Explore Ellipsoid through 10+ example sentences from English, with an explanation of the meaning and related words like ellipsoidal or spheroidal. Ideal for language learners, writers and word enthusiasts.
Ellipsoid meaning
- A surface, all of whose cross sections are elliptic or circular (including the sphere), that generalises the ellipse and in Cartesian coordinates (x, y, z) is a quadric with equation x²/a² + y²/b² + z²/c² = 1.
- Such a surface used as a model of the shape of the earth.
Synonyms of Ellipsoid
Using Ellipsoid
- The main meaning on this page is: A surface, all of whose cross sections are elliptic or circular (including the sphere), that generalises the ellipse and in Cartesian coordinates (x, y, z) is a quadric with equation x²/a² + y²/b² + z²/c² = 1. | Such a surface used as a model of the shape of the earth.
- Useful related words include: ellipsoidal, spheroidal, non-circular, rounded.
- In the example corpus, ellipsoid often appears in combinations such as: the ellipsoid, an ellipsoid, ellipsoid to.
Context around Ellipsoid
- Average sentence length in these examples: 21.7 words
- Position in the sentence: 3 start, 5 middle, 12 end
- Sentence types: 20 statements, 0 questions, 0 exclamations
Corpus analysis for Ellipsoid
- In this selection, "ellipsoid" usually appears near the end of the sentence. The average example has 21.7 words, and this corpus slice is mostly made up of statements.
- Around the word, reference, auxiliary, fit, used, algorithm and geodesics stand out and add context to how "ellipsoid" is used.
- Recognizable usage signals include the auxiliary ellipsoid and a half ellipsoid shaped piece. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "ellipsoid" sits close to words such as aar, abdulla and abimbola, which helps place it inside the broader word index.
Example types with ellipsoid
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Auxiliary latitudes are often employed in projecting the ellipsoid. (9 words)
The ellipsoid method is quite useful for attacking this problem. (10 words)
Its most important application is in the theory of ellipsoid geodesics. (11 words)
Since latitude is defined with respect to an ellipsoid, the position of a given point is different on each ellipsoid: one cannot exactly specify the latitude and longitude of a geographical feature without specifying the ellipsoid used. (37 words)
Since the normal at a general point on the ellipsoid does not pass through the centre it is clear that points on the normal, which all have the same geodetic latitude, will have differing geocentric latitudes. (36 words)
The remaining latitudes are not used in this way; they are used only as intermediate constructs in map projections of the reference ellipsoid to the plane or in calculations of geodesics on the ellipsoid. (34 words)
Example sentences (20)
Since latitude is defined with respect to an ellipsoid, the position of a given point is different on each ellipsoid: one cannot exactly specify the latitude and longitude of a geographical feature without specifying the ellipsoid used.
The remaining latitudes are not used in this way; they are used only as intermediate constructs in map projections of the reference ellipsoid to the plane or in calculations of geodesics on the ellipsoid.
A further conformal transformation from the sphere to the plane gives a conformal double projection from the ellipsoid to the plane.
Auxiliary latitudes are often employed in projecting the ellipsoid.
Datums may be global, meaning that they represent the whole earth, or they may be local, meaning that they represent a best-fit ellipsoid to only a portion of the earth.
Earth is not a sphere, but rather an ellipsoid that is flattened at the poles.
Ellipsoid algorithm, following Khachiyan This is the first worst-case polynomial-time algorithm for linear programming.
For example, the 'exact' version of the Transverse Mercator projection on the ellipsoid is not a double projection.
Further let β be the reduced latitude of P on the auxiliary ellipsoid.
In general the true vertical at a point on the surface does not exactly coincide with either the normal to the reference ellipsoid or the normal to the geoid.
Its most important application is in the theory of ellipsoid geodesics.
Let u be the semi-minor axis (OD) of the auxiliary ellipsoid.
Many maps maintained by national agencies are based on older ellipsoids so it is necessary to know how the latitude and longitude values are transformed from one ellipsoid to another.
No higher accuracy is appropriate for R since higher precision results necessitate an ellipsoid model.
Notable lines The developable surface may also be either tangent or secant to the sphere or ellipsoid.
Selecting a model for a shape of the Earth involves choosing between the advantages and disadvantages of a sphere versus an ellipsoid.
Since the normal at a general point on the ellipsoid does not pass through the centre it is clear that points on the normal, which all have the same geodetic latitude, will have differing geocentric latitudes.
Spherical models are useful for small-scale maps such as world atlases and globes, since the error at that scale is not usually noticeable or important enough to justify using the more complicated ellipsoid.
The ellipsoid method is quite useful for attacking this problem.
The first generation lithotriptor known as the Dornier HM3 (Human Model 3), has a half ellipsoid -shaped piece that opens toward the patient.
Common combinations with ellipsoid
These word pairs occur most frequently in English texts:
- the ellipsoid 12×
- an ellipsoid 5×
- ellipsoid to 5×
- reference ellipsoid 4×
- ellipsoid is 3×
- auxiliary ellipsoid 2×
- ellipsoid does 2×