 100-ps ligand-to-metal charge transfer photoluminescence : Nature : Nature Research 2017-03-28T04:00:00Z From radar observations, Psyche the asteroid appears ellipsoid in shape, about as wide as Massachusetts. A Metal Ball the Size of Massachusetts That NASA Wants to Explore 2017-01-06T05:00:00Z Despite this universality, the mean squared displacement of an individual ellipsoid follows a power law as a function of time, with an exponent that does depend on the strain amplitude and time. Granular materials flow like complex fluids 2017-10-31T04:00:00Z So he expected to find activity in the ellipsoid body, a very small region of a very small brain. The Circle That Gives Fruit Flies Direction 2015-06-08T04:00:00Z However, let’s put the equation into the standard form for an ellipsoid just to be sure. Calculus, Volume 3 2016-03-30T00:00:00Z These ribbons link up laterally into ellipsoid capsules between 12 and 65 nm in length, similar to the structure of a parapoxvirus. Self-Assembling Nanococcoons Mimic Natural Viruses 2014-11-24T05:00:00Z What is the M&M volume using the ellipsoid formula? Sizing Science: The Geometry of M&Ms 2012-11-29T15:45:04.660Z Here we use X-ray tomography to determine the microscale relaxation dynamics of hard granular ellipsoids subject to an oscillatory shear. Granular materials flow like complex fluids 2017-10-31T04:00:00Z Perhaps the slight alterations of the altitude of the pole which are at present being studied are connected with the continual slight deformations of the central ellipsoid occasioned by seismical happenings. Popular scientific lectures 2012-04-24T02:00:17.273Z So, this is, in fact, an ellipsoid, centered at the origin. Calculus, Volume 3 2016-03-30T00:00:00Z This can be obtained by considering the disk56 as a limiting case of an oblate ellipsoid of revolution, charged to potential V, say. Lord Kelvin An account of his scientific life and work 2012-04-06T02:00:32.097Z The West India gherkin is Cucumis Anguria, a plant with small, slender vines, and very abundant small ellipsoid green fruit covered with warts and spines. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 8 "Cube" to "Daguerre, Louis" 2012-01-31T03:00:17.257Z Similarly, the dielectric constants of a non-conducting crystal may be expressed by a sphere, spheroid or ellipsoid. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 7 "Crocoite" to "Cuba" 2012-01-22T03:00:24.397Z The acorn is ellipsoid, small and enclosed in a deep cup, whose scales are closely appressed. Forest Trees of Illinois How to Know Them 2011-10-08T02:00:23.997Z We can use the preceding two examples for the volume of the sphere and ellipsoid and then substract. Calculus, Volume 3 2016-03-30T00:00:00Z Three stations, projected on the surface of the sea, give a spherical or spheroidal triangle according to the adoption of the sphere or the ellipsoid as the form of the surface. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z Two ellipsoids in which the principal sections lie in the same planes, and have the same foci, are called confocal. The New Gresham Encyclopedia Volume 4, Part 2: Ebert to Estremadura 2011-04-14T02:00:56.200Z The thermo-electric force depends not only on the nature of the substance, but also on the direction within the crystal, and may in general be expressed by an ellipsoid. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 7 "Crocoite" to "Cuba" 2012-01-22T03:00:24.397Z It is closer to an ellipsoid, being flattened at the poles by the centrifugal force of its own rotation. The Geoid: Why a map of Earth's gravity yields a potato-shaped planet 2011-04-01T18:45:07.333Z Write the equation in standard form of the ellipsoid that represents the shape of Earth. Calculus, Volume 3 2016-03-30T00:00:00Z Consequently a quadric surface is covered by two sets of straight lines, a pair through every point on it; these are imaginary for the ellipsoid, hyperboloid of two sheets, and elliptic paraboloid. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z We have first to determine the mode in which electricity distributes itself on a conducting ellipsoid in free space. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 3 "Electrostatics" to "Engis" 2011-02-06T03:00:53.093Z A surface expressing the optical relations of such crystals is thus an ellipsoid of revolution about the optic axis. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 7 "Crocoite" to "Cuba" 2012-01-22T03:00:24.397Z A small spherical element of the body with its centre at the point becomes a small ellipsoid with its axes in the directions of these three filaments. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 2 "Ehud" to "Electroscope" 2011-01-29T03:00:23.777Z Now that we are familiar with the spherical coordinate system, let’s find the volume of some known geometric figures, such as spheres and ellipsoids. Calculus, Volume 3 2016-03-30T00:00:00Z Since the normals of the ellipsoid of rotation do not in general intersect, there consequently arises an influence of the height on the azimuth. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z It must be such a distribution that the potential in the interior will be Potential of an ellipsoid. constant, since the electric force must be zero. