Midsphere

Pronunciation varies by accent · noun

Meaning

A middle sphere or region..

Definitions by Sense

1. A middle sphere or region.
2. (geometry, solid geometry) The sphere which, if it exists, is tangent to every edge of a given polyhedron and with respect to which the polyhedron's vertices are the inversion poles of the planes of the faces of its dual polyhedron (and vice versa).
3. (geometry) The sphere, between two given spheres, by which each of the latter may be inverted into the other.
4. (religion, Vedic mythology, uncountable) A supposed realm between earth and heaven.

Example Sentences

For rescue or personnel-transfer purposes, the midsphere could also, like DSRV, be equipped with a transfer bell.

During a rescue operation, the mating system allows the transfer of rescuees from the disabled submarine to the midsphere of the DSRV via the transfer skirt which is rated to 20(K) feet.

The edges are omitted as irrelevant to the present argument, but the midspheres are still included because Kepler rather casually substitutes the midsphere for the insphere of the octahedron, since it happens to give a value closer to the observed distance.

A face of a Catalan solid can be simply constructed by the Dorman-Luke construction [3, 4, 6, 16], which is based on a dualization process known as polar reciprocation [6], with respect to the midsphere.

The Archimedean solids can all be inscribed in a sphere and in one of the Platonic solids. Their duals are the Catalan solids, with faces that are congruent but not regular (face-transitive); indtead of circumspheres like the Archimedean solids, they have inspheres. The midspheres, touching the edges, are common to both of them.

1994, Tim Gallagher, Bruce Piper, Chapter 7: Convexity Preserving Surface Interpolation, Nickolas S. Sapidis, Designing Fair Curves and Surfaces, page 179, For any two circles (spheres) there always exists at least one midcircle (midsphere) which inverts the two given circles (spheres) into each other. in the older literature this is also known as the circle (sphere) of antisimilitude. […] The center of a midcircle (midsphere) is the center of similitude of two given circles (spheres). […] Clearly the midcircle (midsphere) of two equal circles (spheres) is the midline (midplane) between the two, which is partial justification for calling inversion in a circle or sphere reflection in a circle or sphere.

This celestial river (Nadī) transforms into [the] terrestrial one (sindhu) after falling from heaven (midsphere) in the form of rain-drops.

The smoke emitted by a burnt solid being vikāra of gaseous water, experiences upward acceleration to join the midsphere water.

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