# Oblate spheroid

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 See Oblate, Prolate, and Ellipsoid.

Webster's Revised Unabridged Dictionary, published 1913 by G. & C. Merriam Co.
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The term that mathematicians would use to describe the shape of the earth is "oblate spheroid." Would you believe the earth actually has
Don't let that number mislead you, though; Kleopatra offers nothing like the elegant sphere of Ceres or the oblate spheroid of Vesta.
However, because of its gravity and rotation, Earth is actually an oblate spheroid, and this shape is represented in satellite observations.
The axis of symmetry is the [x.sub.1]-axis for the prolate spheroid and the [x.sub.3]-axis for the oblate spheroid. The asymptotic case of the needle can be reached by a prolate spheroid where 0 < [[alpha].sub.3] = [[alpha].sub.2] [much less than] [[alpha].sub.1] < +[infinity], while in the case where 0 < [[alpha].sub.3] [much less than] [[alpha].sub.2] = [[alpha].sub.1] < +[infinity] the oblate spheroid takes the shape of a circular disk.
Another assumption made in  is that droplets deform as an oblate spheroid of maximum half-diameter a.
where [summation] is a dimensionless rotation rate used by Chandrasekhar , who then goes on to obtain solutions for [summation] > 0 which correspond to the oblate spheroid. Here we consider the range -1/2 < [summation] < 0, corresponding to solutions for the prolate spheroid.
From here, the spinning black hole will have an event horizon that appears as an oblate spheroid.
We developed a method to calculate the distance between two points constrained to lie on the surface of the oblate spheroid. We assume the definition of distance between launch and target points (the launch and target points are just two given arbitrary points) to be the length of the curve resulting from the intersection of the given oblate spheroid with a plane which passes through the launch point and the target point.
The fruit is yellow-orange skinned and largely an oblate spheroid; it ranges in diameter from 10-15 cm.
Ellipsoids are extremely useful since it possible to find good approximations of different inclusions by changing the semi-axis , e.g., a filament can be modeled as a prolate spheroid and a thin chip as an oblate spheroid. This is done by choosing values for the ellipsoids semi-axis so that the diameter and length (thickness) are the same as for the inclusions.

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