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 3 "Electrostatics" to "Engis" 2011-02-06T03:00:53.093Z In biaxial crystals there are different coefficients of expansion along three rectangular axes, and a sphere at one temperature will be an ellipsoid at another. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 7 "Crocoite" to "Cuba" 2012-01-22T03:00:24.397Z The geoid is above the ellipsoid of reference under mountains and it is below the ellipsoid on the oceans, where the geoid coincides with mean sea level. Development of Gravity Pendulums in the 19th Century Contributions from the Museum of History and Technology, Papers 34-44 On Science and Technology, Smithsonian Institution, 1966 2011-01-22T03:00:16.753Z For the next example we find the volume of an ellipsoid. Calculus, Volume 3 2016-03-30T00:00:00Z In the case of extensive operations the surface must be considered as a compressed ellipsoid of rotation, whose minor axis coincides with the earth’s axis, and whose compression, flattening, or ellipticity is about 1/298. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z The potential of such a shell at any internal point is constant, and the equipotential surfaces for external space are ellipsoids confocal with the ellipsoidal shell. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 3 "Electrostatics" to "Engis" 2011-02-06T03:00:53.093Z Note the tide which each of these stars raises in the other, thus changing their shapes from spheres into ellipsoids. A Text-Book of Astronomy 2011-01-05T03:00:57.347Z In 1849, Stokes derived a theorem whereby the distance N of the geoid from the ellipsoid of reference can be obtained from an integration of gravity anomalies over the surface of the earth. Development of Gravity Pendulums in the 19th Century Contributions from the Museum of History and Technology, Papers 34-44 On Science and Technology, Smithsonian Institution, 1966 2011-01-22T03:00:16.753Z The volume of space inside the ellipsoid and outside the sphere might be useful to find the expense of heating or cooling that space. Calculus, Volume 3 2016-03-30T00:00:00Z For the ellipsoid of rotation the measure of curvature is equal to 1/ρn, ρ and n being the radii of curvature of the meridian and perpendicular. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z Accordingly the distribution of electricity is such that equal parallel slices of the ellipsoid of revolution taken normal to the axis of revolution carry equal charges on their curved surface. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 3 "Electrostatics" to "Engis" 2011-02-06T03:00:53.093Z The Chicago Museum of Science and Industry has designed “whispering arches” from a giant metal ellipsoid structure called the Whispering Gallery. Calendar: MIND events in January and February 2011-01-04T16:16:38.357Z The reduction of triangulation base lines from the geoid to the reference ellipsoid. Development of Gravity Pendulums in the 19th Century Contributions from the Museum of History and Technology, Papers 34-44 On Science and Technology, Smithsonian Institution, 1966 2011-01-22T03:00:16.753Z “We immediately found you could do better than 72 percent,” said Dr. Chaikin, who had earlier worked with Dr. Torquato on the packing of squashed spheres, or ellipsoids. 2010-01-05T21:56:00Z Her triple screens flashed into furiously incandescent splendor and she entered unscathed that vacuous sphere, which collapsed instantly into an enormously elongated ellipsoid, at each focus a madly warring ship of space. Triplanetary In each case we have C = a when e = 0, and the ellipsoid thus becomes a sphere. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 3 "Electrostatics" to "Engis" 2011-02-06T03:00:53.093Z Gibson took up a broken length of stick and prodded intently in the cavity, prying out after a moment a glistening two-foot ellipsoid that struggled feebly on the ground. Pet Farm The report of the superintendent for the year 1880-1881 states: A new pattern of the reversible pendulum has been invented, having its surface as nearly as convenient in the form of an elongated ellipsoid. Development of Gravity Pendulums in the 19th Century Contributions from the Museum of History and Technology, Papers 34-44 On Science and Technology, Smithsonian Institution, 1966 2011-01-22T03:00:16.753Z This criticism would not hold of course as against large shells or pebbles or as against Miss Marwedel's hemispheres and ellipsoids. Froebel's Gifts Astronomy is not the science of circles and spheres, ellipses and ellipsoids, but of the Force whose sensible utterances are given in these curves. The Philosophy of Evolution Together With a Preliminary Essay on The Metaphysical Basis of Science Sporangium globose or ellipsoid, and somewhat elongated; the wall with tints of violet, purple, and blue, deciduous. The Myxomycetes of the Miami Valley, Ohio In form, too, it seemed curiously regular, ellipsoid. Salvage in Space The plumb line is perpendicular to the geoid, and the components of angle between the perpendiculars to geoid and reference ellipsoid are deflections of the vertical. Development of Gravity Pendulums in the 19th Century