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The poet had to follow strict rules laid down by the masters of rhetoric, rigidly observing the harmonious selection of similes thought proper to any one given sphere (four allusions to Qurʾānic figures, for example, or three garden images all given in a single verse).
Book XI sets out results on solid figures analogous to those for planes in Books I and VI; Book XII proves theorems on the ratios of circles, the ratios of spheres, and the volumes of pyramids and cones; Book XIII shows how to inscribe the five regular solids known as the Platonic solids in a given sphere (compare the constructions of plane figures in Book IV).
In addition, for a given sphere diameter, FCC packing featured larger equilibrium capacitance than SC packing.
The resulting interpolation curve is the intersection of the given sphere and the composite conical surface patch.
The precipitating solar wind spectrum, averaged over a given sphere, would peak at the mean energy of the upstream solar wind.
For the technically or mathematically minded, a geodesic dome is a spherical structure composed of triangular elements forming part of a network of circles, or 'geodesics', on the surface of a given sphere.
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Inversion in this point reduces Apollonius' problem to finding a plane that is tangent to three given spheres.
The extension of Apollonius' problem to three dimensions, namely, the problem of finding a fifth sphere that is tangent to four given spheres, can be solved by analogous methods.
These cyclides can be defined as the envelopes of all spheres that touch three given spheres; see [24].
We used a 104 fold dilution from stock into distilled water giving sphere concentration of 1.4×1011 spheres/mL.
Apparently, nitric acid content influenced the morphology, giving spheres as the prevailing output.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com