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Isaac Newton predicted that because of the Earth's rotation, its shape should be an ellipsoid rather than spherical, and careful measurements confirmed his prediction.
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Taking the excited region to be an ellipsoid, the total volume of a single spot is 0.38 µm.
The volume of each BCS specimen was calculated using the formula of the volume of an ellipsoid [4/3·π·length axis radius·width axis radius·height axis radius], rather than using the formula of the volume of a cuboid [length·width·height], since the three-dimensional shape of any given BCS specimen generally better approximated that of an ellipsoid rather than that of a cuboid.
If two axes are equal, say a = b, and different from the third, c, then the ellipsoid is an ellipsoid of revolution, or spheroid (see the figure), the figure formed by revolving an ellipse about one of its axes.
The central piece of Arenicola hemoglobin is an ellipsoid while that of Lumbricus is a toroid.
with an equality if and only if is an ellipsoid.
with equality if and only if K is an ellipsoid.
with equality if and only if is an ellipsoid.
and equality holds if and only if is an ellipsoid.
Because Γ − p K is an ellipsoid which is centered at the origin, and together with (1.10), K is an origin-symmetric ellipsoid E if and only if Γ − p K is an origin-symmetric ellipsoid.
When a more accurate reference figure is required, an ellipsoid of revolution is used as a representation of Earth's shape and size.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com