Contributions from the Museum of History and Technology, Papers 34-44 On Science and Technology, Smithsonian Institution, 1966 2011-01-22T03:00:16.753Z The spores are ellipsoid, 9–11�5–6�. The Mushroom, Edible and Otherwise Its Habitat and its Time of Growth But in June it has lost this withered appearance; it represents a perfect balloon, an ellipsoid of which the sections perpendicular to the major axis are circles. The Glow-Worm and Other Beetles Sporangia globose or ovoid to ellipsoid or oblong, erect or sometimes inclined or even nodding. The Myxomycetes of the Miami Valley, Ohio Hymenium on the surface of the gleba which is enclosed within the peridium up to the maturity of the spores or longer; spores continuous, sphæroid or ellipsoid, hyaline or colored. Studies of American Fungi. Mushrooms, Edible, Poisonous, etc. He was deeply interested in mathematical physics, and there is a theorem on the attraction of ellipsoids that bears his name. A Budget of Paradoxes, Volume II Grain is ellipsoid laterally pointed at the base. A Handbook of Some South Indian Grasses The general form of the egg is still that of a truncated ellipsoid. The Glow-Worm and Other Beetles Capillitium of slender violet tubules, forming a loose net-work, with slight expansions at the angles; the tubules with numerous rather large vesicular expansions, ellipsoid or fusiform in shape, and scantily furnished with lime. The Myxomycetes of the Miami Valley, Ohio Elliptical: oblong-oval, the ends equally rounded, together forming an even ellipsoid. Explanation of Terms Used in Entomology Her triple screens flashed into furiously incandescent splendor and she entered, unscathed, that vacuous sphere, which collapsed instantly into an enormously elongated ellipsoid, at each focus a madly warring ship of space. Triplanetary Grain is tightly enclosed by the hardened glume and its palea and is oblong or ellipsoid. A Handbook of Some South Indian Grasses The ellipsoid shrank to a sphere, the sphere grew a protuberance which separated and became a single bar-like cylinder. Invaders from the Infinite The sun, rising out of the Adriatic, turns into ellipsoids of silver the aluminum-colored observation balloons which form the city's first line of aerial defense. Italy at War and the Allies in the West Diagnostic characters: Form usually ellipsoid, never very elongate. Marine Protozoa from Woods Hole Bulletin of the United States Fish Commission 21:415-468, 1901 They vary, however, much both in size and shape: some are short and broad, decidedly pointed at the small end; others are more elongated, and some are almost regular ellipsoids. The Nests and Eggs of Indian Birds, Volume 1 The Balloon is, as before stated, an ellipsoid or solid oval; in length, 13 feet 6 inches, and in height, 6 feet 8 inches. A Project for Flying In Earnest at Last! The lines of meeting of these principal sections are the axes, or principal diameters of the ellipsoid. The Gutenberg Webster's Unabridged Dictionary Section D and E Sometimes it is rather oval, at other times more ellipsoid or spindle-shaped; in some cases it is half round, or even almost round, and in others lengthened out, or almost cylindrical. The Evolution of Man — Volume 1 The berry is round, like the red English berries, instead of ellipsoid, like their white or golden ones. Success with Small Fruits The paths traced out by the pole of this axis on the invariable plane and on the central ellipsoid form interesting subjects of mathematical investigation. Five of Maxwell's Papers —He means a ball having the form of the ellipsoid of the principal axes of which I spoke a moment ago. A Portrait of the Artist as a Young Man It is a roomy niche, shaped like a flattened ellipsoid, the length of which reaches eighty to a hundred millimetres. The Wonders of Instinct Chapters in the Psychology of Insects Its form is that of an ellipsoid, with a major axis 26 millimetres in length, while the minor axis measures 11 millimetres. More Hunting Wasps These cocoons are oval-shaped and may be regarded as ellipsoids formed by a revolution around the major axis. Bramble-Bees and Others Obviously if the stars had been assumed to be ellipsoids they would have been found to overlap, as was the case for RR Centauri. Darwin and Modern Science The roof was the long half of an ellipsoid, and the opening in it was over one of the foci of the ellipse of the floor. Lilith, a romance Accordingly it is reasonable to adopt the hypothesis that the system consists of a pair of elongated ellipsoids, with their longest axes pointed towards one another. Darwin and Modern Science Myers applied the theory of eclipses to the light-curve, on the hypothesis that the stars are elongated ellipsoids, and he obtained the interesting results exhibited in Fig. Darwin and Modern Science As I stood trembling beside the cage, I knew that in the black ellipsoid I had been in the brain of the princess!—I saw the tail of the leopardess quiver once. Lilith, a romance The circular cylinders are exactly analogous with our planetary spheroids, and the elliptic ones with the Jacobian ellipsoids. Darwin and Modern Science |
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